Topology and symmetry of circular photogalvanic effect in the chiral multifold semimetals: a review

TL;DR

This review discusses the classification, theoretical basis, and recent ab-initio calculations of the quantized circular photogalvanic effect in chiral multifold semimetals, highlighting potential materials for observing quantized responses.

Contribution

It provides a comprehensive symmetry analysis, theoretical derivation, and new ab-initio calculations of CPGE in chiral topological semimetals, identifying promising candidate materials.

Findings

CPGE tensor classification for all nonmagnetic point groups

Quantization of CPGE depends on the Chern number of multifold fermions

Identification of RhSi family members as promising candidates for quantized CPGE

Abstract

The circular photogalvanic effect (CPGE) is the only possible quantized signal in Chiral Weyl and multi-fold semimetals with inversion and mirror symmetries broken. Here, we review CPGE in the chiral multifold semimetals in terms of classification of CPGE tensor, the quantization of CPGE from k.p effective model and topological semimetal RhSi family. Firstly, we give complete symmetric analysis of CPGE tensors for all nonmagnetic point groups, and get a table classifying matrix of response tensors. Secondly, the CPGE becomes a quantized response in the noncentrosymmetric topological semimetals, and depends on the Chern number of multifold fermions. Based on k.p effective model with linear dispersion, detailed derivations about the quantization of CPGE are given. Finally, according to ab-initio analysis for the quantized CPGE based on noninteracting electronic structures, we review previous reports and make new calculations for the chiral topological semimetals in RhSi family, which can be separated into two groups. The first group, including RhSi, PtAl and CoSi, can be the promising candidates to exhibit a quantized CPGE trace, while the second group includes PdGa, PtGa and RhSn without a quantization.