Zhang Zhi-Fan, Zhu Zhen-Gang, Su Gang
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China.
School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China.
Natl Sci Rev. 2023 Apr 27;10(11):nwad104. doi: 10.1093/nsr/nwad104. eCollection 2023 Nov.
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 the Berry curvature dipole, Berry connection polarizability and Drude term with nontrivial topological nature. The results are obtained by conducting a full symmetry investigation of the 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 an overall understanding of the second-order nonlinear responses in realistic materials.
最近，晶体材料中具有非平凡拓扑性质的电荷或自旋非线性输运引起了广泛关注。在本文中，我们对所有122个磁点群（MPG）进行了全面的对称性分析，并为具有非平凡拓扑性质的电荷和自旋非线性输运提供了一个有用的字典，该字典涉及贝里曲率偶极子、贝里连接极化率和德鲁德项。这些结果是通过对六个非线性响应张量的矩阵表示进行全面的对称性研究而获得的。我们进一步确定了每个可以容纳两个或三个非线性张量的磁点群。目前的工作为全面理解实际材料中的二阶非线性响应提供了坚实的理论基础。
