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Unconventional integer quantum Hall effect in graphene.

V P Gusynin1, S G Sharapov

  • 1Bogolyubov Institute for Theoretical Physics, Metrologicheskaya Street 14-b, Kiev, 03143, Ukraine. vgusynin@bitp.kiev.ua

Physical Review Letters
|October 26, 2005
PubMed
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Graphene exhibits unique quantized Hall conductivity due to its Dirac theory, differing from other materials. This unconventional effect stems from a quantum anomaly in the n=0 Landau level, confirmed by recent experiments.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Graphene, a monolayer of graphite, exhibits unique electronic properties.
  • Quasiparticle excitations in graphene can be modeled using (2+1)-dimensional Dirac theory.
  • The integer quantum Hall effect is a well-established phenomenon in other materials.

Purpose of the Study:

  • To investigate the quantized Hall conductivity in monolayer graphene.
  • To explain the unconventional form of quantized Hall conductivity observed in graphene.
  • To highlight the distinctions between graphene's quantum Hall effect and that of other materials.

Main Methods:

  • Theoretical modeling using (2+1)-dimensional Dirac theory.
  • Analysis of quasiparticle excitations in graphene.

Related Experiment Videos

  • Comparison with experimental results on ultrathin graphite films.

    • Main Results:

    • Graphene displays an unconventional quantized Hall conductivity formula: sigma(xy) = -(2e2/h)(2n+1).
    • This quantization differs from the standard integer quantum Hall effect observed in other systems.
    • The quantum anomaly of the n=0 Landau level is identified as the cause of this unconventional behavior.

    Conclusions:

    • The observed quantized Hall conductivity in graphene is a direct consequence of its unique electronic structure and quantum anomalies.
    • Graphene's behavior provides a novel platform for studying quantum phenomena.
    • Recent experimental findings on ultrathin graphite films validate these theoretical predictions.