Li 插层 Fe3GaTe2中的显著磁性增强

Li 插层 Fe3GaTe2中的显著磁性增强的重点在于把前置条件、操作顺序和容易误判的地方分清楚。

{"type":"doc","content":[{"type":"heading","attrs":{"id":"6a15b082-db63-41aa-90b8-9651b18d555c","textAlign":"inherit","indent":0,"level":1,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层 Fe3GaTe2中的显著磁性增强"}]},{"type":"paragraph","attrs":{"id":"62c91b2d-acf1-41db-b797-f3eafe342608","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"J. APPL. PHYS. 2026"}]},{"type":"paragraph","attrs":{"id":"6c43a4e0-be7b-466e-8ec6-61ca1a20c5fa","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层 Fe₃GaTe₂中的显著磁性增强"}]},{"type":"paragraph","attrs":{"id":"e1189505-48c4-406c-af76-26f7315f6d75","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Significantly Improved Curie Temperature in van der Waals Fe₃GaTe₂ by Li-Ion Intercalation"}]},{"type":"paragraph","attrs":{"id":"1de6c6b0-4fd2-42a7-8627-0e7cad714428","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"导读 导读：本文通过 DFT 计算和蒙特卡洛模拟，预测 Li 离子插层可将范德华磁体 Fe₃GaTe₂ 的居里温度从 365 K 大幅提升至 770 K——超过两倍的增强。电子掺杂同时增强了层间铁磁耦合（自旋极化界面电子中介）和层内自旋交换（Fe 3d 轨道占据优化），为高居里温度 vdW 磁体的设计提供了理论指导。"}]},{"type":"image","attrs":{"id":"a2bd64ed-eeb5-4b2a-ad5e-a5ea72dcc060","src":"https://developer.qcloudimg.com/http-save/audit-12559234/a93783693fb0930126b38999d4db1df7.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"9611360d-7016-4402-9eb8-c48ed427d41b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【一、前言背景】"}]},{"type":"paragraph","attrs":{"id":"6858e079-7e4c-459e-875d-8cb85a14b3f2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"1.1 范德华磁性材料的发展历程"}]},{"type":"paragraph","attrs":{"id":"ccebd54b-ebaa-4942-9256-1bce1f018978","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"vdW 层状磁性材料是凝聚态物理近十年的研究热点——从 CrI₃ 单层铁磁性的发现（Nature 2017）开始，该领域迅速发展。"}]},{"type":"paragraph","attrs":{"id":"7bcf676b-eceb-4f6e-b69c-4d5930770bc7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"T_C 演进路线：CrI₃（45-61 K, 2015-2017）→ Fe₃GeTe₂（~100-300 K, 2018-2020）→ Fe₄GeTe₂/Fe₅GeTe₂（~250-310 K, 2019-2020）→ Fe₃GaTe₂（~350-380 K, 2022-2024）。"}]},{"type":"paragraph","attrs":{"id":"e822fe0c-1588-44a0-8528-f75b7079bd1f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"短短数年内，本征 T_C 提升了近一个数量级——这得益于新材料的不断发现和合成技术的进步。"}]},{"type":"paragraph","attrs":{"id":"c55efa07-ddaa-44a4-a484-a2e160081393","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"目前已形成庞大的 vdW 磁性材料家族——涵盖 Cr 基、Fe 基、Mn 基等多种体系，为自旋电子学器件提供了丰富的候选材料。"}]},{"type":"paragraph","attrs":{"id":"d89e7953-bc94-49fb-aa88-f68682da6abe","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"1.2 Fe₃GaTe₂：当前 T_C 最高的 vdW 磁体之一"}]},{"type":"paragraph","attrs":{"id":"3e6c32ce-5c9d-4727-a407-ba3ab24267bf","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Fe₃GaTe₂（FGaT）具有六方晶体结构，空间群 P6₃/mmc——每单胞包含两个由 vdW 间隙分隔的单层。"}]},{"type":"paragraph","attrs":{"id":"a4df0a69-1dbc-43d3-a40f-f147017f69fc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"每单层由五个原子亚层组成：Te-FeI-(FeIIGa)-FeI-Te，其中 FeI 和 FeII 为两个不等价 Fe 位点。"}]},{"type":"paragraph","attrs":{"id":"e475ae8b-e5e0-4b65-b831-50fa2d205495","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"实验测量：FGaT 体相 T_C = 350-380 K，单层 T_C ≈ 240-260 K——已接近或超过室温，是 vdW 磁体中的最高水平之一。"}]},{"type":"paragraph","attrs":{"id":"b226cdb6-2a3f-4c25-9b4e-f4db54136707","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"晶格常数：a = 4.06-4.09 Å, c = 16.07-16.15 Å——DFT 计算与实验吻合良好，为后续插层研究提供了可靠的结构基础。"}]},{"type":"paragraph","attrs":{"id":"e2928806-9b48-4ff8-87ca-319514a4e873","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"1.3 T_C 对器件应用的决定性作用"}]},{"type":"paragraph","attrs":{"id":"5aed3b90-c670-4a4c-993d-92d86ddc1405","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"对于实际器件，T_C 和操作温度之间需要足够的余量以确保磁体维持稳定功能——这是决定器件工作温度上限的关键性能指标。"}]},{"type":"paragraph","attrs":{"id":"c8c9a0e0-92ec-4526-80e6-79c4d0b839d2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"作为参考：商用 NdFeB 磁体的 T_C ≈ 300°C，但稳定操作温度通常仅限 ~100°C——安全余量约 200°C。"}]},{"type":"paragraph","attrs":{"id":"e836fd4b-8981-43e8-aa84-5622390357ec","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"vdW 磁体若要应用于自旋阀、磁隧道结（MTJ）和自旋轨道转矩（SOT）器件，T_C 必须远超室温。"}]},{"type":"paragraph","attrs":{"id":"fe252b0d-8f0a-4881-a949-6f9b7fff76fa","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"因此，探索大幅提升 T_C 的策略，对于实现基于 vdW 磁体的热稳定室温纳米器件至关重要。"}]},{"type":"paragraph","attrs":{"id":"87051981-259f-421c-95c6-b73e0e85bde8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"1.4 Li 离子插层策略的历史与成效"}]},{"type":"paragraph","attrs":{"id":"bdba191b-6bcc-496b-861d-8691e0678f00","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 离子插层（或注入）是一种广泛应用于 vdW 层状材料的组分调控策略——在磁性增强方面已展现出显著效果。"}]},{"type":"paragraph","attrs":{"id":"02454c62-c21d-49fa-9dc3-feb023318328","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"里程碑一：Deng 等（Nature 2018）实验将 Li 离子嵌入 Fe₃GeTe₂，T_C 从 ~100 K 提升至 >300 K——提升约 3 倍。"}]},{"type":"paragraph","attrs":{"id":"16e3e672-2737-4f70-aff6-7d48a1386f13","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"里程碑二：Wang 等（ACS Nano 2024）实验将 Li 离子嵌入 CrI₃，T_C 从 ~50 K 提升至 >400 K——提升约 8 倍。"}]},{"type":"paragraph","attrs":{"id":"c91bfdc6-2c1c-4c53-877e-a5bba393e45f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"DFT 计算揭示（Huang 等, Appl. Phys. Lett. 2021）：T_C 增强源于电子掺杂——同时强化层间和层内铁磁（FM）耦合。"}]},{"type":"paragraph","attrs":{"id":"828a75c1-d6ee-4cb6-80a0-8fb2eb007d35","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"1.5 Li 插层增强磁性的物理机制"}]},{"type":"paragraph","attrs":{"id":"757e0cb8-3880-47ad-be12-9fedeb4026bf","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"电子掺杂效应：Li 的 2s 电子注入 FGaT 导带——提供界面自旋极化中介载流子，增强跨 vdW 间隙的层间 FM 耦合（类似 RKKY 机制）。"}]},{"type":"paragraph","attrs":{"id":"9ec6ead7-d0ec-49b1-81d2-b09d5b441a14","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"层内电荷重新分布：电子掺杂改变 Fe 3d 轨道占据——部分电子从自旋向下通道翻转到自旋向上通道，增大了局域磁矩和交换劈裂。"}]},{"type":"paragraph","attrs":{"id":"c63b1fe7-ad60-4275-a687-8a4a5c9fb78c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"协同增强：层间增强的 FM 耦合通过分子场效应进一步稳定层内 FM 序——两个机制相互促进，非简单相加。"}]},{"type":"paragraph","attrs":{"id":"e5a3a348-6329-4494-9a3c-301c3267994c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Te 介导的间接交换：Li 向 Te 捐赠电子后，Te 对周围 Fe 的电子需求减少——Fe-Fe 直接交换和 Fe-Te-Fe 超交换均被增强。"}]},{"type":"paragraph","attrs":{"id":"eb2bb41d-ad87-410b-8e44-93d8818c4c30","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"1.6 本文研究动机与核心目标"}]},{"type":"paragraph","attrs":{"id":"2aad59cb-9c2c-4863-b4a1-27302fe8cf9b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"既然 Li 插层对低 T_C 的 Fe₃GeTe₂ 和 CrI₃ 有效，那么对已有更高本征 T_C 的 FGaT 进行 Li 插层——有望实现远超室温的稳定铁磁性。"}]},{"type":"paragraph","attrs":{"id":"6cba40bd-8f17-48d8-b027-efb2b824c9f8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"核心目标：通过 DFT 计算构建 Li 插层 FGaT（Li-FGaT）晶格模型——预测 T_C 可达 770 K，并揭示电子掺杂增强磁性的微观机制。"}]},{"type":"paragraph","attrs":{"id":"8e2d9fd7-deb2-44e3-8c3e-48e96590096b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"本文还考察了双层模型（不同 Li 浓度和空间分布）的磁性——验证 Li 插层策略在厚度、浓度和空间分布上的普适性。"}]},{"type":"paragraph","attrs":{"id":"dac48b6e-52d6-4f7b-8e64-ad43c2ca1d36","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"最终目标：为实验提供可测试的明确预测（Li-FGaT, T_C ~ 770 K），并为高 T_C vdW 磁体的电子掺杂设计提供理论框架。"}]},{"type":"paragraph","attrs":{"id":"a89097bf-9659-4cd6-ad8c-cb9d892a5671","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【二、研究方法】"}]},{"type":"paragraph","attrs":{"id":"b6337b88-3d85-4df4-a783-3ba1a0d6a490","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"2.1 DFT 计算框架"}]},{"type":"paragraph","attrs":{"id":"345196bd-142a-44e5-b981-0db09bbd3806","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"采用 VASP（Vienna Ab initio Simulation Package）程序包进行第一性原理计算——基于平面波基组和赝势方法。"}]},{"type":"paragraph","attrs":{"id":"e1e597be-1263-4a3b-a656-8451c3dba824","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"交换关联泛函：PBE（Perdew-Burke-Ernzerhof）形式的 GGA 泛函——广泛用于过渡金属化合物的电子结构计算。"}]},{"type":"paragraph","attrs":{"id":"2f9dfa6c-85f1-4961-af71-a7ff145ad11b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"范德华相互作用：DFT-D3 方法（Grimme 等, J. Chem. Phys. 2010）——用于准确描述 vdW 层状材料中的层间弱相互作用。"}]},{"type":"paragraph","attrs":{"id":"fd5afc78-bee3-4dfd-8952-59c43b45666e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"平面波截断能：400 eV——足以收敛 Fe、Ga、Te 等元素的电子波函数。力收敛标准：0.005 eV/Å——确保结构优化充分。"}]},{"type":"paragraph","attrs":{"id":"b0a68434-27c3-40c0-b59c-14cbbae2ef28","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"2.2 Hubbard U 校正与参数选择"}]},{"type":"paragraph","attrs":{"id":"7c01c6e1-e246-47a9-a122-e7de2c64efd1","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Hubbard U = 1.3 eV 用于 Fe-3d 电子的关联效应修正（Dudarev 等, Phys. Rev. B 1998）——采用 DFT U 旋转不变方案。"