Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field

J. R. S. Oliveira, G. Q. Garcia, P. J. Porfírio, C. Furtado

Published 2020-08-08Version 1

In this paper we investigate quasiparticles in graphene-based topological insulator with a wedge disclination in the presence of a uniform magnetic field. In particular, we consider a massive spinless model. The Landau levels are analytically found for the described system. We show that the Landau levels are lifted for a specific range of the parameter {\nu}. In addition, we also show that, for appropriate parameter values, one finds gapless and gapped states.