Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level

Details Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level

2009-08-28

arxiv.org/abs/0908.4134v1

Physica E42 (2010) 759-762

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures, submitted to EP2DS-18 Conference proceedings

Scientific paper

10.1016/j.physe.2009.10.012

Broadening of the Landau levels in graphene and the associated quantum Hall plateau-to-plateau transition are investigated numerically. For correlated bond disorder, the graphene-specific n=0 Landau level of the Dirac fermions becomes anomalously sharp accompanied by the Hall transition exhibiting a fixed-point-like criticality. Similarly anomalous behavior for the n=0 Landau level is also shown to occur in correlated random magnetic fields, which suggests that the anomaly is generic to disorders that preserve the chiral symmetry.

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