}]},{"type":"paragraph","attrs":{"id":"f2d97a31-53b3-4cfb-b2bf-5040e45a5593","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"U 值的选择依据：该 U 值使计算得到的 FGaT 体相 T_C（365 K）与实验测量值（350-380 K）吻合良好——验证了参数设置的可靠性。"}]},{"type":"paragraph","attrs":{"id":"b07eb387-f872-4823-b54c-2d70fdd136a8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"电子自洽收敛标准：10⁻⁶ eV——确保总能计算精度足以分辨不同磁序之间的微小能量差异（~meV 量级）。"}]},{"type":"paragraph","attrs":{"id":"06f6d4f7-44ff-4492-96df-09545753663a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"DFT U 方法在过渡金属氧化物和硫属化合物中广泛应用——能够有效修正 3d 电子的自相互作用误差。"}]},{"type":"paragraph","attrs":{"id":"c9924e6d-d556-4f27-9820-cea13cc396eb","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"2.3 k 点网格与计算精度"}]},{"type":"paragraph","attrs":{"id":"98927779-f142-4973-9364-32bfb537f3f2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Monkhorst-Pack（Γ 中心）k 点网格：体相单胞 24×24×4，2×2×1 超胞 12×12×4——密集网格确保总能收敛。"}]},{"type":"paragraph","attrs":{"id":"271f8cae-0cae-4442-a7f8-feb727bd98a7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"单层/双层板模型：24×24×1（单胞）或 12×12×1（2×2×1 超胞）——板模型仅在面向有周期性，z 方向无需 k 点采样。"}]},{"type":"paragraph","attrs":{"id":"0a49147f-f71f-435b-9417-9c4a6353ab31","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"声子谱计算：使用 PHONOPY 代码基于有限位移法——验证晶格动力学稳定性（无虚频）。"}]},{"type":"paragraph","attrs":{"id":"fdbb1f9f-8ef1-4cc6-a824-4e879f99e693","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"AIMD 模拟：4×4×1 超胞（224 原子），正则系综，Nosé-Hoover 恒温器 500 K——时间步长 1 fs，模拟 5 ps。"}]},{"type":"paragraph","attrs":{"id":"7144c4be-cefc-4e74-94ab-375912f54e55","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"2.4 交换参数提取：能量映射方法"}]},{"type":"paragraph","attrs":{"id":"dbc5a4f0-1b26-449b-80c4-69ab49bea413","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"采用经典 Heisenberg 自旋哈密顿量描述 Fe 自旋晶格——包含交换项 J_ij 和单离子各向异性（SIA）项 A。"}]},{"type":"paragraph","attrs":{"id":"f36a4d3e-4424-4086-8a4e-55042f47d038","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"能量映射方法：构建 2×2×1 超胞中六种不同磁序（MO-1 至 MO-6），计算每种磁序的 DFT 总能——建立总能与交换参数的线性方程组（Eqs. 2-7）。"}]},{"type":"paragraph","attrs":{"id":"467b74cb-40b4-4fbf-8da7-cdae64ccbda2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"五个交换参数：J₁（FeI-FeI 最近邻）、J₂（FeII-FeII 最近邻）、J₃（FeI-FeII 最近邻）、J₄（FeI-FeI 垂直）、J₅（层间 FeI-FeI）。"}]},{"type":"paragraph","attrs":{"id":"f94bf457-be41-450c-8d50-39952685f2c8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"SIA 参数 A 通过 MCA 能量提取：E_MCA = E[001] − E[100] = N_Fe·A——其中 N_Fe 为单胞中 Fe 位点数。"}]},{"type":"paragraph","attrs":{"id":"15db6c52-fdca-4ff0-b7e7-71d39bba41fc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"2.5 蒙特卡洛模拟设置"}]},{"type":"paragraph","attrs":{"id":"1bbe663a-ddd3-481f-b0b9-70f0083ba246","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"使用 MCsolver 软件（Liu 等, J. Phys. Chem. Lett. 2020）——基于 Metropolis 算法的经典自旋蒙特卡洛模拟。"}]},{"type":"paragraph","attrs":{"id":"fb96db71-60c6-458f-bfd3-4f6c81e278c0","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"体相系统：60×60×20 超胞——从 10 K 起以 10 K 步长升温，每温度 8×10⁴ 步热平衡 1.6×10⁵ 步统计平均。"}]},{"type":"paragraph","attrs":{"id":"cba516b7-9daf-4718-9d56-b997a9653d2f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"单层/双层板系统：60×60×1 超胞——自旋涨落显著，需更长的平衡和采样时间（8×10⁵ 1.6×10⁶ 步/温度）。"}]},{"type":"paragraph","attrs":{"id":"dd92221c-2b9e-4666-b678-52c34f2c302d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"初始磁构型：面外 FM 态——通过 Curie-Bloch 方程 M(T) = (1 − T/T_C)^β 拟合 M-T 曲线提取 T_C。"}]},{"type":"paragraph","attrs":{"id":"2c378740-00bf-45e9-89be-14c20d1d0eae","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"2.6 磁晶各向异性与稳定性验证"}]},{"type":"paragraph","attrs":{"id":"83eee101-b7ad-418b-af79-63ff4e54cec6","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"磁晶各向异性（MCA）能量：E_MCA = E[001] − E[100]——计算包含自旋轨道耦合（SOC）的 DFT 总能差。"}]},{"type":"paragraph","attrs":{"id":"f94e8017-2987-42e4-a903-0d3d86c74c68","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FGaT 体相：E_MCA = −2.82 meV/单胞，A = −0.47 meV/Fe——负值表示垂直磁各向异性（PMA），与实验观察一致。"}]},{"type":"paragraph","attrs":{"id":"b587b03e-ea3a-4024-bbae-1ed860ed9971","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"声子谱验证：无虚频模式 → 晶格动力学稳定——AIMD 验证（500 K, 5 ps）→ 晶格框架保持完好，Li 离子留在最优位点。"}]},{"type":"paragraph","attrs":{"id":"fce87732-727a-4c15-9cad-c3d69d4ff900","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层能：E_int = E(Li-FGaT) − E(FGaT) − E(Li) = −1.69 eV——负值表明 Li 离子在八面体位点能量稳定。"}]},{"type":"paragraph","attrs":{"id":"5fbaa557-17d4-474a-9b64-1dc2a7e06753","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【三、实验结果】"}]},{"type":"image","attrs":{"id":"a7f58af5-2b5a-4e2c-af62-d2223b698dfb","src":"https://developer.qcloudimg.com/http-save/audit-12559234/163ad22526039814ca52f0aae15083b3.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"80866bcb-40f0-42e0-9488-65dfdd1c5b0c","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 1：FGaT 体相。(a) 侧视图和 (b) 俯视图——红色框标示单胞；(c) 五种交换耦合 J₁-J₅ 的示意图；(d) 用于计算交换参数的六种磁序（MO-1 至 MO-6）——深蓝/浅蓝球为自旋向上 FeI/FeII，红/浅粉球为自旋向下 FeI/FeII；(e) 计算得到的五种交换参数；(f) MC 模拟的 M-T 结果——蓝方块/绿圆点为 FGaT 体相/单层数据，红/橙曲线为 Curie-Bloch 拟合。"}]},{"type":"paragraph","attrs":{"id":"644aced5-9da7-4a10-b7f0-d1c8b8da1f00","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.1 FGaT 原始晶体结构与磁性质"}]},{"type":"paragraph","attrs":{"id":"4a265537-9266-4fab-8ec1-7af67eef4c0a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FGaT 具有六方结构（P6₃/mmc）——每单胞包含两个单层（2 f.u.），由 vdW 间隙分隔。每单层五个原子亚层：Te-FeI-(FeIIGa)-FeI-Te。"}]},{"type":"paragraph","attrs":{"id":"f81bb6d0-9ba0-4a1c-98c4-6f713f23c8a4","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"两个不等价 Fe 位点：FeI 位于外层亚层（与 Te 直接键合），FeII 位于中心亚层（与 Ga 共占据）——每个亚层原子占据三个三角形亚晶格位点（site-A/B/C）之一。"}]},{"type":"paragraph","attrs":{"id":"9ef5390b-6429-4565-b515-9dcf7a9497fc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"计算晶格常数：a = 4.06 Å, c = 16.15 Å——与实验值（a = 4.09 Å, c = 16.07 Å, Lee 等 Nano Lett. 2023）吻合良好。"}]},{"type":"paragraph","attrs":{"id":"135eb947-b68f-4114-a265-8f8b52406f59","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"铁磁性起源于自旋极化 Fe-3d 电子——FGaT 呈 FM 金属性电子结构，每单胞磁矩 13.44 μB。"}]},{"type":"paragraph","attrs":{"id":"858f4a9f-3d6a-46ae-b419-f616f6f22297","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.2 FGaT 的交换参数 J₁-J₅"}]},{"type":"paragraph","attrs":{"id":"5ccb3053-dee4-472f-b988-06c8499f308d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"通过能量映射方法，在 2×2×1 超胞中构建六种磁序（MO-1 至 MO-6），利用 DFT 总能建立线性方程组（Eqs. 2-7）求解交换参数。"}]},{"type":"paragraph","attrs":{"id":"f4447122-9b9d-4a44-b43f-6fdab8ad8e76","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"J₁（FeI-FeI NN）和 J₂（FeII-FeII NN）较小——同一亚层内的最近邻交换对 FM 序的贡献有限。"}]},{"type":"paragraph","attrs":{"id":"e58170dd-1614-4329-97ca-1a5f16084eea","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"J₃（FeI-FeII NN）和 J₄（FeI-FeI 垂直）建立层内 FM 序——是主导的层内交换参数。"}]},{"type":"paragraph","attrs":{"id":"c71d9d0d-f2bd-47a1-bd74-1bfc482365f3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"J₅（层间 FeI-FeI 垂直）对应层间 FM 耦合——证实 FGaT 体相具有层间 FM 耦合，与前期研究一致（Li 等, Appl. Phys. Lett. 2023）。"}]},{"type":"paragraph","attrs":{"id":"27019cbe-5e9c-471a-9058-d149c057e72b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.3 FGaT 的 MC 模拟验证"}]},{"type":"paragraph","attrs":{"id":"318498ee-d4d0-4a63-8ce5-49ed096215db","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"利用 DFT 提取的交换参数和 SIA 参数，进行 MC 模拟获得 M-T 曲线——FGaT 体相 T_C = 365 K，单层 T_C = 260 K。"}]},{"type":"paragraph","attrs":{"id":"a395ec4e-2d76-4a52-85a4-2cd1d8e2a5eb","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Curie-Bloch 拟合：M(T) = (1 − T/T_C)^β，β = 0.32——对体相和单层均提供良好拟合。"}]},{"type":"paragraph","attrs":{"id":"ace35bec-bbd0-4d61-9648-0a2976d61a8c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"体相 T_C = 365 K 与实验值（350-380 K, Zhang 等 Nat. Commun. 2022; Wang 等 npj 2D Mater. Appl. 2024）吻合——验证了计算方法和参数设置的可靠性。"}]},{"type":"paragraph","attrs":{"id":"d4d227f9-2591-4230-85f4-3bdfd36e0a1d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"单层 T_C = 260 K 与实验值（~240 K, Wang 等）基本一致——进一步确认了 DFT U（U = 1.3 eV）方案的准确性。"}]},{"type":"image","attrs":{"id":"f704890a-8c89-40d4-a0c4-97c2c95467ba","src":"https://developer.qcloudimg.com/http-save/audit-12559234/feb4f8bd9bc82121a946d946e8257b24.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"3c395e7e-3e33-42eb-b4b9-1b07354780cd","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Heisenberg 自旋哈密顿量：J_ij 为交换耦合常数，S_i 为经典自旋单位矢量，A 为单离子各向异性参数——求和遍历所有 Fe 位点对。"