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

doi:10.1016/j.aop.2020.168384

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arXiv · 2008.03570

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

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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 ν. In addition, we also show that, for appropriate parameter values, one finds gapless and gapped states.

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J. R. S. Oliveira, G. Q. Garcia, P. J. Porfírio, C. Furtado. 2020-08-08. Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field. https://doi.org/10.1016/j.aop.2020.168384

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