Confinement in Gapped Graphene with Magnetic Flux

TL;DR

This paper analyzes electron scattering in a gapped graphene quantum dot influenced by magnetic flux, providing analytical solutions and identifying scattering regimes and resonances.

Contribution

It offers new analytical expressions for eigenstates and scattering properties in gapped graphene with magnetic flux, highlighting flux-dependent scattering behaviors.

Findings

Scattering resonances occur at low incident electron energies.

Distinct preferred scattering directions are observed for specific flux values.

Different scattering regimes depend on physical parameters like energy, potential, and flux.

Abstract

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\phi$. We present analytical expressions for the eigenstates, scattering coefficients, scattering efficiency and radial component of the reflected current. We identify different scattering regimes as a function of the physical parameters such as the incident electronic energy, potential barrier, radius of quantum dot, gap and $\phi$. We choose two values of the flux $\phi=1/2, 3/2$ and show that for low energy of the incident electron, the scattering resonances appear and the far-field scattered current presents distinct preferred scattering directions.