}]},{"type":"image","attrs":{"id":"ac04d188-8d92-42b9-930e-df224f147105","src":"https://developer.qcloudimg.com/http-save/audit-12559234/17270381e9b80c808ab2e998468aaf87.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"6f2f082f-fb26-496d-b9ed-4adfd6ba6ab5","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"能量映射方程组（示例）：E_bulk(1) = E₀ 48J₁ 24J₂ 48J₃ 8J₄ 8J₅——六种磁序对应六个方程，联立求解 J₁-J₅。"}]},{"type":"image","attrs":{"id":"7e37730a-bd64-41fa-a5f0-69381713e466","src":"https://developer.qcloudimg.com/http-save/audit-12559234/c7a68886c259b9dc224ae33e5fc8901f.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"795ffe71-53cc-4ff1-8db0-571181f51e1f","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 2：Li-FGaT 体相。(a) 侧视图和俯视图——粉色球（site-A）为插层 Li 离子；(b) 声子能带结构——无虚频，确认动力学稳定；(c) AIMD 模拟中温度和能量随时间的演化——时间步长 1 fs；(d) 5 ps AIMD 模拟后的晶格结构快照——Li 周围 Te 配位结构显示为白色八面体，FeII（或 Ga）周围 FeI 配位结构显示为浅蓝（或浅绿）三棱柱。"}]},{"type":"paragraph","attrs":{"id":"49dec5af-4860-4ad6-ba48-0b3037befcd2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.4 Li-FGaT 晶格模型构建"}]},{"type":"paragraph","attrs":{"id":"c1aaf171-d2e5-4107-8147-5f1d9681cbb7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"每单胞两个 vdW 间隙中各插入一个 Li 离子——Li 位于 site-A（六个界面 Te 原子包围的八面体中心），此为最有利的插层位点。"}]},{"type":"paragraph","attrs":{"id":"d3387ea2-fe15-42a1-bd1f-9ef97dc81097","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"验证：site-A 比 site-B（等效 site-C）能量上更优 0.49 eV/Li——符合已有研究对金属离子在 FGaT 中插层位点的判断（Huang 等, Appl. Phys. Lett. 2022）。"}]},{"type":"paragraph","attrs":{"id":"8bb473fb-78e8-44a4-9680-8adcc0f3eafd","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层引起 ~3% 的 c 轴晶格膨胀：a = 4.13 Å, c = 16.64 Å——vdW 间隙从 2.94 Å 增至 3.14 Å（ 0.20 Å），单层厚度从 5.13 Å 增至 5.18 Å。"}]},{"type":"paragraph","attrs":{"id":"ee290f66-73d8-4cc0-8608-eb475c5c2a53","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"vdW 间隙膨胀是 c 轴参数增加的主要原因——与预期一致，Li 离子嵌入 vdW 间隙自然推开相邻 Te 层。"}]},{"type":"paragraph","attrs":{"id":"720f4955-dfb9-4b48-ae2a-26338a47c377","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.5 Li-FGaT 的结构稳定性验证"}]},{"type":"paragraph","attrs":{"id":"e6dbd6b4-c7c4-4136-83b7-1a41fa7fb489","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"声子谱计算：无虚频模式——Li-FGaT 晶格在动力学上稳定，无结构畸变或局部离子位移的趋势。"}]},{"type":"paragraph","attrs":{"id":"2f748484-ee87-4a49-879f-dfed96c4fbff","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层能：E_int = −1.69 eV——负值足够大，表明 Li 离子在八面体位点能量稳定，无聚集驱动力。"}]},{"type":"paragraph","attrs":{"id":"afec273d-ffbe-48f1-a691-803b631c18cf","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"AIMD 模拟（500 K, 5 ps）：体系能量和温度在稳定范围内波动——晶格框架保持完好，Li 离子留在最优插层位点。"}]},{"type":"paragraph","attrs":{"id":"03f7231e-cd67-42eb-a7cb-37a60f28fa24","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 周围保持 Te 八面体配位，FeII（或 Ga）周围保持 FeI 三棱柱配位——说明 Li-FGaT 在远超室温的温度下（500 K）维持结构完整性。"}]},{"type":"image","attrs":{"id":"8776d4c2-5f88-4417-a861-a7c2c3191f38","src":"https://developer.qcloudimg.com/http-save/audit-12559234/c9cc0ca4567fbee3c58e22dbedbf167b.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"cb52c060-b919-4bce-9d25-e3b1b321ab6f","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层能定义：E_int = E(Li-FGaT) − E(FGaT) − E(Li)——负值越大，Li 越稳定。"}]},{"type":"image","attrs":{"id":"87003c4a-d48d-45fb-9c99-fa9d1ccbcfa4","src":"https://developer.qcloudimg.com/http-save/audit-12559234/922411610741f074ed62dc9dc6ac58f3.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"60bd1372-5c19-4162-a0d0-c540178cf67f","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"电子密度差定义：Δρ_1D = ρ_1D(Li-FGaT) − ρ_1D(Li⁰-FGaT)——Li⁰-FGaT 指移除 Li 但保持原子位置不变的 FGaT 晶格。"}]},{"type":"image","attrs":{"id":"540fe949-b18e-49b8-9bfc-58caa484d035","src":"https://developer.qcloudimg.com/http-save/audit-12559234/6c3ecbbcb205901dcb5b1a753a77d4ac.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"efcc9094-d947-4d06-b80c-598cc0d07dc8","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 3：Li-FGaT 体相。(a) 元素分辨投影态密度（DOS）——Fermi 能级设为 0 eV；(b) 计算得到的五种交换参数（J₁-J₅）——水平轴在 −140 至 −90 处断开；(c) MC 模拟的 M-T 结果——粉色方块为 MC 结果，蓝色曲线为 Curie-Bloch 拟合（β=0.35）。"}]},{"type":"paragraph","attrs":{"id":"0691d8d2-7804-4aa5-a550-d0bf89dac886","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.6 Li-FGaT 的电子结构与磁矩"}]},{"type":"paragraph","attrs":{"id":"ba3e1981-4306-4e76-9ac8-e04f17b12bf6","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li-FGaT 呈 FM 金属性电子结构——Fermi 能级附近态密度主要由 Fe-3d 轨道贡献，Te-5p 轨道参与杂化。"}]},{"type":"paragraph","attrs":{"id":"c80323a3-2c04-4bee-b62d-efef09400fd3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"每单胞磁矩：14.91 μB——比原始 FGaT（13.44 μB）增加 1.47 μB，说明 Li 插层增强了体系的净磁化强度。"}]},{"type":"paragraph","attrs":{"id":"1ea3dadc-0ce6-4e0e-852e-7939c7f351a5","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"磁矩增加主要来自 FeII 位点的自旋翻转——部分电子从自旋向下通道转移到自旋向上通道（Stoner 型机制）。"}]},{"type":"paragraph","attrs":{"id":"74cd4535-ea04-4071-979b-ec7d2a4ddc3e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 本身非磁性——磁矩增加完全源于电子掺杂对 FGaT 电子结构的调控效应。"}]},{"type":"paragraph","attrs":{"id":"47a05d6e-604b-463f-a02d-0209c29954aa","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.7 Li-FGaT 的交换参数增强"}]},{"type":"paragraph","attrs":{"id":"23e65c07-ca2d-409d-9a3a-93eab98e049f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"与原始 FGaT 类似，Li-FGaT 的层内 FM 序由 J₃ 和 J₄ 决定，J₁ 和 J₂ 很小，层间为 FM 耦合（J₅ > 0）。"}]},{"type":"paragraph","attrs":{"id":"ce96f038-3e25-494f-90fb-da4bef37e5ca","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"关键发现：主导交换参数 J₃、J₄、J₅ 均显著增强——Li 插层使层内和层间 FM 耦合同时大幅增强。"}]},{"type":"paragraph","attrs":{"id":"24ab59a9-9e83-4c2d-820e-01aa2d944add","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"MCA 计算：Li-FGaT 保持 PMA——但 SIA 参数 A 减小至 −0.167 meV/Fe（原始 FGaT 为 −0.47 meV/Fe）。"}]},{"type":"paragraph","attrs":{"id":"fd988fca-65df-4758-b03a-7ffe3f31130e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"A 减小归因于插层诱导的巡游电子对面向电子轨道 PMA 贡献的抑制效应（Mo 等, J. Appl. Phys. 2024）——这是电子掺杂的副作用。"}]},{"type":"paragraph","attrs":{"id":"8b7b0766-2937-452e-8cfa-af30e57edba7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.8 Li-FGaT 的 T_C = 770 K"}]},{"type":"paragraph","attrs":{"id":"9d44704a-e52d-4535-acf1-ab5dd056df23","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"基于 DFT 计算参数进行 MC 模拟——Li-FGaT 体相的 T_C = 770 K，是原始 FGaT（365 K）的 2.1 倍。"}]},{"type":"paragraph","attrs":{"id":"7c2dac0a-45ca-4133-9231-6cd087d2e103","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Curie-Bloch 拟合：β = 0.35——与原始 FGaT（β = 0.32）略有不同，反映 Li 插层后自旋系统的维度特征变化。"}]},{"type":"paragraph","attrs":{"id":"828b0654-7c01-400f-9bb4-10d0d48b0cb2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"770 K 远超已有 vdW 磁体的 T_C 记录——Li-Fe₃GeTe₂（>300 K）和 Li-CrI₃（>400 K）均无法达到此水平。"}]},{"type":"paragraph","attrs":{"id":"6864088f-2799-459c-873e-69eb0f75fd76","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"这一预测为实验提供了明确的可测试目标——如果实验验证，770 K 将创造 vdW 磁体 T_C 的新纪录。"}]},{"type":"image","attrs":{"id":"7865828e-e31f-4da9-9fbd-32e234197812","src":"https://developer.qcloudimg.com/http-save/audit-12559234/f6c5b6103430378458aba438547d5f6f.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"c57e6783-ec86-4548-a206-22eb625aa420","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Curie-Bloch 拟合：M(T) = (1 − T/T_C)^β——β=0.32（FGaT）或 β=0.35（Li-FGaT）。"}]},{"type":"image","attrs":{"id":"6c70c140-bf1d-4b7c-8035-22f8eebbc10c","src":"https://developer.qcloudimg.com/http-save/audit-12559234/326501cd4fb29abebaf5e99eaca161b5.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"38fd6f9e-db67-4b5f-8188-851814c7fde4","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"MCA 能量定义：E_MCA = E[001] − E[100] = N_Fe·A——负值表示 PMA，N_Fe 为单胞中 Fe 位点数。"}]},{"type":"image","attrs":{"id":"61947726-94ad-4cec-ba31-5739f33bfdeb","src":"https://developer.qcloudimg.com/http-save/audit-12559234/86adb174de600e713b4b8d397395a035.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"f5ea6aa7-b5bc-4e08-abfc-225a76289d24","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 4：Li-FGaT 的电荷分布。(a) Li 插层诱导电子沿 c 轴的分布 Δρ_1D——电子主要局域在界面 Te 亚层之间的 vdW 间隙；(b) Bader 分析——每个 Li 原子捐赠 ~0.84 e 给 FGaT，其中 ~93% 被界面 Te 原子获取（~0.39 e/Te）；(c) 自旋极化的界面电子——每个 Te 贡献 0.13 μB；(d) (110) 面内插层诱导的电子密度变化——黄色/蓝色区域为电子增益/损失。"}]},{"type":"paragraph","attrs":{"id":"cb698339-f5a3-4ca0-be24-40e5566feece","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"3.9 电子掺杂增强磁性的微观机制"}]},{"type":"paragraph","attrs":{"id":"abc3d892-071b-47be-ac63-02a15f9bfade","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"电子掺杂分布：每个 Li 捐赠 ~0.84 e 给 FGaT——~93% 被界面 Te 原子获取（~0.39 e/Te），Fe 的电子占据数变化很小。"