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Using the Landau-Zener-St\"uckelberg-Majorana-type (LZSM) semiclassicalapproach, we study both graphene and a thin film of a Weyl semimetal subjectedto a strong AC electromagnetic field. The spectrum of quasi energies in theWeyl semimetal turns out to be similar to that of a graphene sheet. Earlier ithas been predicted qualitatively that the transport properties ofstrongly-irradiated graphene oscillate as a function of the radiation intensity[S.V. Syzranov et al., Phys. Rev. B 88, 241112 (2013)]. Here we obtain rigorousquantitative results for a driven linear conductance of graphene and a thinfilm of a Weyl semimetal. The exact quantitative structure of oscillationsexhibits two contributions. The first one is a manifestation of theRamsauer-Townsend effect, while the second contribution is a consequence of theLZSM interference defining the spectrum of quasienergies.

Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-St\"uckelberg-Majorana interferometry