Graphene Nanoribbon in Sharply Localized Magnetic Fields

TL;DR

This paper investigates how sharply localized magnetic fields affect electron transport in graphene nanoribbons, analyzing transmission, reflection, and potential confinement effects for delta and Gaussian magnetic barriers.

Contribution

It provides analytical and numerical analysis of electron transmission and reflection in graphene under sharply localized magnetic fields, including confinement possibilities.

Findings

Transmission and reflection coefficients are calculated for delta and Gaussian magnetic barriers.

Localized magnetic fields can induce spatial confinement of electrons in graphene.

Analytical and numerical methods are combined to study magnetic barrier effects.

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.