Eur. Phys. J. B (2012) 85: 53
https://doi.org/10.1140/epjb/e2011-20726-4

Regular Article

Landau levels in graphene layers with topological defects

¹ Departamento de Física, CCEN, Universidade Federal da Paraíba, Cidade Universitária, 58051-970 João Pessoa, PB, Brazil
² Instituto de Física, Universidade Federal de Alagoas, Campus A.C. Simões, Av. Lourival Melo Mota, s/n, Tabuleiro do Martins, CEP 57072-970 Maceió, AL, Brazil

^a e-mail: furtado@fisica.ufpb.br

Received: 1 September 2011
Received in final form: 30 November 2011
Published online: 8 February 2012

Abstract

In this work, we study the low-energy electronic spectrum of a graphene layer structure with a disclination in the presence of a magnetic field. We make this study using the continuum approach, where we use the geometric theory of topological defects to introduce a disclination in a graphene layer, and the electrons are described by the massless Dirac equation in this curved background. The bound states energy spectrum and eigenfunctions are also obtained and an explicit dependence was found on the parameter that characterizes the topological defect and on the magnetic field.