Quantum Hall plateau transition in the lowest Landau level of disordered graphene

Pallab Goswami, Xun Jia, Sudip Chakravarty

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Abstract

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.

Original languageEnglish (US)
Article number205408
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number20
DOIs
StatePublished - Nov 8 2007

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ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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