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 σxy=−(2e2/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.
@article{arxiv.cond-mat/0506575,
title = {Unconventional Integer Quantum Hall effect in graphene},
author = {V. P. Gusynin and S. G. Sharapov},
journal= {arXiv preprint arXiv:cond-mat/0506575},
year = {2007}
}
Comments
4 pages, RevTeX4, 2 EPS figures; version accepted for publication in Physical Review Letters