• 文献标题:   Quantum critical scaling in magnetic field near the Dirac point in graphene
  • 文献类型:   Article
  • 作  者:   HERBUT IF, ROY B
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Simon Fraser Univ
  • 被引频次:   25
  • DOI:   10.1103/PhysRevB.77.245438
  • 出版年:   2008

▎ 摘  要

Motivated by the recent measurement of the activation energy at the quantum Hall state at the filling factor f=1 in graphene, we discuss the scaling of the interaction-induced gaps in the vicinity of the Dirac point with the magnetic field. The gap at f=1 is shown to be bounded from above by E(1)/C, where E(n)=v(F)root 2nB is the Landau-level energy and C=5.985+O(1/N) is a universal number. The universal scaling functions are computed exactly for a large number of Dirac fermions N. We find a sublinear dependence of the gap at the laboratory fields of 10 T < B < 50 T for realistic values of short-range repulsion between electrons, in quantitative agreement with observation.