Effects of time-periodic drive in the linear response for planar-Hall set-ups with Weyl and multi-Weyl semimetals

We investigate the influence of a time-periodic drive on three-dimensional Weyl and multi-Weyl semimetals in planar-Hall/planar-thermal-Hall set-ups. The drive is modelled here by circularly-polarized electromagnetic fields, whose effects are incorporated by a combination of the Floquet theorem and the van Vleck perturbation theory, applicable in the high-frequency limit. We evaluate the longitudinal and in-plane transverse components of the linear-response coefficients using the semiclassical Boltzmann formalism, thereby demonstrating the explicit analytical expressions of the conductivity for large frequencies. Our results corroborate the fact that the topological charges of the corresponding semimetals etch their trademark signatures in these transport properties, which can be detected in appropriate experiments.