Theory of anomalous quantum Hall effects in graphene

2007/12/04 by P. M. Ostrovsky, I. V. Gornyi, A. D. Mirlin · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Graphene research and applications #Low-power high-performance VLSI design #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.77.195430

published as Phys. Rev. B 77, 195430 (2008) · 13 pages (article + supplementary material), 5 figures

arxiv created 2007/12/04 · openalex publication_date 2008/05/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a theory of anomalous quantum Hall effects in graphene. We demonstrate that the Landau level structure by itself is not sufficient to determine the form of the quantum Hall effect. It is only a special symmetry of disorder that gives rise to anomalous quantization of Hall conductivity in graphene. We analyze the symmetries of disordered single- and double-layer graphene samples in magnetic field and identify the conditions for anomalous Hall quantization.

Citations

• Molti passi avanti ma resta da fare una lunga strada
• Electric Field Effect in Atomically Thin Carbon Films
• Quantum Hall plateau transition in the lowest Landau level of disordered graphene
• Path integral for gauge theories with fermions

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• Narrow depression in the density of states at the Dirac point in disordered graphene