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Unconventional Integer Quantum Hall effect in graphene

V. P. Gusynin·S. G. Sharapov
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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 $σ_{xy} = - (2 e^2/h)(2n+1)$ 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.

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V. P. Gusynin, S. G. Sharapov. 2005-08-16. Unconventional Integer Quantum Hall effect in graphene. https://doi.org/10.1103/physrevlett.95.146801

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