Fermions in graphene with magnetic field and time-oscillating potential

Abstract

We study the Dirac fermions in graphene under a magnetic field and a scalar potential oscillating in time. Using the Floquet theory and resonance approximation, we show that the energy spectrum exhibits extra subbands resulting from the oscillating potential in addition to quantized Landau levels. The magnetic field and potential are discovered to greatly influence the generation of current density in the x and y-directions. Our numerical analysis reveals that the energy spectrum is symmetric and that the current density oscillates with varying amplitudes under various conditions.