Landau levels for massive disclinated graphenebased topological insulator
Abstract
In this work, we investigate the massive KaneMele model for graphene in the presence of disclination and an external magnetic field, where graphene behaviors as a topological insulator. In the lowenergy limit, the effective field equation for graphene is described by a Dirac equation with three different degrees of freedom. We succeed to decouple the set of eight components of the Dirac equation by using the spin projector \hat{C} in the disclinated geometry. As consequence, we obtain the Landau levels in this framework, in which we note the emergence of zero modes as edge states due to the inversion symmetry breaking. We also note that for different sites in sublattices \mathcal{A/B}, one can have different values of gap width.
 Publication:

arXiv eprints
 Pub Date:
 July 2024
 DOI:
 10.48550/arXiv.2407.03947
 arXiv:
 arXiv:2407.03947
 Bibcode:
 2024arXiv240703947G
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 12 pages and 8 figures