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

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.

14 pages, 6 figures

References in corpus (12)

• The electronic properties of graphene
• Andreev reflection and Klein tunneling in graphene
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Electronic properties of curved graphene sheets
• Geometric Phases in Graphitic Cones
• Bound States of Conical Singularities in Graphene-Based Topological Insulators
• Manifestations of topological effects in graphene
• Energy spectrum and Landau levels in bilayer graphene with spin-orbit interaction
• Landau levels and magnetic oscillations in gapped Dirac materials with intrinsic Rashba interaction
• Graphene with wedge disclination in the presence of intrinsic and Rashba spin orbit couplings
• Bound States and Supercriticality in Graphene-Based Topological Insulators