}]},{"type":"paragraph","attrs":{"id":"5641f486-7290-4fec-8ae9-3c8f0bd8695b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"自旋极化界面电子：Te 获取的掺杂电子受金属性电子结构自旋极化影响——每个 Te 贡献 0.13 μB，为层间自旋交换提供中介载流子。"}]},{"type":"paragraph","attrs":{"id":"305e0a2a-31a9-4da2-b8cb-004110ea716a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FeII 磁矩增加：尽管 Fe 的电子占据数变化很小，FeII 的磁矩显著增加——部分电子从自旋向下通道翻转到自旋向上通道。"}]},{"type":"paragraph","attrs":{"id":"88326509-86b7-41b3-a7f9-9608e633995e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"层内电子重新分布：Te 获得额外电子后，减少对周围 Fe 的电子抽取——Fe-Fe 直接交换和 Fe-Te-Fe 超交换通道均被增强。"}]},{"type":"image","attrs":{"id":"6c02686f-0c66-4ccd-b88d-3ab888ab14da","src":"https://developer.qcloudimg.com/http-save/audit-12559234/05ad760d6d5b6082c1fa25cd8350670d.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"561933b4-0e80-4432-a221-4bd8aec5b363","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 5：MC 模拟的 M-T 结果——FGaT 双层、Li₁-(FGaT)₂ 和 Li₁/₄-(FGaT)₂ 模型的对比。空心符号为 MC 结果，实线为 Curie-Bloch 拟合（β=0.32）。"}]},{"type":"paragraph","attrs":{"id":"3bd70942-33e6-47ef-820a-52852809e172","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【四、对比分析】"}]},{"type":"paragraph","attrs":{"id":"0c2f318c-119f-4b90-8952-5bddacd49e53","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"4.1 Li-FGaT vs 其他 Li 插层 vdW 磁体"}]},{"type":"paragraph","attrs":{"id":"d31041c2-66c4-46c0-8abc-b38199efd978","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li-Fe₃GeTe₂：T_C 从 ~100 K → >300 K（提升 ~3 倍）——起始 T_C 低，提升倍数大但绝对值有限（~300 K）。"}]},{"type":"paragraph","attrs":{"id":"37ce48e5-5e87-47f5-95e5-99a691767d25","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li-CrI₃：T_C 从 ~50 K → >400 K（提升 ~8 倍）——起始 T_C 极低，Li 插层效果最显著（倍数最大）。"}]},{"type":"paragraph","attrs":{"id":"634d21b5-8a46-4ee9-b1cf-af81d435e102","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li-Fe₃GaTe₂（本工作）：T_C 从 365 K → 770 K（提升 ~2.1 倍）——起始 T_C 最高，提升后绝对值最高（770 K），远超已有报道。"}]},{"type":"paragraph","attrs":{"id":"e9873f26-43ff-4856-9cac-8d93e2c710c8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"趋势：起始 T_C 越高，Li 插层提升的倍数越小但绝对值越大——电子掺杂在已有强 FM 体系中"叠加"效果更显著，暗示交换耦合强度存在上限。"}]},{"type":"paragraph","attrs":{"id":"65505b4d-84e0-4750-a5e3-5f7b52d7faa1","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"4.2 双层模型：Li 浓度效应"}]},{"type":"paragraph","attrs":{"id":"d891478b-f71a-411d-9d99-187db3b5ca52","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"构建三个双层模型：原始 FGaT 双层（T_C = 300 K，与实验一致）、Li₁-(FGaT)₂（每间隙一个 Li，T_C = 490 K）、Li₁/₄-(FGaT)₂（每四个间隙一个 Li，T_C = 395 K）。"}]},{"type":"paragraph","attrs":{"id":"ffc9cda2-a759-4416-9bc6-b9b5d3999cc5","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"高 Li 浓度（Li₁）对应更强的 T_C 增强——490 K vs 395 K——表明磁性增强程度与 Li 掺杂浓度正相关。"}]},{"type":"paragraph","attrs":{"id":"450c6074-2cda-4039-a4c3-9feecdab8644","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"即使低 Li 浓度（Li₁/₄），T_C 仍从 300 K 提升至 395 K——说明 Li 插层策略在低掺杂水平下依然有效。"}]},{"type":"paragraph","attrs":{"id":"5d3ec0e2-7d87-4980-9d8a-bec7ccbcebd9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"双层模型更接近实际器件构型——vdW 异质结器件通常基于少层而非体相材料，验证了该策略在低维极限下的有效性。"}]},{"type":"paragraph","attrs":{"id":"f371453b-4b14-448e-ba9a-ce60228b7eeb","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"4.3 Li 离子聚集 vs 分散排列"}]},{"type":"paragraph","attrs":{"id":"f1bc7f96-2205-4e41-9ab7-c2fb875941f7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"构造对比模型 ag-Li₁/₄-(FGaT)₂——Li 离子以聚集方式排列（与 Li₁/₄-(FGaT)₂ 的分散排列对比），浓度相同。"}]},{"type":"paragraph","attrs":{"id":"f740c276-d781-4c72-ae8e-e4b3c8df312d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"能量比较：ag-Li₁/₄ 能量比分散排列高 3.8 meV/Li——Li 离子倾向于分散排列，聚集在能量上不利，但可能以一定概率出现。"}]},{"type":"paragraph","attrs":{"id":"01d09508-ea15-4266-8870-916fc33b8a41","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"层间磁耦合能 E_imc：ag-Li₁/₄ 为 9.0 meV，分散 Li₁/₄ 为 11.2 meV，原始 FGaT 双层仅为 3.3 meV。"}]},{"type":"paragraph","attrs":{"id":"77ddd01d-b4a9-475e-b709-8d78f21a31b7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"关键结论：即使在能量不利的聚集构型下，Li 插层仍能有效增强层间 FM 耦合（E_imc 是原始的 2.7 倍）——磁性增强效果具有空间分布鲁棒性。"}]},{"type":"paragraph","attrs":{"id":"0a9fd700-fcc0-4ba0-af41-9492df253fcd","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"4.4 实验验证前景"}]},{"type":"paragraph","attrs":{"id":"cdf128dd-0492-4226-aa3c-c8d5d4abe6a6","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 离子插层实验已在 Fe₃GeTe₂ 和 CrI₃ 中成功实现——电化学插层法可在室温下将 Li⁺ 嵌入 vdW 间隙，浓度精确可控。"}]},{"type":"paragraph","attrs":{"id":"8014bc61-392b-4131-8f6c-4875bba177af","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"磁化测量（SQUID-VSM）可直接验证 T_C 提升——770 K 远超通常 SQUID 测量范围（~400 K），但可通过高温磁化率或高温霍尔效应间接验证。"}]},{"type":"paragraph","attrs":{"id":"37be8844-236f-49a5-b64a-244576ab1de9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"XRD 可确认 Li 插层后的 c 轴晶格膨胀（~3%）——层间距增大是 Li 成功嵌入的明确标志，是实验验证的第一步。"}]},{"type":"paragraph","attrs":{"id":"b01c16c6-7607-4148-b9e6-8f14a702e038","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"声子谱测量（拉曼/非弹性中子散射）可验证 Li-FGaT 的动力学稳定性——与 DFT 计算的声子谱对比，确认结构完整性。"}]},{"type":"paragraph","attrs":{"id":"bf93582f-d228-4356-92e4-6b8a78ebb534","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"4.5 器件应用潜力"}]},{"type":"paragraph","attrs":{"id":"0e4bfb0c-15e2-459f-907a-2e788b8184bb","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"770 K 的 T_C 意味着 Li-FGaT 可在极端高温环境下保持铁磁功能——适用于航空航天（>200°C）、汽车电子（~150°C）、深井勘探等高温场景。"}]},{"type":"paragraph","attrs":{"id":"8865ac67-05ec-49f6-8039-fb2037903257","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"vdW 材料天然适合异质结集成——Li-FGaT 可与石墨烯、hBN 等 2D 材料堆叠构建自旋阀和磁隧道结（MTJ）。"}]},{"type":"paragraph","attrs":{"id":"9dde5f79-ab51-48cb-a976-de294bc48267","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层可在器件制备后通过电化学方法实现——为后处理调控器件性能提供灵活手段，类似于离子液体栅控技术。"}]},{"type":"paragraph","attrs":{"id":"6df63604-a952-4be6-b9fb-923827d00b53","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"高 T_C 确保器件在宽温度范围内的稳定操作——这是 vdW 磁体从实验室走向实际应用的关键一步。"}]},{"type":"paragraph","attrs":{"id":"420144a4-cb62-42c9-9cbb-5e37fa14668d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【五、讨论】"}]},{"type":"paragraph","attrs":{"id":"d1f75acd-a9a9-4a4a-b8b7-1bd24d03f8a1","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"5.1 层间 FM 耦合增强：自旋极化界面电子"}]},{"type":"paragraph","attrs":{"id":"1fe0b4e0-d19b-4c89-8204-b784513038a2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 插层引入的掺杂电子主要局域在 vdW 间隙中的界面 Te 亚层之间——形成二维自旋极化电子气。"}]},{"type":"paragraph","attrs":{"id":"c78b4715-9d22-458a-a4aa-3cb605fc1db7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"这些自旋极化的界面电子充当层间中介载流子——类似于 RKKY 机制中传导电子介导的间接交换，增强了跨 vdW 间隙的 Fe-Fe 交换（J₅）。"}]},{"type":"paragraph","attrs":{"id":"7de0474c-f852-4843-86e1-6e1c47de967f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"界面 Te 获取 ~0.39 e/Te 并贡献 0.13 μB/Te——自旋极化程度约为 33%，足以有效介导层间 FM 耦合。"}]},{"type":"paragraph","attrs":{"id":"620d035b-9e7e-4712-9d6a-fbb24a00ffcd","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"这一机制解释了为何 Li 插层对层间 FM 耦合的增强效果显著——自旋极化界面电子直接桥接了上下两个 FGaT 单层的 Fe 自旋。"}]},{"type":"paragraph","attrs":{"id":"d9b16886-2464-41b5-a5c0-8a1a7c0ae792","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"5.2 层内自旋交换增强：Fe 3d 轨道占据优化"}]},{"type":"paragraph","attrs":{"id":"101dcc77-2399-4438-847e-e734ae4ab73e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FeII 磁矩的显著增加源于自旋翻转——部分电子从自旋向下通道转移到自旋向上通道（Stoner 型机制）。"}]},{"type":"paragraph","attrs":{"id":"d96533b9-5a92-4b67-ae19-deba71ba5342","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"自旋翻转的驱动力：Te 从 Li 获得额外电子后，减少了对周围 Fe 的电子抽取——Fe-Te 键合区域的电子密度降低（region-B2）。"}]},{"type":"paragraph","attrs":{"id":"4e9b20b5-ecb6-4870-af9e-dae01d6bffed","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"为维持电荷平衡，FeI-FeII 连接区域（region-Y1）获得电子——增加的电子占据发生在自旋向上通道，增强了自旋极化。"}]},{"type":"paragraph","attrs":{"id":"1c7d4a43-a8c6-42bd-849b-0f848fed56f2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FeI-FeII 连接区域的额外电子 FeII 增强的自旋极化——共同促进了 J₃ 的增强，优化了层内自旋交换通道。"}]},{"type":"paragraph","attrs":{"id":"cb1d080b-cddf-496d-899d-c3e16985d1c9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"5.3 电子重新分布的空间特征"}]},{"type":"paragraph","attrs":{"id":"939ea4fc-f389-4ed1-8759-600c3f19c1c7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Te 从 Li 获得额外电子后，由于 Te 价轨道的有限容量——某些外围区域（region-B1）的电子密度相应降低。"}]},{"type":"paragraph","attrs":{"id":"08c39413-9e06-4e01-ae5c-ecf68ef38ea3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FeI-FeI 配对（J₄）：插层导致 FeI 亚层外侧电子密度增加——为减少 Coulomb 排斥，FeI-FeI 间隙区域（region-B3）电子密度降低。"