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

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dc.creatorGoswami, Pallab
dc.creatorJia, Xun
dc.creatorChakravarty, Sudip
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:41:12Z
dc.date.available2026-07-07T08:41:12Z
dc.descriptionWe investigate, analytically and numerically, the effects of disorder on the density of states and on the localization properties of the 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 disorders. 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.
dc.description18 pages and 11 figures
dc.identifierhttps://arxiv.org/abs/0706.3737
dc.identifierhttp://arxiv.org/abs/0706.3737
dc.identifierPhys. Rev. B 76, 205408 (2007).
dc.identifierdoi:10.1103/PhysRevB.76.205408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141607
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleQuantum Hall plateau transition in the lowest Landau level of disordered graphene
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