Regular Article

Transmission in graphene through time-oscillating linear barrier

¹ Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000 El Jadida, Morocco
² Saudi Center for Theoretical Physics, Dhahran, Saudi Arabia

^a e-mail: a.jellal@ucd.ac.ma

Received: 14 December 2018
Received in final form: 24 February 2019
Published online: 15 April 2019

Abstract

Transmission probabilities of Dirac fermions in graphene under linear barrier potential oscillating in time are investigated. Solving Dirac equation we end up with the solutions of the energy spectrum depending on several modes coming from the oscillations. These will be used to obtain a transfer matrix that allows to determine transmission amplitudes of all modes. Due to numerical difficulties in truncating the resulting coupled channel equations, we limit ourselves to low quantum channels, i.e. l = 0, ±1, and study the three corresponding transmission probabilities.