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Abstract

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. We demonstrate the explicit expressions of these transport coefficients in certain limits of the system parameters, where it is possible to derive the explicit analytical expressions. Our results demonstrate that the topological charges of the corresponding semimetals etch their trademark signatures in these transport properties, which can be observed in experiments.