GENERALIZATION OF CHIRAL SYMMETRY FOR TILTED DIRAC CONES

Author:

KAWARABAYASHI TOHRU1,HATSUGAI YASUHIRO2,MORIMOTO TAKAHIRO3,AOKI HIDEO3

Affiliation:

1. Department of Physics, Toho University, Miyama 2-2-1, Funabashi, 274-8510, Japan

2. Institute of Physics, University of Tsukuba, Tsukuba, 305-8571, Japan

3. Department of Physics, University of Tokyo, Hongo, Tokyo, 113-0033, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

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