GENERALIZATION OF CHIRAL SYMMETRY FOR TILTED DIRAC CONES-Reference-Cited by-同舟云学术

GENERALIZATION OF CHIRAL SYMMETRY FOR TILTED DIRAC CONES

Published:2012-01 Issue: Volume:11 Page:145-150
ISSN:2010-1945
Container-title:International Journal of Modern Physics: Conference Series
language:en
Short-container-title:Int. J. Mod. Phys. Conf. Ser.

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

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010194512006046

Reference17 articles.

1. Integer quantum Hall transition: An alternative approach and exact results

2. Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures

3. Anderson transitions

4. Two-dimensional gas of massless Dirac fermions in graphene

5. Experimental observation of the quantum Hall effect and Berry's phase in graphene

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