}]},{"type":"paragraph","attrs":{"id":"657ed879-27cb-4793-b74f-523f4c3bade1","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FeI-Ga 连接区域（region-Y2）电子密度增加——提供额外的间接交换通道，增强 J₄。"}]},{"type":"paragraph","attrs":{"id":"b9576356-ceb0-472c-8432-47799b957c7b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"这一分析视角——将交换参数增强与层内电子空间重新分布关联——为理解 vdW 磁体中磁耦合调控提供了新的视角。"}]},{"type":"paragraph","attrs":{"id":"b8b8e911-d1cc-4bbb-8b40-5b9c9c04b811","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"5.4 DFT U 方法的可靠性与局限"}]},{"type":"paragraph","attrs":{"id":"7018398c-b27d-4655-b663-6b865f31de46","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"U = 1.3 eV 的选择使原始 FGaT 体相 T_C（365 K）与实验值（350-380 K）吻合——验证了方法的可靠性。"}]},{"type":"paragraph","attrs":{"id":"99ed963d-81b0-45e4-ae62-dbbefceabf33","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"MC 模拟的 T_C 对交换参数 J_ij 敏感——J_ij 来自六种磁序的 DFT 总能差（Eqs. 2-7），精度受 U 值和 k 网格影响。"}]},{"type":"paragraph","attrs":{"id":"7c6c9762-4be1-400a-83c6-6619b408daad","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"声子谱无虚频 AIMD 500 K 稳定——Li-FGaT 是动力学和热力学稳定的，MC 模拟结果具有物理意义。"}]},{"type":"paragraph","attrs":{"id":"787826f3-72ec-4d61-bf16-600ac9c2a388","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"局限性：MC 模拟使用经典自旋近似，忽略了量子涨落——实际 T_C 可能略低于 770 K，但定性结论（Li 插层大幅提升 T_C）是稳健的。"}]},{"type":"paragraph","attrs":{"id":"1f281027-e828-4153-9e65-ea6cb9042b02","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"5.5 研究局限性"}]},{"type":"paragraph","attrs":{"id":"fd4f9c9b-2a51-4fbd-810b-9f24e1ea768f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"理想化模型：本文聚焦于理想化的 Li-FGaT 体相模型——每个 vdW 间隙恰好一个 Li 离子，实际实验中 Li 浓度和分布可能存在不均匀性。"}]},{"type":"paragraph","attrs":{"id":"13a0c50b-aefa-46a5-82c4-5110b4c2938d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"双层模型已部分弥补此局限——验证了不同 Li 浓度和空间分布下的磁性增强效果，但更复杂的浓度梯度效应尚未考虑。"}]},{"type":"paragraph","attrs":{"id":"46f72d43-98b6-4fec-8470-5737f264c3e3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"经典自旋近似：MC 模拟基于经典 Heisenberg 模型——忽略了量子涨落、自旋波激发和磁振子-电子耦合等量子效应。"}]},{"type":"paragraph","attrs":{"id":"92334929-a116-4578-9984-c5e2f0d11089","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常温稳定性：虽然 AIMD 验证了 500 K 的结构稳定性，但更长时间尺度的 Li 离子扩散和可能的相分离未考虑。"}]},{"type":"paragraph","attrs":{"id":"421c9fe7-aa82-413e-8b2f-78b407819114","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"5.6 未来研究方向"}]},{"type":"paragraph","attrs":{"id":"e0e326ba-618d-4688-b447-2358f92abf0f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"实验验证：通过电化学 Li 插层 高温磁化测量直接验证 770 K 的 T_C 预测——这是本工作提出的核心可测试目标。"}]},{"type":"paragraph","attrs":{"id":"bdffca1c-1802-44d7-bca9-c9a760462df3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 浓度系统优化：研究不同 Li 浓度（x）下 Li_xFe₃GaTe₂ 的 T_C——寻找最优掺杂浓度，平衡 T_C 提升和结构稳定性。"}]},{"type":"paragraph","attrs":{"id":"cf4aa1dd-23ee-445f-8304-a8081999a6ea","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"其他碱金属插层：Na、K、Rb 等碱金属离子——离子半径差异影响插层效率和晶格膨胀程度，可能产生不同的磁性增强效果。"}]},{"type":"paragraph","attrs":{"id":"20fa9941-40cd-44da-a397-65a8786355fa","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"多体量子效应：超越经典自旋近似，考虑磁振子-电子耦合和量子涨落——更精确预测 T_C 和自旋动力学行为。"}]},{"type":"paragraph","attrs":{"id":"fe4cee6d-2834-4bc0-a642-40fadd786a16","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【六、总结】"}]},{"type":"paragraph","attrs":{"id":"c5ab1086-ec74-4351-a028-53becc59330e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"6.1 核心结论"}]},{"type":"paragraph","attrs":{"id":"0ed2c08c-a2ca-48b1-b301-66ff42082d5e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"DFT MC 计算预测：Li 离子插层可将 Fe₃GaTe₂ 体相 T_C 从 365 K 提升至 770 K——超过两倍的增强，创造了 vdW 磁体 T_C 的预测新高。"}]},{"type":"paragraph","attrs":{"id":"0f71c64a-9c7a-4172-8eea-41cc7ef98e41","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"T_C 提升的双重机制：(1) 层间——自旋极化界面电子充当 RKKY 型中介载流子，增强跨 vdW 间隙的 FM 耦合（J₅）；(2) 层内——电子掺杂诱导 Fe 3d 轨道占据优化，增强层内自旋交换（J₃、J₄）。"}]},{"type":"paragraph","attrs":{"id":"1b44b050-f367-49d6-96c2-27b4b66d2ec1","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li-FGaT 结构稳定性：声子谱无虚频（动力学稳定），AIMD 500 K 验证（热力学稳定），Li 插层能 −1.69 eV（能量稳定）。"}]},{"type":"paragraph","attrs":{"id":"9399570d-4581-445e-a45e-4b8d5eba9745","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"双层模型验证：Li 插层对 FGaT 磁性的增强效果在厚度（体相→双层）、浓度（Li₁→Li₁/₄）和空间分布（分散→聚集）三个维度上具有普适性。"}]},{"type":"paragraph","attrs":{"id":"cb5cc63a-50d5-45d6-9f5c-699e7372d00d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"6.2 展望"}]},{"type":"paragraph","attrs":{"id":"a2bd2899-3731-43b5-8aa5-36404aaa2b5e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"实验验证：电化学 Li 插层 高温磁化测量——直接验证 T_C 预测，是本工作最直接的后续方向。"}]},{"type":"paragraph","attrs":{"id":"88a4e033-8ee2-4251-b2c3-affa659a8d11","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"材料扩展：将 Li 插层策略应用于其他高 T_C vdW 磁体（如 Fe₅GeTe₂、Fe₄GeTe₂）——探索更高 T_C 的可能性。"}]},{"type":"paragraph","attrs":{"id":"3a6cf08c-c26d-45e4-b62f-8c1cae1bba01","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"器件集成：构建 Li-FGaT 基自旋阀和 MTJ——验证高温下的自旋输运性能，推动 vdW 磁体器件化。"}]},{"type":"paragraph","attrs":{"id":"cd72293e-e8c6-4a28-8403-75f85612cf7e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"理论深化：超越经典自旋近似，引入量子涨落和自旋波激发效应的 MC 模拟——更精确预测 T_C 和理解自旋动力学。"}]},{"type":"paragraph","attrs":{"id":"c0ab103c-bdc7-4e95-a0d7-d379fb0ea9d4","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"6.3 本文贡献"}]},{"type":"paragraph","attrs":{"id":"f765bb10-32b0-4d7e-9424-4c6352916a0d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"首次提出 Li 插层 Fe₃GaTe₂ 的晶格模型——通过系统的 DFT 计算和 MC 模拟，预测 T_C 可达 770 K。"}]},{"type":"paragraph","attrs":{"id":"829bd6c4-d0fd-4275-84e7-cd2401b5d117","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"揭示了电子掺杂增强磁性的双重微观机制——层间自旋极化界面电子中介 层内 Fe 3d 轨道占据优化，为磁性调控提供了新的理论视角。"}]},{"type":"paragraph","attrs":{"id":"30921fb7-5f3b-4162-9fae-a9b22364d9da","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"通过双层模型验证了 Li 插层策略的普适性——在厚度、浓度和空间分布三个维度上均有效，增强了实验可行性。"}]},{"type":"paragraph","attrs":{"id":"c3fbf226-d0b4-44ee-906a-e9d1bb5a0441","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"为实验提供了明确的可测试目标——Li-FGaT 体系，T_C ~ 770 K，为高 T_C vdW 磁体的电子掺杂设计提供了理论框架。"}]},{"type":"paragraph","attrs":{"id":"64bb0b45-e0a7-45cf-859b-d956cd495dc2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【【DFT Tips】】"}]},{"type":"paragraph","attrs":{"id":"c3575501-8241-4d6a-9d02-377c23eb0fc1","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】DFT U 中 U 值的系统验证"}]},{"type":"paragraph","attrs":{"id":"048fd1a6-5161-4064-b1ef-fe41fd13f15b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Fe₃GaTe₂ 的 DFT U 计算中 U=1.3 eV 是关键参数——该值使原始 FGaT 的 T_C（365 K）与实验（350-380 K）吻合。"}]},{"type":"paragraph","attrs":{"id":"78f6d458-b29b-4727-98b6-c861a9d1e981","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：① 直接使用文献中其他 Fe 基材料的 U 值（如 Fe₃GeTe₂ 的 U=2.0 eV）→ T_C 严重偏离实验；② 未验证 U 值对磁矩和交换参数的敏感性。"}]},{"type":"paragraph","attrs":{"id":"c20b3980-e828-4590-bf20-109bf7eb3a5d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：U 值在 1.0-2.0 eV 范围内测试，比较磁矩、交换参数 J_ij 和最终 T_C 的变化——U=1.3 eV 是 FGaT 的最优值。"}]},{"type":"paragraph","attrs":{"id":"ea26b515-4f93-439d-8b4a-0ab019b35a5c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】能量映射方法的磁序选择"}]},{"type":"paragraph","attrs":{"id":"f78cdb31-7e55-425f-9b28-33f2fb211a0d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"能量映射法通过构建不同磁序的 DFT 总能差提取交换参数 J_ij——磁序的选择必须覆盖所有独立交换通道。"}]},{"type":"paragraph","attrs":{"id":"eba8eb37-8cda-4c0d-b772-360e3ba8f9bf","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：① 磁序数量不足 → 方程组欠定，J_ij 不唯一；② 磁序包含冗余组合 → 方程组病态，J_ij 误差大。"}]},{"type":"paragraph","attrs":{"id":"6cd97df2-f29b-4a1c-bdbd-d0b568fbb9c8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：n 个交换参数至少需要 n 个独立磁序；本文用 6 种磁序（MO-1 至 MO-6）提取 5 个 J_ij 1 个参考能量，是最优设计。"}]},{"type":"paragraph","attrs":{"id":"16475b58-bc49-4ec5-bd5f-613e8fbd000a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】vdW 磁性材料的 DFT-D3 修正"}]},{"type":"paragraph","attrs":{"id":"990355d7-ed78-4c6c-b92b-7424efec838f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Fe₃GaTe₂ 的层间耦合由 vdW 力主导——PBE 泛函无法描述 vdW 相互作用，层间距和层间交换 J₅ 都会被严重低估。"}]},{"type":"paragraph","attrs":{"id":"22348348-98ad-4da5-8f79-a67b715ae764","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：不加 DFT-D3 → 层间距过大 → 层间 FM 耦合 J₅ 被低估 → MC 模拟的 T_C 偏低。"}]},{"type":"paragraph","attrs":{"id":"b7b88dfe-00df-42a0-85ea-c48cb941d3f9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：IVDW=11（DFT-D3 BJ damping），这是 vdW 磁体计算的标配。对于 Li 插层体系，vdW 修正对插层能的计算也至关重要。"