Confinement in Gapped Graphene with Magnetic Flux

Abstract

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux $\varphi$. 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 $\varphi$. We choose two values of the flux $\varphi =1/2,3/2$ 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.

15 pages, 8 figures