Anomalous criticality at the n=0 quantum Hall transition in graphene: The role of disorder preserving chiral symmetry

Tohru Kawarabayashi, Takahiro Morimoto, Yasuhiro Hatsugai, and Hideo Aoki
Phys. Rev. B 82, 195426 – Published 12 November 2010

Abstract

We investigate numerically whether the chiral symmetry is the sole factor dominating the criticality of the quantum Hall transitions in disordered graphene. When the disorder respects the chiral symmetry, the plateau-to-plateau transition at the n=0 Landau level is shown to become anomalous (i.e., step functionlike). Surprisingly, however, the anomaly is robust against the inclusion of the uniform next-nearest-neighbor hopping, which degrades the chiral symmetry of the lattice models. We have also shown that the ac (optical) Hall conductivity exhibits a robust plateau structure when the disorder respects the chiral symmetry.

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  • Received 2 August 2010

DOI:https://doi.org/10.1103/PhysRevB.82.195426

©2010 American Physical Society

Authors & Affiliations

Tohru Kawarabayashi1, Takahiro Morimoto2, Yasuhiro Hatsugai3, and Hideo Aoki4

  • 1Department of Physics, Toho University, Funabashi 274-8510, Japan
  • 2Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan
  • 3Institute of Physics, University of Tsukuba, Tsukuba 305-8571, Japan
  • 4Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan

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Issue

Vol. 82, Iss. 19 — 15 November 2010

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