Quantum Ring in Gapped Graphene Layer with Wedge Disclination in the Presence of an Uniform Magnetic Field

Jose Amaro Neto, J. R. S. Oliveira, Claudio Furtado

Published 2017-01-09Version 1

In this paper we investigate the relativistic quantum dynamics of massive excitations in a graphene layer with a wedge disclination in the presence of an uniform magnetic field in $z$-direction. We use a Dirac oscillator type coupling to introduce the confining potential for massive fermions in this system. We obtain the spectrum and eigenfunctions of energy for this quantum ring pierced by Aharonov-Bohm flux. We also find the persistent current and magnetization for this two-dimensional quantum ring in disclinated graphene layer. The influence of a wedge disclination on physical quantities is analyzed.