LAUSR

In this paper, we discuss the effect of a periodically driving circularly polarized laser beam in the high-frequency limit, on the band structure and thermal transport properties of type-I and type-II Weyl semimetals (WSMs). We develop the notion of an effective Fermi surface stemming from the time-averaged Floquet Hamiltonian and discuss its effects on the steady-state occupation numbers of electrons and holes in the linearized model. In order to compute the transport coefficients averaged over a period of the incident laser source, we employ the Kubo formalism for Floquet states and show that the Kubo formula for the conductivity tensor retains its well-known form with the difference that the eigenstates and energies are replaced by the Floquet states and their quasienergies. We find that for type-I WSMs the anomalous thermal Hall conductivity grows quadratically with the amplitude ${A}_{0}$ of the U(1) gauge field for low tilt, while the Nernst conductivity remains unaffected. For type-II WSMs, the Hall conductivity decreases nonlinearly with ${A}_{0}$ due to the contribution from the physical momentum cutoff, required to keep finite electron and hole pocket sizes, and the Nernst conductivity falls off logarithmically with ${A}_{0}^{2}$. These results may serve as a diagnostic for material characterization and transport parameter tunability in WSMs, which are currently the subject of a wide range of experiments.