Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals

Abstract

We investigate the influence of a time-periodic driving (for example, by shining circularly polarized light) on three-dimensional Weyl and multi-Weyl semimetals, in the planar Hall and planar thermal Hall set-ups. We incorporate the effects of the drive by using the Floquet formalism in the large frequency limit. We evaluate the longitudinal magneto conductivity, planar Hall conductivity, longitudinal thermo-electric coefficient, and transverse thermo-electric coefficient, using the semi-classical Boltzmann transport equations. We demonstrate the explicit expressions of these transport coefficients in certain limits of the parameters, where it is possible to perform the integrals analytically. We cross-check our analytical approximations by comparing the physical values with the numerical results, obtained directly from the numerical integration of the integrals. The answers obtained show that the topological charges of the corresponding semimetals have profound signatures in these transport properties, which can be observed in experiments.

The first author made serious errors involving units of response as well as parameter values, omitted Berry curvature from phase-space factors, and did not expand in large-frequency consistently. The lead author would like to apologise for any inconvenience caused, under whose watch all these happened, and has provided the correct results in arXiv:2503.14406 [Can. J. Phys. 103, 1147 (2025)]