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 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 quantumnumbers (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 thatwe could limit ourselves to the central (n = 0) and two adjacent sidebands (n = 1).