Unconventional Integer Quantum Hall effect in graphene

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

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

References in corpus (3)

• Electric Field Effect in Atomically Thin Carbon Films
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations II: transport properties