Eur. Phys. J. B (2014) 87: 123
https://doi.org/10.1140/epjb/e2014-41096-3

Regular Article

Tunneling of massive dirac fermions in graphene through time-periodic potential

¹ Saudi Center for Theoretical Physics, 31261 Dhahran, Saudi Arabia
² Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000 El Jadida, Morocco
³ Physics Department, Faculty Polydisciplinary, Sultan Moulay Slimane University, 23000 Beni Mellal, Morocco
⁴ Physics Department, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Saudi Arabia

^a e-mail: ahmed.jellal@gmail.com

Received: 20 December 2013
Received in final form: 3 April 2014
Published online: 2 June 2014

Abstract

The energy spectrum of a graphene sheet subject to a single barrier potential having a time periodic oscillating height and subject to a magnetic field is analyzed. The corresponding transmission is studied as function of the incident energy and potential parameters. Quantum interference within the oscillating barrier has an important effect on quasiparticles tunneling. In particular the time-periodic electrostatic potential generates additional sidebands at energies ϵ + lħω (l = 0, ±1,...) in the transmission probability originating from the photon absorption or emission within the oscillating barrier. Due to numerical difficulties in truncating the resulting coupled channel equations we limited ourselves to low quantum channels, i.e. l = 0, ± 1.