Eur. Phys. J. Plus (2014) 129: 147
https://doi.org/10.1140/epjp/i2014-14147-6

Regular Article

On the Lorentz symmetry breaking effects on a Dirac neutral particle inside a two-dimensional quantum ring

¹ Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, Brazil
² Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, 29060-900, Vitória, Brazil

^* e-mail: kbakke@fisica.ufpb.br

Received: 19 February 2014
Revised: 9 May 2014
Accepted: 2 June 2014
Published online: 9 July 2014

Abstract

We study the effects of the Lorentz symmetry violation in the nonrelativistic quantum dynamics of a spin-1/2 neutral particle interacting with external fields confined to a two-dimensional quantum ring (W.-C. Tan, J.C. Inkson, Semicond. Sci. Technol. 11, 1635 (1996)). We show a possible scenario for the Lorentz symmetry breaking that permits us to make an analogy with the Landau-Aharonov-Casher system (M. Ericsson, E. Sjöqvist, Phys. Rev. A 65, 013607 (2001)), where a change in the angular frequency characteristic of the confinement of a quantum particle to a two-dimensional ring is obtained. Then, we show that an upper bound for the Lorentz symmetry breaking parameters may be set up. Besides, we analyse another possible scenario of the Lorentz symmetry violation by showing the presence of an analogue of the Coulomb potential. We obtain the bound states solutions to the Schrödinger-Pauli equation and discuss a quantum effect characterized by the dependence of the angular frequency on the quantum numbers of the system.