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

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.

arXiv comment11 pages, 5 figures

References in corpus (39)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Classification of topological quantum matter with symmetries
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Observation of Weyl nodes in TaAs
• Discovery of a Weyl Fermion semimetal state in NbAs
• Quantized circular photogalvanic effect in Weyl semimetals
• Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
• Control over topological insulator photocurrents with light polarization
• Multiple types of topological fermions in transition metal silicides
• Direct optical detection of Weyl fermion chirality in a topological semimetal
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Discovery of topological chiral crystals with helicoid arc states
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Photocurrents in Weyl semimetals
• Optical characterization of topological insulator surface states: Berry curvature-dependent response
• Gyrotropic magnetic effect and the magnetic moment on the Fermi surface
• Giant intrinsic spin Hall effect in the TaAs family of Weyl semimetals
• Observation of Topological Photocurrents in the Chiral Weyl Semimetal RhSi
• Chiral Optical Response of Multifold Fermions
• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
• Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
• Rarita-Schwinger-Weyl semimetal in Jeff=3/2 electron systems
• Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
• Three-dimensional Critical Dirac semimetal in KMgBi
• An ab-initio study of circular photogalvanic effect in chiral multifold semimetals
• $\beta$-CuI: a Dirac semimetal without surface Fermi arcs
• Pseudospin 3/2 Fermions, Type-II Weyl Semimetals and Critical Weyl Semimetals in Tricolor Cubic Lattice
• Studying the Magnetic Properties of CoSi Single Crystals

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