• 文献标题:   Dissipation and criticality in the lowest Landau level of graphene
  • 文献类型:   Article
  • 作  者:   JIA X, GOSWAMI P, CHAKRAVARTY S
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW LETTERS
  • ISSN:   0031-9007
  • 通讯作者地址:   Univ Calif Los Angeles
  • 被引频次:   12
  • DOI:   10.1103/PhysRevLett.101.036805
  • 出版年:   2008

▎ 摘  要

The lowest Landau level of graphene is studied numerically by considering a tight-binding Hamiltonian with disorder. The Hall conductance sigma(xy) and the longitudinal conductance sigma(xx) are computed. We demonstrate that bond disorder can produce a plateaulike feature centered at v = 0, while the longitudinal conductance is nonzero in the same region, reflecting a band of extended states between +/-E(c), whose magnitude depends on the disorder strength. The critical exponent corresponding to the localization length at the edges of this band is found to be 2.47 +/- 0.04. When both bond disorder and a finite mass term exist the localization length exponent varies continuously between similar to 1.0 and similar to 7/3.