Generalization of Chiral Symmetry for Tilted Dirac Cones
Mesoscale and Nanoscale Physics
2015-06-03 v1
Abstract
The notion of chiral symmetry for the conventional Dirac cone is generalized to include the tilted Dirac cones, where the generalized chiral operator turns out to be non-hermitian. It is shown that the generalized chiral symmetry generically protects the zero modes (n=0 Landau level) of the Dirac cone even when tilted. The present generalized symmetry is equivalent to the condition that the Dirac Hamiltonian is elliptic as a differential operator, which provides an explicit relevance to the index theorem.
Cite
@article{arxiv.1201.5175,
title = {Generalization of Chiral Symmetry for Tilted Dirac Cones},
author = {Tohru Kawarabayashi and Yasuhiro Hatsugai and Takahiro Morimoto and Hideo Aoki},
journal= {arXiv preprint arXiv:1201.5175},
year = {2015}
}
Comments
4 pages, 1 figure, to appear in the proceedings of the APCTP Conference on Localisation 2011