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Phys. Rev. Lett. 95, 146801 (2005) [4 pages]

Unconventional Integer Quantum Hall Effect in Graphene

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V. P. Gusynin1,* and S. G. Sharapov2,†
1Bogolyubov Institute for Theoretical Physics, Metrologicheskaya Street 14-b, Kiev, 03143, Ukraine
2Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1

Received 26 June 2005; published 28 September 2005

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,…, which 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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.146801
DOI:
10.1103/PhysRevLett.95.146801
PACS:
73.43.Cd, 71.70.Di, 81.05.Uw

*Electronic address: vgusynin@bitp.kiev.ua

Electronic address: sharapov@bitp.kiev.ua