Abstract
Silicene and germanene have remarkable electronic properties due to strong spin orbit coupling and buckled single layer structures. We derive and analyze the band structures of these materials in the presence of perpendicular electric and magnetic fields taking into account the effects of off-resonant light. Using linear response theory, analytical expressions are derived and evaluated for the Hall and longitudinal conductivities. Contrary to graphene, we show that the light leads to a single Dirac cone state and thus to unusual plateaus and magnetotransport properties, which are desirable for electronic applications.
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