Contributed TalksOpen Access

GENERALIZATION OF CHIRAL SYMMETRY FOR TILTED DIRAC CONES

TOHRU KAWARABAYASHI

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

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YASUHIRO HATSUGAI

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

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TAKAHIRO MORIMOTO

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

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, and

HIDEO AOKI

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

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https://doi.org/10.1142/S2010194512006046Cited by:9 (Source: Crossref)

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.

Keywords:

PACS: 73.43.-f, 11.30.Rd, 73.61.Ph

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