Linear optical conductivity of chiral multifold fermions

Abstract

Chiral multifold fermions are quasiparticles described by higher spin generalizations of the Weyl equation, and are realized as low energy excitations near symmetry protected band crossings in certain chiral crystals. In this work we calculate the linear optical conductivity of all chiral multifold fermions. We show that it is enhanced with respect to that of Weyl fermions with the same Fermi velocity, and features characteristic activation frequencies for each multifold fermion class, providing an experimental fingerprint to detect them. We calculate the conductivity for realistic chiral multifold semimetals by using lattice tight-binding Hamiltonians that match the effective models of multifold fermions at low energies, for space groups 199 and 198. The latter includes RhSi, for which we give quantitative predictions, and also CoSi and AlPt. Our predictions can be tested in absorption or penetration depth measurements, and are necessary to extract the recently proposed quantized photocurrents from experiments.

15 pages, 10 figures. Accepted version

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• Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
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• Topological Circular Dichroism in Chiral Multifold Semimetals
• Broadband optical conductivity of the chiral multifold semimetal PdGa
• Analysis of the unconventional chiral fermions in a non-centrosymmetric chiral crystal $\text{PtAl}$
• Multiplicative topological semimetals
• Quantum transport of a spin-1 chiral fermion
• Optical conductivity of the threefold Hopf semimetal
• Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
• Band Curvature Effects on Quantum Transport of Spin-1 Chiral Fermion Systems
• Winding Topology of Multifold Exceptional Points
• Tunable Octdong and Spindle-Torus Fermi Surfaces in Kramers Nodal Line Metals
• Collective plasmonic modes in the chiral multifold fermionic material CoSi
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Volkov-Pankratov states in a driven semimetal for a generic interface
• Quantum Transport in Spin-1 Chiral Fermion: Self-Consistent Born Approximation
• Ultrafast Carrier Relaxation and Second Harmonic Generation in a Higher-Fold Weyl Fermionic System PtAl
• Optical conductivity of the topologically-nontrivial MXenes, Mo${}_2$HfC${}_2$O${}_2$ and W${}_2$HfC${}_2$O${}_2$: first-principles calculation and effective model analysis
• Surface states and finite size effects in triple-fold semimetals