• 文献标题:   Fractional quantum Hall effect in graphene
  • 文献类型:   Article
  • 作  者:   SAHOO S, DAS S
  • 作者关键词:   fractional quantum hall effect, graphene, landau level, half effect
  • 出版物名称:   INDIAN JOURNAL OF PURE APPLIED PHYSICS
  • ISSN:   0019-5596 EI 0975-1041
  • 通讯作者地址:   Natl Inst Technol
  • 被引频次:   4
  • DOI:  
  • 出版年:   2009

▎ 摘  要

The electrons in most of the conductors can be described by non-relativistic quantum mechanics but the electrons in graphene behave as massless relativistic particles, called Dirac fermions, though their speed is given by the Fermi velocity. The relativistic nature of the energy dispersion relation of electrons in graphene modifies the inter electron interactions. This results in the observation of a number of peculiar properties e.g. anomalous quantum Hall effect. We study the fractional quantum Hall effect (FQHE) in graphene. The quantized Hall conductivity in graphene in FQHE is shown to be: sigma(xy) = +/- 2n + 1/nm(2n+1) + 1 2e(2)/h, where n = 0, 1, 2, 3 ... This fascinating result shows that the FQHE in graphene has a sequence of states which is different from the sequence found in the 2D electron gas.