• 文献标题:   Quantum Hall plateau transition in the lowest Landau level of disordered graphene
  • 文献类型:   Article
  • 作  者:   GOSWAMI P, JIA X, CHAKRAVARTY S
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121 EI 1550-235X
  • 通讯作者地址:   Univ Calif Los Angeles
  • 被引频次:   12
  • DOI:   10.1103/PhysRevB.76.205408
  • 出版年:   2007

▎ 摘  要

We investigate, analytically and numerically, the effects of disorder on the density of states and on the localization properties of relativistic two-dimensional fermions in the lowest Landau level. Employing a supersymmetric technique, we calculate the exact density of states for the Cauchy (Lorentzian) distribution for various types of disorder. We use a numerical technique to establish the localization-delocalization (LD) transition in the lowest Landau level. For some types of disorder, the LD transition is shown to belong to a different universality class, as compared to the corresponding nonrelativistic problem. The results are relevant to the integer quantum Hall plateau transitions observed in graphene.