• 文献标题:   One-parameter scaling at the dirac point in graphene
  • 文献类型:   Article
  • 作  者:   BARDARSON JH, TWORZYDLO J, BROUWER PW, BEENAKKER CWJ
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW LETTERS
  • ISSN:   0031-9007 EI 1079-7114
  • 通讯作者地址:   Leiden Univ
  • 被引频次:   207
  • DOI:   10.1103/PhysRevLett.99.106801
  • 出版年:   2007

▎ 摘  要

We numerically calculate the conductivity sigma of an undoped graphene sheet (size L) in the limit of a vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling function ss(sigma)=dln sigma/dlnL. Contrary to a recent prediction, the scaling flow has no fixed point (ss > 0) for conductivities up to and beyond the symplectic metal-insulator transition. Instead, the data support an alternative scaling flow for which the conductivity at the Dirac point increases logarithmically with sample size in the absence of intervalley scattering-without reaching a scale-invariant limit.