Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-06-26
Phys. Rev. B 76, 205408 (2007).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
18 pages and 11 figures
Scientific paper
10.1103/PhysRevB.76.205408
We 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.
Chakravarty Sudip
Goswami Pallab
Jia Xun
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