论文标题

对所有具有非平凡拓扑性质的磁点组的电荷和旋转非线性响应的对称字典

Symmetry Dictionary on Charge and Spin Nonlinear Responses for All Magnetic Point Groups with Nontrivial Topological Nature

论文作者

Zhang, Zhi-fan, Zhu, Zhen-Gang, Su, Gang

论文摘要

最近,晶体材料中具有非平凡拓扑特性的电荷或旋转非线性转运引起了很多关注。在本文中,我们对所有122个磁点组(MPG)进行了全面的对称分析,并提供了一个有用的词典,用于从浆果曲率偶极子,浆果连接极化和具有非平凡拓扑性质的DRUDE术语中进行电荷和旋转非线性转运。结果是通过对六个非线性响应张量的矩阵表示形式进行全面对称研究来获得的。我们进一步确定每个可以容纳两个或三个非线性张量的MPG。目前的工作为整体理解逼真的材料中的二阶非线性响应提供了坚实的理论基础。

Recently, charge or spin nonlinear transport with nontrivial topological properties in crystal materials has attracted much attention. In this paper, we perform a comprehensive symmetry analysis for all 122 magnetic point groups (MPGs) and provide a useful dictionary for charge and spin nonlinear transport from Berry curvature dipole, Berry connection polarization and Drude term with nontrivial topological nature. The results are obtained by making a full symmetry investigation on matrix representations of six nonlinear response tensors. We further identify every MPG that can accommodate two or three of the nonlinear tensors. The present work gives a solid theoretical basis for overall understanding the second-order nonlinear responses in realistic materials.

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