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19 April 2024
 
  » arxiv » cond-mat/0506575

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Unconventional Integer Quantum Hall effect in graphene
V.P. Gusynin ; S.G. Sharapov ;
Date 22 Jun 2005
Journal Phys.Rev.Lett. 95 (2005) 146801 DOI: 10.1103/PhysRevLett.95.146801
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall hep-ph
AbstractMonolayer 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 $sigma_{xy} = - (2 e^2/h)(2n+1)$ 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.
Source arXiv, cond-mat/0506575
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