• 文献标题:   Anomalous criticality at the n=0 quantum Hall transition in graphene: The role of disorder preserving chiral symmetry
  • 文献类型:   Article
  • 作  者:   KAWARABAYASHI T, MORIMOTO T, HATSUGAI Y, AOKI H
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Toho Univ
  • 被引频次:   8
  • DOI:   10.1103/PhysRevB.82.195426
  • 出版年:   2010

▎ 摘  要

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.