}]},{"type":"paragraph","attrs":{"id":"6b2976f1-57d4-4b37-936d-c0c5dd34c78e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】Li 插层位点的能量筛选"}]},{"type":"paragraph","attrs":{"id":"e3f33bba-e4a2-4db3-8bb0-2dd26d099a9b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Li 在 vdW 间隙中有多个候选位点（site-A、site-B、site-C）——必须通过 DFT 总能比较确定最优位点。"}]},{"type":"paragraph","attrs":{"id":"3f57f684-3c38-4e00-a530-fa0739fcc3dc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：仅凭几何直觉选择插层位点 → 可能选到亚稳态位点，插层能偏正 ~0.5 eV。"}]},{"type":"paragraph","attrs":{"id":"35be8ee5-1de2-4e4b-9f6c-29927c13166b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：在 2×2×1 超胞中测试所有高对称位点，计算插层能 E_int = E(Li-FGaT) − E(FGaT) − E(Li)——选择 E_int 最低的位点。"}]},{"type":"paragraph","attrs":{"id":"f2d97491-79a0-4747-9ece-52a3c718b1f2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】声子谱计算的超胞收敛"}]},{"type":"paragraph","attrs":{"id":"28aac8ba-0e8f-41b6-a2d7-645d3f01426c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"声子谱计算验证 Li-FGaT 的动力学稳定性——有限位移法需要足够大的超胞以避免周期性镜像的虚假相互作用。"}]},{"type":"paragraph","attrs":{"id":"be6aa1c1-2044-4cd5-9891-51ee90970824","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：使用 1×1×1 单胞计算声子谱 → 某些声子模式在 Γ 点以外出现虚频，实际可能是超胞不够大导致的伪影。"}]},{"type":"paragraph","attrs":{"id":"92fc3bad-6596-40c6-aff0-eb660a4645af","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：使用至少 2×2×1 超胞（~120 原子），验证虚频是否随超胞增大而消失——若虚频在 Γ 点，则可能是真实的不稳定性。"}]},{"type":"paragraph","attrs":{"id":"85661558-099c-4a45-80c5-93d90ff62bde","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】Monte Carlo 模拟的收敛性判断"}]},{"type":"paragraph","attrs":{"id":"b9a2b882-46ac-42b6-9c2c-123da0a3c072","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"MC 模拟的 T_C 对热平衡步数和采样步数敏感——不足的 MC 步数会导致 T_C 偏高或偏低。"}]},{"type":"paragraph","attrs":{"id":"8202ed2c-f63a-4ebf-a6d8-cb8f6f0be0af","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：① 热平衡步数不足 → 初始磁构型的记忆效应，T_C 偏高；② 临近 T_C 时磁化涨落大 → 采样不足导致拟合误差。"}]},{"type":"paragraph","attrs":{"id":"0a53627b-552b-41ed-916b-d1daa4424072","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：T_C 附近的温度点加倍采样步数（2×），验证 M-T 曲线在两次独立 MC 运行中的可重复性。"}]},{"type":"paragraph","attrs":{"id":"8b10b773-bb7e-4906-830e-276835c3764b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】SOC 对磁晶各向异性的影响"}]},{"type":"paragraph","attrs":{"id":"4d54ec30-3095-486d-8aa3-cd66ded7989a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Fe₃GaTe₂ 的垂直磁各向异性（PMA）完全由 SOC 决定——MCA 计算必须开启 SOC 并比较不同磁化方向的能量。"}]},{"type":"paragraph","attrs":{"id":"65c6f1a8-228d-4494-8afb-92374d3c480b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：不加 SOC 计算 MCA → 能量差为零，无法确定易轴方向；SOC 计算后未检查磁矩是否收敛到预期方向。"}]},{"type":"paragraph","attrs":{"id":"00cdb5cc-4738-46bf-84e4-dbad1fcd6ec2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：LSORBIT=.TRUE.，SAXIS 分别沿 [001] 和 [100]，比较总能量——负值 E_MCA 表示 PMA，正值表示面内易磁化。"}]},{"type":"paragraph","attrs":{"id":"5d045bef-6082-480d-a8ff-100f9c3b58b0","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】电子掺杂效应的 Bader 分析"}]},{"type":"paragraph","attrs":{"id":"2fb9aa01-bbca-43c0-bf0f-0f77e8eda941","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Bader 电荷分析是量化 Li→FGaT 电子转移的关键工具——每个 Li 捐赠 ~0.84 e 给 FGaT。"}]},{"type":"paragraph","attrs":{"id":"d47ceb06-3540-4c62-a4ce-7f18d5a43d16","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：① 使用默认 FFT 网格 → Bader 电荷误差 ±0.1 e；② 将 Li 视为中性原子而非 Li⁺ → 电荷分析逻辑错误。"}]},{"type":"paragraph","attrs":{"id":"33f022c3-3111-4311-8f41-d9b445afe0e3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：使用 LAECHG=.TRUE. 生成 AECCAR0/1/2，NGXF×2 增加 FFT 精度；Bader 分析在自旋极化框架下进行。"}]},{"type":"paragraph","attrs":{"id":"6aa2ae16-d16e-40e3-a5f4-199707cd0449","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】AIMD 模拟的恒温器选择"}]},{"type":"paragraph","attrs":{"id":"3c2a7c5d-c5c8-43c2-abb6-0252d7ba6f42","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"AIMD 验证 Li-FGaT 在 500 K 的热力学稳定性——Nosé-Hoover 恒温器是 NVT 系综的标准选择。"}]},{"type":"paragraph","attrs":{"id":"0512cb4c-b0d1-465a-bcc9-fc646b15ebbc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：① 时间步长过大（>2 fs）→ 轻元素（Li）的动力学失真；② 模拟时间过短（<2 ps）→ 未达到热平衡。"}]},{"type":"paragraph","attrs":{"id":"5949c2c5-2774-439c-9dfb-e6320687709a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：时间步长 1 fs，模拟至少 5 ps——前 2 ps 为平衡阶段，后 3 ps 为统计采样阶段。"}]},{"type":"paragraph","attrs":{"id":"0f3cc85f-f6bb-40a1-af4c-fa2339d4a516","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【DFT Tip】层间磁耦合能 E_imc 的提取"}]},{"type":"paragraph","attrs":{"id":"bb09ddc0-0a91-4b26-b531-9a6e94268187","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"E_imc = (E_AFM − E_FM)/u 量化层间 FM 耦合强度——Li 插层后 E_imc 从 3.3 meV 增至 11.2 meV。"}]},{"type":"paragraph","attrs":{"id":"1bd42e50-2f3c-481e-a6c9-a133f6af4d95","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"常见错误：① 超胞中面内单胞数 u 计算错误 → E_imc 偏差因子为 2；② AFM 构型选择不当 → 层间 AFM 耦合被低估。"}]},{"type":"paragraph","attrs":{"id":"69fe065e-7d15-42f3-b803-165e2348a432","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"建议：AFM 构型应为相邻层反平行，FM 构型为所有层平行——两个构型在其他方面（层内磁序、原子位置）完全一致。"}]},{"type":"paragraph","attrs":{"id":"b9628b8e-81b1-4bc0-82ea-5efad90620e9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","text":"原始 FGaT 模型P6₃/mmc, 2 f.u./cellLi 插层位点筛选site-A/B/C 能量比较Li-FGaT 晶格弛豫c 轴膨胀 ~3%↓声子谱验证无虚频 → 动力学稳定AIMD 验证 (500 K)5 ps → 热力学稳定插层能E_int = −1.69 eV↓6 种磁序 DFTMO-1 至 MO-6能量映射J₁-J₅ 线性方程组MCA 计算 (SOC)SIA 参数 A↓Monte Carlo 模拟 → M-T 曲线 → Curie-Bloch 拟合 → T_C = 770 KFGaT: T_C=365 K (实验: 350-380 K) → Li-FGaT: T_C=770 K (2.1× 增强)↓层间增强：自旋极化界面电子Te 获取 ~0.39 e → 0.13 μB/Te层内增强：Fe 3d 轨道占据优化自旋翻转 → FeII 磁矩增加↓Li-FGaT：T_C = 770 K — vdW 磁体 T_C 新纪录预测实验验证：电化学 Li 插层 高温磁化测量 | 材料扩展：Na/K/Rb 插层结构构建 → 稳定性验证 → 交换参数提取 → MC 模拟 → 机制分析 → 实验预测"}]},{"type":"paragraph","attrs":{"id":"965a60b4-c55e-4872-937d-f159ddcfddd9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【【知识扩展】】"}]},{"type":"paragraph","attrs":{"id":"8d2933cf-406f-40f2-b906-0f05c9ec9acd","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"知识扩展①：能量映射方法与 Heisenberg 模型"}]},{"type":"paragraph","attrs":{"id":"4fc10fd3-4481-4efd-80ec-360cdf0dfeff","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【理论解释】能量映射法（Energy Mapping）将 DFT 总能映射到经典 Heisenberg 自旋哈密顿量 H = Σ J_ij S_i·S_j——通过构建不同磁序并计算 DFT 总能差，建立线性方程组求解交换参数 J_ij。这是连接第一性原理和自旋模型的标准方法。"}]},{"type":"paragraph","attrs":{"id":"67c68793-6d51-4754-a106-6caf4953658f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【方法比较】交换参数提取方法：① 能量映射（最常用，适合共线磁序）；② 磁力定理（Lichtenstein 公式，适合非共线/海森堡体系）；③ 自旋波色散拟合（实验或 DFT 计算 magnon 谱）。能量映射法简单、稳健，但要求磁序为共线或接近共线。"}]},{"type":"paragraph","attrs":{"id":"5ff7c4d2-fb38-4552-8601-4c9c83195cdd","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【经典参考】经典论文：Xiang et al., Dalton Trans. 42, 823 (2013) — 能量映射法在 2D 磁体中的系统应用；Lichtenstein et al., JMMM 67, 65 (1987) — 磁力定理的原始推导。MC 工具：MCsolver (Liu et al., JPCL 2020), VAMPIRE, UppASD。"}]},{"type":"paragraph","attrs":{"id":"5a095378-6103-41cf-8555-3284509df34d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【迁移能力】能量映射法适用于任何可构建多种磁序的体系：vdW 磁体（CrI₃、Fe₃GeTe₂）、氧化物磁体、金属间化合物。关键限制：磁矩必须局域化，巡游磁体（如 Fe、Co）不适合。"}]},{"type":"paragraph","attrs":{"id":"1a07cfd6-5343-4f58-b72f-b8e0a37709fc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"知识扩展②：RKKY 机制与层间磁耦合"}]},{"type":"paragraph","attrs":{"id":"d471bcdd-400c-45c8-8b8e-553be54b32d7","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【理论解释】Ruderman-Kittel-Kasuya-Yosida (RKKY) 机制描述局域磁矩通过传导电子的自旋极化间接交换——交换强度 J(R) ∝ cos(2k_F R)/R³ 振荡衰减。在 vdW 磁体中，层间 FM/AFM 耦合常由跨 vdW 间隙的 RKKY 型间接交换主导。"}]},{"type":"paragraph","attrs":{"id":"8132a17f-97a6-4f13-b1b0-00be847bf6a9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【方法比较】层间耦合的调控策略：① 电子掺杂（Li/Na 插层）→ 增加传导电子浓度 → 增强 RKKY 耦合；② 层间距调控（压力/应变）→ 改变 RKKY 振荡相位 → 可能翻转 FM/AFM；③ 插层磁性离子 → 直接交换替代间接交换。"}]},{"type":"paragraph","attrs":{"id":"df66fb65-1d95-4f35-9339-e83597c01d86","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【经典参考】经典论文：Ruderman & Kittel, PR 96, 99 (1954) — RKKY 原始理论；Kasuya, PTP 16, 45 (1956)；Yosida, PR 106, 893 (1957)。vdW 磁体中的 RKKY：Wang et al., PRB 104, 064430 (2021) — CrI₃ 层间耦合的 RKKY 解释。"}]},{"type":"paragraph","attrs":{"id":"1cfdbec0-7dd4-42be-8932-ff3c9c92aa6b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【迁移能力】RKKY 分析适用于所有金属性层状磁体：Fe₃GeTe₂、Fe₃GaTe₂、Fe₅GeTe₂ 等。关键：需有可极化的传导电子（金属性），且费米波矢 k_F 与层间距匹配。半导体/绝缘体（如 CrI₃）的层间耦合更适用超交换机制。"}]},{"type":"paragraph","attrs":{"id":"d7bc851e-61d3-44f1-a217-d819b081e692","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【【科研经验】】"}]},{"type":"paragraph","attrs":{"id":"d4939d66-491a-47e4-9d18-c699abd928c3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"科研经验①：为什么 MC 模拟的 T_C 与实验不符？"