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

TL;DR

This paper analytically studies the effects of a wedge disclination and a uniform magnetic field on quasiparticles in a graphene-based topological insulator, revealing Landau level modifications and the emergence of gapless and gapped states.

Contribution

It provides an analytical solution for Landau levels in a topological insulator with a disclination under magnetic field, highlighting how topological defects influence electronic states.

Findings

Landau levels are lifted for specific parameter ranges.

Both gapless and gapped states can occur depending on parameters.

Disclination affects the electronic spectrum of the topological insulator.

Abstract

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.