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Topological Circular Dichroism in Chiral Multifold Semimetals

Journal Article · · Physical Review Letters
Uncovering the physical contents of the nontrivial topology of quantum states is a critical problem in condensed matter physics. Here, we study the topological circular dichroism in chiral semimetals using linear response theory and first-principles calculations. We show that, when the low-energy spectrum respects emergent SO(3) rotational symmetry, topological circular dichroism is forbidden for Weyl fermions, and thus is unique to chiral multifold fermions. This is a result of the selection rule that is imposed by the emergent symmetry under the combination of particle-hole conjugation and spatial inversion. Using first-principles calculations, we predict that topological circular dichroism occurs in CoSi for photon energy below about 0.2 eV. In conclusion, our Letter demonstrates the existence of a response property of unconventional fermions that is fundamentally different from the response of Dirac and Weyl fermions, motivating further study to uncover other unique responses.
Research Organization:
Ames Laboratory (AMES), Ames, IA (United States). Center for the Advancement of Topological Semimetals (CATS)
Sponsoring Organization:
Air Force Office of Scientific Research; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-07CH11358
OSTI ID:
2423804
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 131; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (47)

A no-go theorem for regularizing chiral fermions journal October 1981
Quantized circular photogalvanic effect in Weyl semimetals journal July 2017
Chiral fermion reversal in chiral crystals journal December 2019
Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi journal January 2021
Theory of optical responses in clean multi-band superconductors journal March 2021
Topological quantum properties of chiral crystals journal October 2018
Topology and geometry under the nonlinear electromagnetic spotlight journal June 2021
Chiral topological semimetal with multifold band crossings and long Fermi arcs journal May 2019
Observation of unconventional chiral fermions with long Fermi arcs in CoSi journal March 2019
Topological chiral crystals with helicoid-arc quantum states journal March 2019
Spontaneous gyrotropic electronic order in a transition-metal dichalcogenide journal February 2020
Multifold nodal points in magnetic materials journal October 2019
Optical signatures of multifold fermions in the chiral topological semimetal CoSi journal October 2020
Collective plasmonic modes in the chiral multifold fermionic material CoSi journal April 2022
Circular dichroism as a probe for topology in three-dimensional semimetals journal June 2022
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Maximally localized generalized Wannier functions for composite energy bands journal November 1997
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Band theory of spatial dispersion in magnetoelectrics journal December 2010
Optical activity as a test for dynamic chiral magnetic effect of Weyl semimetals journal October 2015
Chiral magnetic effect and natural optical activity in metals with or without Weyl points journal December 2015
First-principles calculation of nonlinear optical responses by Wannier interpolation journal September 2017
Gyrotropic effects in trigonal tellurium studied from first principles journal January 2018
Ab initio calculation of the shift photocurrent by Wannier interpolation journal June 2018
Chiral optical response of multifold fermions journal October 2018
Semiclassical wave packet dynamics in nonuniform electric fields journal March 2019
Linear optical conductivity of chiral multifold fermions journal April 2019
Gyrotropic Magnetic Effect and the Magnetic Moment on the Fermi Surface journal February 2016
Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi journal November 2017
Multiple Types of Topological Fermions in Transition Metal Silicides journal November 2017
Observation of Chiral Fermions with a Large Topological Charge and Associated Fermi-Arc Surface States in CoSi journal February 2019
Nonreciprocal Directional Dichroism Induced by the Quantum Metric Dipole journal June 2019
Interactions Remove the Quantization of the Chiral Photocurrent at Weyl Points journal May 2020
Resonant Second-Harmonic Generation as a Probe of Quantum Geometry journal November 2022
Visualizing Higher-Fold Topology in Chiral Crystals journal February 2023
Generalized Gradient Approximation Made Simple journal October 1996
Maximally localized Wannier functions: Theory and applications journal October 2012
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi journal July 2020
Fine Structure Constant Defines Visual Transparency of Graphene journal June 2008
Dynamic Control and Amplification of Molecular Chirality by Circular Polarized Light journal September 1996
Circular Polarization in Star- Formation Regions: Implications for Biomolecular Homochirality journal July 1998
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals journal July 2016
Signatures of two- and three-dimensional semimetals from circular dichroism journal June 2023
Topology and Symmetry of Quantum Materials via Nonlinear Optical Responses journal March 2021
Multipole theory of optical spatial dispersion in crystals journal May 2023
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi dataset January 2020
Effect of Interactions on the Quantization of the Chiral Photocurrent for Double-Weyl Semimetals journal June 2020