Unconventional Integer Quantum Hall effect in graphene

Details Unconventional Integer Quantum Hall effect in graphene Unconventional Integer Quantum Hall effect in graphene

2005-06-22

arxiv.org/abs/cond-mat/0506575v2

Phys.Rev.Lett. 95 (2005) 146801

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, RevTeX4, 2 EPS figures; version accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.95.146801

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 $\sigma_{xy} = - (2 e^2/h)(2n+1)$ 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.

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