}]},{"type":"paragraph","attrs":{"id":"70de7cdf-cff9-478d-b23f-113e35fe6980","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【问题】MC 模拟的 T_C 系统性地高于实验值（如 FGaT 预测 365 K vs 实验 350-380 K 吻合，但其他体系可能偏差 50-100 K）。"}]},{"type":"paragraph","attrs":{"id":"540157ce-c7c3-43b3-a895-dae1172d25bb","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【原因】① 经典自旋近似忽略了量子涨落——量子涨落在低维体系中降低 T_C 约 10-20%；② 交换参数 J_ij 来自 DFT 总能差，DFT 泛函误差（~5-10 meV）可导致 T_C 偏差 ~50 K；③ 有限尺寸效应——MC 超胞不够大，T_C 偏高。"}]},{"type":"paragraph","attrs":{"id":"7a5c0ba8-b319-4194-b6f2-904682159a0d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【解决方案】① 使用量子 MC 或自旋波修正因子（~0.7-0.8）校正经典 T_C；② 比较不同泛函（PBE、PBE U、SCAN）的 J_ij 差异；③ 逐步增大 MC 超胞（20×20×10 → 60×60×20），确认 T_C 收敛。"}]},{"type":"paragraph","attrs":{"id":"17d85414-7029-4cba-9467-8991511d1a27","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【建议】DFT MC 的 T_C 预测应视为半定量——定性趋势（Li 插层增强 T_C）是稳健的，但绝对 T_C 值（770 K）有 ±50-100 K 的不确定性。"}]},{"type":"paragraph","attrs":{"id":"6890d7cc-62cc-44a3-b383-88e69c1e7008","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"科研经验②：为什么插层能 E_int 为负但实验难以实现？"}]},{"type":"paragraph","attrs":{"id":"8f5cb6c7-c0a1-4f72-aeeb-ab877cccc25d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【问题】DFT 计算显示 Li 插层能 E_int = −1.69 eV（强放热），但实验上电化学 Li 插层可能不完全或需要特定条件。"}]},{"type":"paragraph","attrs":{"id":"5dc3d63e-d97b-4af4-8286-0265d48666f9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【原因】① DFT 计算的是 0 K 静态总能，未考虑插层动力学（Li 扩散势垒）；② 电化学插层涉及溶剂化效应和界面反应，DFT 未包含；③ 高 Li 浓度下 Li-Li 排斥可能导致相分离。"}]},{"type":"paragraph","attrs":{"id":"a8060d81-b739-41ca-9c4c-6a274f4bb001","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【解决方案】① 使用 NEB（Nudged Elastic Band）计算 Li 扩散势垒——评估插层动力学可行性；② 构建不同 Li 浓度的凸包图（Convex Hull）——判断热力学稳定浓度范围；③ 考虑溶剂化效应（隐式溶剂模型 VASPsol）。"}]},{"type":"paragraph","attrs":{"id":"a8eea59c-c12f-47ac-b76d-73b1d7b3f9a8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【建议】DFT 插层能是必要非充分条件——负值表明热力学允许，但实验实现需结合电化学知识。双层低浓度模型（Li₁/₄）更接近实际实验条件。"}]},{"type":"paragraph","attrs":{"id":"22ae0dfb-ad87-4848-a700-828ad1d3e5bd","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"3a482f5f-203b-4be2-a1a0-8dc8d235cd08","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"进一步计算①：Li 扩散势垒的 NEB 计算"}]},{"type":"paragraph","attrs":{"id":"d55e33be-f67b-4175-95f7-e34f9f577149","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【为什么值得算】插层能 E_int 只说明热力学可行性，NEB 计算 Li 在 vdW 间隙中的扩散势垒——评估插层动力学可行性。"}]},{"type":"paragraph","attrs":{"id":"38f29d59-b79b-466d-979a-fc65b2872544","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【能回答的问题】Li 在 FGaT 层间的扩散势垒是多少？是否存在快速扩散通道？Li 倾向于聚集还是分散？"}]},{"type":"paragraph","attrs":{"id":"752ed5c9-f5af-4618-904d-7a66bd14eee6","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【适合体系】所有插层/离子电池材料。"}]},{"type":"paragraph","attrs":{"id":"7d7c7c03-4e04-47f6-9b8d-10934e2530a5","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【输入】VASP NEB 计算（初始态和末态结构），3-5 个中间镜像。"}]},{"type":"paragraph","attrs":{"id":"a231e681-970a-43ca-a803-8657100f1f63","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"9a4f2eb2-dd8d-41d2-a1d6-082562d9c675","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"进一步计算②：不同碱金属插层的比较（Na, K, Rb）"}]},{"type":"paragraph","attrs":{"id":"7d0694a2-1d14-49ed-bb29-ac4470208b88","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【为什么值得算】Li 是最小碱金属，Na/K/Rb 离子半径更大——插层效率和磁性增强效果可能不同，甚至有质的差异。"}]},{"type":"paragraph","attrs":{"id":"9c949110-ee11-4fad-9f98-b59b90cb6c4b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【能回答的问题】Na/K/Rb 插层的 T_C 是否高于 Li？离子半径与 T_C 增强的关系？哪种碱金属是最优选择？"}]},{"type":"paragraph","attrs":{"id":"8347709d-0990-4267-84dc-68f02a28d31f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【适合体系】所有 vdW 层状材料。"}]},{"type":"paragraph","attrs":{"id":"8a16fea8-8b93-4027-9568-fab02be9f00c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【输入】Na/K/Rb 插层 FGaT 的 DFT 计算 MC 模拟（与 Li 类似流程）。"}]},{"type":"paragraph","attrs":{"id":"ea0bad5a-96e4-48fd-be6d-58d6a346ad95","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【"}]},{"type":"paragraph","attrs":{"id":"566c3833-c9cf-4ac7-bb89-6f7652fc4b3d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"进一步计算③：自旋波谱与磁振子能隙"}]},{"type":"paragraph","attrs":{"id":"26a0ed48-2362-45c3-a38b-c696847d469c","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【为什么值得算】自旋波谱（magnon dispersion）揭示低能磁激发——磁振子能隙决定自旋波对 T_C 的量子修正，也是非弹性中子散射的直接可观测量。"}]},{"type":"paragraph","attrs":{"id":"c5229506-6bd3-49dc-831d-d19a26148e97","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【能回答的问题】FGaT 和 Li-FGaT 的磁振子能隙分别是多少？自旋波刚度如何变化？量子涨落对 T_C 的修正比例？"}]},{"type":"paragraph","attrs":{"id":"db70186c-e03f-42f2-91fe-ab740a2cd823","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【适合体系】所有有序磁体。"}]},{"type":"paragraph","attrs":{"id":"3c425acb-4d5e-49d0-b32b-247a2a976dd4","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【输入】DFT 交换参数 J_ij 自旋波计算（SpinW 或 McPhase）。"}]},{"type":"paragraph","attrs":{"id":"274d3895-3125-4bd7-91a3-8ed23ed7c053","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"ca6d77b7-db92-4098-96a9-91d6c104ddfe","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"进一步计算④：Li 浓度依赖的 T_C 相图"}]},{"type":"paragraph","attrs":{"id":"ff2c4da4-690e-44ad-81dc-d6e6d5a319ce","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【为什么值得算】本文仅计算了 Li₁ 和 Li₁/₄ 两个浓度——系统构建 Li_xFGaT 的 T_C(x) 相图，寻找最优掺杂浓度。"}]},{"type":"paragraph","attrs":{"id":"aab44f1e-e47d-466f-9990-cfd7f644676e","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【能回答的问题】T_C 随 Li 浓度如何变化？是否存在最优浓度（T_C 峰值）？过掺杂是否导致 T_C 下降？"}]},{"type":"paragraph","attrs":{"id":"fc977403-30bb-4445-989c-5350af45e16b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【适合体系】所有掺杂/插层调控的磁性体系。"}]},{"type":"paragraph","attrs":{"id":"a8737077-3f50-44d0-916b-22288fd33f51","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【输入】不同 Li 浓度（x=0, 0.25, 0.5, 0.75, 1.0）的 DFT MC 模拟。"}]},{"type":"paragraph","attrs":{"id":"cb247c79-e720-4b02-8d12-c25888728423","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"5ccc8e59-6956-457a-8f43-583836369967","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"进一步计算⑤：电子结构中的拓扑特征"}]},{"type":"paragraph","attrs":{"id":"8916e6f0-76f4-4717-83b4-413c49586446","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【为什么值得算】Fe₃GaTe₂ 是金属性铁磁体，其能带可能具有非平庸拓扑（如外尔点、节线）——拓扑与磁性的共存是当前热点。"}]},{"type":"paragraph","attrs":{"id":"31b525c1-45d3-4a9b-a7a2-7a0b1f8e6ed2","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【能回答的问题】FGaT 和 Li-FGaT 中是否存在外尔点？Li 插层是否改变拓扑特征？反常霍尔电导（AHC）的大小？"}]},{"type":"paragraph","attrs":{"id":"ad9556ae-9ef6-438d-83ef-9e1191a08b46","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【适合体系】所有金属性铁磁体。"}]},{"type":"paragraph","attrs":{"id":"7a292ced-a012-4b76-ad1f-fbaeb2b52fe4","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【输入】DFT 能带结构 Wannier90 拟合 Berry 曲率计算。"}]},{"type":"paragraph","attrs":{"id":"fde99eb3-8991-4928-a4aa-1c51be5f3a40","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"9e330db6-8eed-48d3-85d7-6faea0e9b9a9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"进一步计算⑥：单层/少层 Li-FGaT 的磁性"}]},{"type":"paragraph","attrs":{"id":"6911535d-3d3f-4c79-8fc2-876c9be3ef85","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【为什么值得算】器件应用通常基于少层而非体相材料——验证 Li 插层策略在单层和双层 FGaT 中的有效性。"}]},{"type":"paragraph","attrs":{"id":"7a073a55-383a-422a-b5a2-88807d7009a8","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【能回答的问题】单层 Li-FGaT 的 T_C 是多少？少层体系的 T_C 是否仍远超室温？维度降低对 Li 插层效应的影响？"}]},{"type":"paragraph","attrs":{"id":"df85acad-aaba-446a-9056-4cc16c60d926","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【适合体系】所有 vdW 磁体的少层体系。"}]},{"type":"paragraph","attrs":{"id":"8ba4ee39-b7c3-4f4d-aa24-805e6e0b6e5f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【输入】单层/双层 Li-FGaT 的 DFT 计算（板模型 真空层） MC 模拟。"}]},{"type":"paragraph","attrs":{"id":"32f5056a-1382-4c57-aa57-1f6bfb0af357","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"28de9d48-6f60-46b7-b642-c030a33b1dcf","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【支撑信息 (Supporting Information)】"}]},{"type":"paragraph","attrs":{"id":"879f1df7-08b6-4232-9a56-d697dde01b56","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【S1 · 额外磁序的示意图】"}]},{"type":"paragraph","attrs":{"id":"917b8e75-2b18-449e-98c7-ef2185a3478b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"S1.1 MO-7、MO-8 和 MO-9 磁序"}]},{"type":"paragraph","attrs":{"id":"c3d82621-b177-46e7-a405-a7ea38503b3b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"展示三种额外磁序（MO-7、MO-8 和 MO-9）的示意图——用于验证仅用 J₅ 描述层间 FM 耦合的充分性。"