Eur. Phys. J. B (2013) 86: 73
https://doi.org/10.1140/epjb/e2012-30701-2

Regular Article

Graphene nanoribbon in sharply localized magnetic fields

¹ Saudi Center for Theoretical Physics, 31261 Dhahran, Saudi Arabia
² Physics Department, King Fahd University of Petroleum Minerals, 31261 Dhahran, Saudi Arabia
³ Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University, 24000 El Jadida, Morocco
⁴ Physics Department, College of Sciences, King Faisal University, 31982 Alahssa, Saudi Arabia

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

Received: 30 July 2012
Received in final form: 24 October 2012
Published online: 1 March 2013

Abstract

We study the effect of a sharply localized magnetic field on the electron transport in a strip (ribbon) of graphene sheet, which allows to give results for the transmission and reflection probability through magnetic barriers. The magnetic field is taken as a single and double delta type localized functions, which are treated later as the zero width limit of Gaussian fields. For both field configurations, we evaluate analytically and numerically their transmission and reflection coefficients. The possibility of spacial confinement due to the inhomogeneous field configuration is also investigated.