面内反常霍尔效应的统一对称性框架
A Unified Symmetry Framework For In-plane Anomalous Hall effect
中文总结 AI 辅助
本研究建立统一对称性框架关联自旋空间群与磁空间群，确定支持面内反常霍尔效应的磁点群，筛选出候选材料并通过第一性原理计算验证，为非常规磁性提供对称性指纹。
中文摘要 AI 辅助
面内反常霍尔效应（IPAHE）由面内净磁化强度或外加磁场驱动，对传统反常霍尔范式提出了挑战。尽管人们对此兴趣日益浓厚，但支配这些现象的统一对称性原理仍未明晰。在此，我们建立了一个综合对称性框架，它将决定磁几何的自旋空间群与支配反常霍尔响应的磁空间群关联起来。我们表明，当自旋轨道耦合诱导的自旋群对称性破缺允许额外的净磁化方向时，自发IPAHE可在铁磁体中出现。对于场诱导的IPAHE，我们分析了外加磁场如何降低全部122个磁点群的对称性，并确定了支持IPAHE的54个群。我们的框架自然地预测了一大类非常规磁体（包括非共线反铁磁体和奇宇称磁体）中存在IPAHE。特别地，对称性分析揭示了在面内旋转磁场下霍尔电导具有特征性的一、二或三重角谐波，为非常规磁性提供了对称性分辨的指纹。利用该框架，我们筛选了MAGNDATA数据库，确定了支持自发或场诱导IPAHE的候选材料，涵盖铁磁体、反铁磁体和非常规磁体。最后，我们通过两种代表性材料的第一性原理计算验证了对称性预测。
英文摘要
The in-plane anomalous Hall effect (IPAHE), driven by an in-plane net magnetization or an applied magnetic field, challenges the conventional anomalous Hall paradigm. Despite growing interest, a unified symmetry principle governing these phenomena has remained elusive. Here, we establish a comprehensive symmetry framework that bridges the spin space group, which dictates the magnetic geometry, with the magnetic space group, which governs the anomalous Hall response. We show that spontaneous IPAHE can emerge in ferromagnets when spin-orbit-coupling-induced spin-group symmetry breaking permits additional net magnetization directions. For field-induced IPAHE, we analyze how an applied magnetic field reduces the symmetries of all 122 magnetic point groups and identify 54 groups that support IPAHE. Our framework naturally predicts IPAHE in a broad class of unconventional magnets, including altermagnets and odd-parity magnets. In particular, symmetry analysis reveals characteristic one-, two-, or three-fold angular harmonics of the Hall conductance under an in-plane rotating field, providing a symmetry-resolved fingerprint for unconventional magnetism. Using this framework, we screen the MAGNDATA database and identify candidate materials supporting spontaneous or field-induced IPAHE, encompassing ferromagnets, antiferromagnets, and unconventional magnets. Finally, we validate the symmetry predictions through first-principles calculations for two representative materials.