}]},{"type":"paragraph","attrs":{"id":"56f4d663-4b7e-4713-b8d3-5b6b437da4e0","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"正文中仅使用了六种磁序（MO-1 至 MO-6）提取交换参数——引入额外磁序是为了检验额外层间交换参数（J₆、J₇）的必要性。"}]},{"type":"paragraph","attrs":{"id":"018e480d-90d4-46b1-9b37-59521e9c39ab","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"磁序选择的理由：MO-1 至 MO-6 覆盖了五种交换参数的所有独立线性组合——确保方程组（Eqs. 2-7）可解。"}]},{"type":"paragraph","attrs":{"id":"0c914258-3de7-4a7c-a470-2ab5e5f2515f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"额外磁序 MO-7/8/9 的层间自旋排列与 MO-1 至 MO-6 不同——用于检验 J₅ 是否足以描述所有层间耦合模式。"}]},{"type":"image","attrs":{"id":"1a27b66c-eae1-45f2-b67a-f500f406ce44","src":"https://developer.qcloudimg.com/http-save/audit-12559234/fe2b71468c7281ea64ab9f4931c6980b.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"65f04728-e111-4e45-9613-db93a4698b32","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 S1：三种额外磁序（MO-7、MO-8 和 MO-9）的示意图——用于验证交换参数提取方案的充分性。"}]},{"type":"paragraph","attrs":{"id":"f47550d7-5ec0-4fe1-9881-ec6ccacf211d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【S2 · 两组交换参数的 M-T 曲线比较】"}]},{"type":"paragraph","attrs":{"id":"bf329282-d5dd-4112-9f4a-f4c62d1fcc2b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"S2.1 交换参数提取方案的验证"}]},{"type":"paragraph","attrs":{"id":"950a5964-5b99-4fe9-8587-010d7e1fc63a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"比较使用两组交换参数获得的 MC 模拟 M-T 曲线——第一组仅包含 J₁-J₅，第二组额外包含 J₆ 和 J₇。"}]},{"type":"paragraph","attrs":{"id":"20fb474b-9d5d-4169-a8f0-0430c434ad7f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"两条 M-T 曲线几乎完全重合——T_C 差异在统计误差范围内，说明额外层间交换参数对 T_C 的影响可忽略。"}]},{"type":"paragraph","attrs":{"id":"c5583db4-270f-47c4-b1b5-f399097e7d0d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"该结果确认：仅用 J₅ 描述层间 FM 耦合是充分的——简化了交换参数提取方案，只需六种磁序即可准确描述。"}]},{"type":"paragraph","attrs":{"id":"a9166bee-0e62-46f1-b907-164de1ecd385","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"这一验证为后续 Li-FGaT 的交换参数计算提供了方法学基础——无需引入额外磁序，节省计算资源。"}]},{"type":"image","attrs":{"id":"32092e5c-4268-4367-841f-745e8c4db6b5","src":"https://developer.qcloudimg.com/http-save/audit-12559234/983de97e5cfc659ea88cf135cd6700b2.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"f3095b24-26b2-44b7-afa5-a918480989a3","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 S2：使用两组交换参数获得的 MC 模拟 M-T 曲线比较——验证仅用 J₅ 描述层间 FM 耦合的充分性。"}]},{"type":"paragraph","attrs":{"id":"ac64dd79-afcd-4421-a4e1-e502d84c527f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【S3 · Li₁/₄-(FGaT)₂ 双层模型结构】"}]},{"type":"paragraph","attrs":{"id":"49563460-2eed-4692-9db8-747f5f0e0aca","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"S3.1 低 Li 浓度双层模型"}]},{"type":"paragraph","attrs":{"id":"7b9a9803-5314-44eb-9a57-60d3e1d4589a","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"展示 Li₁/₄-(FGaT)₂ 模型的侧视图和俯视图——为清晰显示 Li 离子，上层 FGaT 单层被部分移除。"}]},{"type":"paragraph","attrs":{"id":"a6bce61f-98b5-413d-82f2-7a961854afcc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"该模型每四个 vdW 间隙中插入一个 Li 离子——代表较低的 Li 插层浓度（x = 0.25），更接近实验上可能实现的掺杂水平。"}]},{"type":"paragraph","attrs":{"id":"51965b05-6396-45c6-918a-c0e57c1265c6","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"FGaT 双层模型包含真空层——模拟 vdW 异质结中少层 FGaT 的实际环境，上下表面无悬挂键。"}]},{"type":"paragraph","attrs":{"id":"66da6b55-33a1-4c80-9153-8d52e5fd0def","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"与 Li₁-(FGaT)₂（每间隙一个 Li，x = 1.0）和原始 FGaT 双层（x = 0）对比——正文 Fig. 5 展示了三种模型的 M-T 曲线。"}]},{"type":"image","attrs":{"id":"235d6790-7ce1-4cb4-b3a9-f6944d60ec1e","src":"https://developer.qcloudimg.com/http-save/audit-12559234/ad023c53bf1d66398cc9d103f3021681.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"d6c2801c-0b9f-4db6-9847-de6ff6fbd43b","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 S3：Li₁/₄-(FGaT)₂ 模型的侧视图和俯视图——为清晰显示 Li 离子，上层 FGaT 单层被部分移除。"}]},{"type":"paragraph","attrs":{"id":"1b2fd946-123a-4df6-a4bf-1c12f7825c33","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【S4 · ag-Li₁/₄-(FGaT)₂ 聚集模型结构】"}]},{"type":"paragraph","attrs":{"id":"8cfe69dc-be75-4a76-95c0-d61fcefc1554","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"S4.1 Li 离子聚集排列的双层模型"}]},{"type":"paragraph","attrs":{"id":"d30aca7d-bd7a-4406-9221-049ff68998f3","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"展示 ag-Li₁/₄-(FGaT)₂ 模型的侧视图和俯视图——Li 离子以聚集（aggregated）方式排列，附有 Li 离子周围局部配位环境的放大视图。"}]},{"type":"paragraph","attrs":{"id":"641be439-732a-4037-a422-13549f29ab1b","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"与 S3 中 Li 离子均匀分散排列模型对比——评估 Li 离子排列方式对磁性的影响。"}]},{"type":"paragraph","attrs":{"id":"1145fdf6-716e-4e32-ab5f-bbd9cdea1486","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"能量上分散排列更优（低 3.8 meV/Li）——但聚集排列可能以一定概率出现，尤其在非平衡插层条件下。"}]},{"type":"paragraph","attrs":{"id":"b80e7500-ce87-41c9-8beb-86cff3c0a3e5","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"层间磁耦合能 E_imc：聚集 9.0 meV > 原始 3.3 meV——即使聚集构型，Li 插层仍显著增强 FM 耦合。"}]},{"type":"image","attrs":{"id":"023b6ea7-9c37-4a4e-ac22-f385d788fb7d","src":"https://developer.qcloudimg.com/http-save/audit-12559234/db5150be3ac264fde8093cfdb10b8bfe.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"31129c7d-489f-4e83-9728-95bc7cf665ec","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"图 S4：ag-Li₁/₄-(FGaT)₂ 模型的侧视图和俯视图——附有 Li 离子周围局部配位环境的放大视图。"}]},{"type":"image","attrs":{"id":"e2317c65-cb8c-43ee-b55e-581bb7fe3acf","src":"https://developer.qcloudimg.com/http-save/audit-12559234/50159437b21b750c115ef22c0eedd59d.webp","extension":"","align":"center","alt":"","showAlt":false,"href":"","boxShadow":"","width":"","aspectRatio":0,"status":"success","showText":true,"isPercentage":false,"percentage":0,"isHoverDragHandle":false}},{"type":"paragraph","attrs":{"id":"962f01ca-dffb-4b90-b36f-70ccfad3293f","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"层间磁耦合能定义：E_imc = (E_AFM − E_FM)/u——u 为超胞中面向单胞数，正值越大表示层间 FM 耦合越强。"}]},{"type":"paragraph","attrs":{"id":"64e921ab-7c0d-486c-afd7-166e673e75bc","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"【主要参考文献】"}]},{"type":"paragraph","attrs":{"id":"31f912ae-adbe-4b67-9f86-e08efa616100","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"核心引用"}]},{"type":"paragraph","attrs":{"id":"b865302c-134c-434b-89ea-bc59fc2a8993","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[1] Song Z, Mo Y, Zeng R, Liu L, Jiang X, Huang X, Liu J-M. J. Appl. Phys. 140, 014302 (2026) — 本工作。"}]},{"type":"paragraph","attrs":{"id":"3c13c271-e962-4958-b3ea-7c1a9fbcc73d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[2] Deng Y, et al. Nature 563, 94 (2018) — Li 插层 Fe₃GeTe₂ 提升 T_C 至 >300 K。"}]},{"type":"paragraph","attrs":{"id":"36f8d3dc-13cb-41bc-a352-b3fd4168563d","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[3] Wang Z, et al. ACS Nano 18, 23058 (2024) — Li 插层 CrI₃ 提升 T_C 至 >400 K。"}]},{"type":"paragraph","attrs":{"id":"e2f9112f-42b3-4ccd-896f-bf29a0af0ae0","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[4] Zhang G, et al. Nat. Commun. 13, 5067 (2022) — Fe₃GaTe₂ 的室温铁磁性实验发现。"}]},{"type":"paragraph","attrs":{"id":"b089c72a-2ab9-4ad8-bb8e-2c62f79baed9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[5] Wang M, et al. npj 2D Mater. Appl. 8, 22 (2024) — FGaT 单层/双层 T_C 实验测量。"}]},{"type":"paragraph","attrs":{"id":"8668268f-4ecc-4448-8d14-44dbe0a174f6","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[6] Huang X, et al. Appl. Phys. Lett. 119, 012405 (2021) — DFT 揭示 Li 插层 Fe₃GeTe₂ 的磁性增强机制。"}]},{"type":"paragraph","attrs":{"id":"5ebcfad9-22d0-4320-9f63-bbe96308c1a9","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[7] Huang X, et al. Phys. Rev. B 113, 184409 (2026) — 能量映射方法在 vdW 磁体中的应用。"}]},{"type":"paragraph","attrs":{"id":"602639d8-ba2f-4541-9b1f-82205988a15f","textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"[8] Liu L, et al. J. Phys. Chem. Lett. 11, 7893 (2020) — MCsolver 蒙特卡洛模拟软件。"}]},{"type":"paragraph","attrs":{"id":"4490c7c5-b46e-4ddc-a608-1088a84651f4","textAlign":"center","indent":0,"color":null,"background":null,"isHoverDragHandle":false},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"","background":""}}],"text":"Z. Song, Y. Mo, R. Zeng, L. Liu, X. Jiang, X. Huang, J.-M. Liu | J. Appl. Phys. 140, 014302 (2026) | Fe₃GaTe₂ · Li 插层 · 居里温度 · vdW 磁性"}]},{"type":"paragraph","attrs":{"id":null,"textAlign":"inherit","indent":0,"color":null,"background":null,"isHoverDragHandle":false}}]}","createTime":1785760811,"ext":{"closeTextLink":0,"comment_ban":0,"description":"","focusRead":0},"favNum":0,"html":"","isOriginal":0,"likeNum":0,