Eur. Phys. J. B (2013) 86: 147
https://doi.org/10.1140/epjb/e2013-31075-7

Regular Article

Geometry-induced quantum dots on surfaces with Gaussian bumps

Unidade Acadêmica de Física, Universidade Federal de Campina Grande, POB 10071 Campina Grande, PB 58109-970, Brazil

^a e-mail: cleversonfilgueiras@yahoo.com.br

Received: 28 November 2012
Received in final form: 14 January 2013
Published online: 10 April 2013

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.