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Confinement in Gapped Graphene with Magnetic Flux

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.