Energy levels of magnetic quantum dots in gapped graphene

Abstract

We study the energy levels of charge carriers confined in a magnetic quantum dot in graphene surrounded by a infinite graphene sheet in the presence of energy gap. We explicitly determine the eigenspinors for both valleys K and $$K'$$ , whereas we use the boundary condition at interface of the quantum dot to obtain the energy levels. We numerically investigate our results and show that the energy levels exhibit the symmetric and antisymmetric behaviors under suitable conditions of the physical parameters. We find that the radial probability can be symmetric or antisymmeric according to the angular momentum is null or no-null. Finally, we show that the application of an energy gap decreases the electron density in the quantum dot, which indicates a temporary trapping of electrons.