Transmission in graphene through time periodic double barrier potential

Transmission of Dirac fermions through a chip of graphene under the effect of a magnetic field and a time oscillating double barrier with frequency ω is investigated. Quantum interference within the oscillating barrier has an important effect on quasi-particle tunneling. The combination of both time dependent potential and magnetic field generates physical states whose energy is double quantized as reflected by the integer pair quantum numbers ( n , l ) with a high degeneracy. The large number of modes that exist in the energy spectrum presents a colossal difficulty in the evaluation of physical results for arbitrary parameters. Thus we restricted our computations to weak time dependent perturbations so that we could limit ourselves to the central ( n = 0 ) and two adjacent sidebands ( n = ± 1 ).