Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals

Abstract

Magneto-optical conductivity is a very widely studied transport coefficient, useful to understand and characterize the behaviour of materials under magnetic fields. Using the Kubo formula, we compute the components of the conductivity tensor ${\sigma }_{\mu \nu }$ transverse to a uniform magnetic field $\mathbf{B}$, for a single node of a multi-Weyl semimetal (with monopole charge $J$ equal to two or three). We also include the results for a Weyl semimetal (with $J=1$), and identify peaks in the conductivity profile which were not reported in earlier studies. In our analysis, we explore how the tilting of the Weyl/multi-Weyl cone affects ${\sigma }_{\mu \nu }$, focussing on both type-I and type-II phases. All these systems have a linear-in-momentum dispersion along the tilting axis, which is chosen to align with $\mathbf{B}$. In the type-II phases, open Fermi pockets appear as artifacts of the low-energy effective continuum models, which ignore higher-order momentum terms of the actual bandstructures. Hence, we supplement the linear power term with a cubic term, which closes the Fermi pockets, thus eliminating any need for an ad hoc cutoff for the momentum integrals. Our results reveal that the absorptive parts of ${\sigma }_{\mu \nu }$ display multiple peaks as functions of the frequency, whose locations are determined by an energy scale $\sim |\mathbf{B}{|}^{J/2}$.

journal version

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Cited by in corpus (16)

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• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Photogalvanic response in multi-Weyl semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Chiral anomaly and internode scatterings in multifold semimetals
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Light-induced pseudo-magnetic fields in three-dimensional topological semimetals
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect