Geometry-induced quantum dots on surfaces with Gaussian bumps

Abstract

In this work we investigate the two dimensional electron gas on surfaces showing Gaussian bumps. Due to confinement on two dimensional curved space, a geometry-induced potential appears. For surfaces showing single bumps, the geometrical potential gives rise to a geometry-induced quantum ring, as showed in a previous work. For surfaces with multiples bumps, the charge carries may be trapped around the center of these surfaces, which could gives rise to a geometry-induced quantum dot. Our results can be realized on bilayer graphene sheets and we hope that it would lead to new technics of building quantum dots.