Imaginary part of Hall conductivity in tilted doped Weyl semimetal with both broken time reversal and inversion symmetry

Abstract

We consider a Weyl semimetal (WSM) with finite doping and tilt within a continuum model Hamiltonian with both broken time reversal and inversion symmetry. We calculate the absorptive part of the anomalous AC Hall conductivity as a function of photon energy ($\Omega$) for both type I and type II Weyl semimetal. For a given Weyl node, changing the sign of its chirality or of its tilt changes the sign of its contribution to the absorptive Hall conductivity with no change in magnitude. For a noncentrosymmetric system we find that there are ranges of photon energies for which only the positive or only the negative chirality node contributes to the imaginary (absorptive) part of the Hall conductivity. There are also other photon energies where both chirality contribute and there can be other ranges of $\Omega$ where there is no absorption associated with the AC Hall conductivity in type I and regions where it is instead constant for type II. We comment on implications for the absorption of circular polarized light.

10 pages, minor corrections in the published version

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• Giant optical activity and Kerr effect in type-I and type-II Weyl semimetals
• Waveguide Modes in Weyl Semimetals with Tilted Dirac Cones
• Signatures of Complex Optical Response in Casimir Interactions of Type I and II Weyl Semimetals
• Giant photocurrent in asymmetric Weyl semimetals from the helical magnetic effect
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Dynamical conductivity of the Fermi arc and the Volkov-Pankratov states on the surface of Weyl semimetals
• Dynamic chiral magnetic effect and anisotropic natural optical activity of tilted Weyl semimetals
• Magneto-optical Kerr effect in Weyl semimetals with broken inversion and time-reversal symmetries
• Effect of chiral anomaly on the circular dichroism and Hall angle in doped and tilted Weyl semimetals
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Quantum magnetic oscillations in Weyl semimetals with tilted nodes
• Current response to axial gauge fields in noncentrosymmetric magnetic Weyl semimetals