Symmetry-adapted tensors constrained by magnetic and nonmagnetic groups

> Symmetry constrained LMO and AHE Tensors

 >Symmetry constrained Axial tensors

Original and gray MPGs | BW MPGs ​

 >Symmetry constrained SHE tensors

Laue Groups of (a) | Laue Groups of (b) | Laue Groups of (c) ​

 >Symmetry constrained SHG tensors

Original and gray MPGs | BW MPGs

or visit alternatively: Classification of SHG effect in magnetically ordered materials ​

> Symmetry constrained SPGE tensors

Original and gray MPGs | BW MPGs ​

The above results are the part of the outcome of the software of TensorSymmetry, which is avaliable in GitHub now.

Notation: MPG: magnetic point groups BW MPG: black and white magnetic point groups AHE: anomalous Hall effect Linear magneto-optic effect(LMO): Faraday effect and Kerr effect SHE: spin Hall effect SHG: second harmonic generation SPGE: spin photogalvanic effect

• Reference: TensorSymmetry: a package to get symmetry-adapted tensors disentangling spin-orbit coupling effect and establishing analytical relationship with magnetic order [arXiv version]

• Raman tensors in all magnetic groups in available now, click the hyperlink.

(c) The authors Institute of Quantum Materials and Physics, Institute of Physical Science and Information Technology and Information Materials, Anhui University, Hefei 230601, China (安徽大学物质科学与信息技术研究院 量子材料与物理研究所) Contact: xiaoruichun@ahu.edu.cn (Rui-Chun Xiao 肖瑞春)

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