Effect of chiral anomaly on the circular dichroism and Hall angle in doped and tilted Weyl semimetals
arXiv:1903.03072 · doi:10.1103/PhysRevB.99.235134
Abstract
From the Kubo formula for transport in a tilted Weyl semimetal we calculate the absorptive part of the dynamic conductivity for both right and left handed circular polarized light. These depend on the real part of the longitudinal conductivity and the imaginary part of the transverse (Hall) conductivity. We include the effect of the chiral anomaly which pumps charge from negative to positive chirality node when the usual ${\bs E}\cdot{\bs B}$ term is included in the electrodynamics and obtain analytic expressions. To calculate the Hall angle we further provide expressions for the imaginary part of longitudinal and real part of the transverse conductivity and compare results with and without the pumping term. We also consider the case of a non centro symmetric Weyl semimetal in which the chiral nodes are displaced in energy by an amount . This leads to modification in dichroism and Hall angle which parallel the pumping case.
arXiv comment11 pages, 7 figures, to appear in PRB
References in corpus (39)
- Topological Insulators
- Topological insulators and superconductors
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Type-II Weyl Semimetals
- Experimental discovery of Weyl semimetal TaAs
- Colloquium: Topological Band Theory
- Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- Observation of Weyl nodes in TaAs
- Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
- Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
- Spectroscopic evidence for type II Weyl semimetal state in MoTe2
- Charge Transport in Weyl Semimetals
- Chiral anomaly and transport in Weyl metals
- Observation of Fermi Arcs in Type-II Weyl Semimetal Candidate WTe2
- Weyl Metals
- Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
- Sum Rules for the Optical and Hall Conductivity in Graphene
- Chiral anomaly and optical absorption in Weyl semimetals
- Intrinsic Anomalous Hall Effect in Type-II Weyl Semimetals
- Measuring quantized circular dichroism in ultracold topological matter
- Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
- Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
- Experimental realization of type-II Weyl state in non-centrosymmetric TaIrTe
- Tunable circular dichroism due to the chiral anomaly in Weyl semimetals
- Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals
- Chiral pumping effect induced by rotating electric fields
- Anomalous Hall Effect in type-I Weyl metals
- Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
- Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
- Absorption of circular polarized light in tilted Type-I and II Weyl semimetals
- Sum rule for the optical Hall angle
- Anomalous Nernst effect in type-II Weyl semimetals
- Collective effects in tilted Weyl cones: optical conductivity, polarization, and Coulomb interactions reshaping the cone
- Anisotropic chiral magnetic effect from tilted Weyl cones
- Imaginary part of Hall conductivity in tilted doped Weyl semimetal with both broken time reversal and inversion symmetry
- Disorder in tilted Weyl semimetals from a renormalization group perspective
- Anomalous DC Hall response in noncentrosymmetric tilted Weyl semimetals