Unconventional Integer Quantum Hall effect in graphene

2005/06/30 by V. P. Gusynin, S. G. Sharapov · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #hep-ph

paper · pdf · doi:10.1103/physrevlett.95.146801

published as Phys.Rev.Lett. 95 (2005) 146801 · 4 pages, RevTeX4, 2 EPS figures; version accepted for publication in Physical Review Letters

arxiv created 2005/08/16 · arxiv updated 2009/12/01

Abstract

Monolayer graphite films, or graphene, have quasiparticle excitations that can be described by 2+1 dimensional Dirac theory. We demonstrate that this produces an unconventional form of the quantized Hall conductivity σ_xy = - (2 e²/h)(2n+1) with n=0,1,..., that notably distinguishes graphene from other materials where the integer quantum Hall effect was observed. This unconventional quantization is caused by the quantum anomaly of the n=0 Landau level and was discovered in recent experiments on ultrathin graphite films.

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