Scattering in gapped graphene quantum dot with magnetic flux

Abstract

We study the propagation of electrons in a circular quantum dot of gapped graphene subject to the magnetic flux ϕ. 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 ϕ. We choose two values of the flux ϕ = 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.