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

Tohru Kawarabayashi; Yasuhiro Hatsugai; Hideo Aoki

doi:10.1016/j.physe.2009.10.012

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arXiv · 0908.4134

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

Tohru Kawarabayashi·Yasuhiro Hatsugai·Hideo Aoki

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Abstract

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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Tohru Kawarabayashi, Yasuhiro Hatsugai, Hideo Aoki. 2009-08-28. Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level. https://doi.org/10.1016/j.physe.2009.10.012

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