Dissipation and criticality in the lowest Landau level of graphene

Xun Jia, Pallab Goswami, Sudip Chakravarty

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The lowest Landau level of graphene is studied numerically by considering a tight-binding Hamiltonian with disorder. The Hall conductance σxy and the longitudinal conductance σxx are computed. We demonstrate that bond disorder can produce a plateaulike feature centered at ν=0, while the longitudinal conductance is nonzero in the same region, reflecting a band of extended states between ±Ec, whose magnitude depends on the disorder strength. The critical exponent corresponding to the localization length at the edges of this band is found to be 2.47±0.04. When both bond disorder and a finite mass term exist the localization length exponent varies continuously between ∼1.0 and ∼7/3.

Original languageEnglish (US)
Article number036805
JournalPhysical Review Letters
Issue number3
StatePublished - Jul 16 2008

ASJC Scopus subject areas

  • General Physics and Astronomy


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