The Quantum Hall Effect in Graphene

Abstract

We investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice valley degeneracy only for the $n=0$ Landau levels and leads to the new observed $\nu =\pm 1$ quantum Hall plateaus. We suggest that our result can be tested by means of numerical simulations of planar Quantum Electro Dynamics with dynamical fermions in an external magnetic fields on the lattice.

9 pages, 2 figures, Mod. Phys. Lett. B 26 (2012) 1250084

References in corpus (8)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
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Cited by in corpus (4)

• Chiral Symmetry Breaking in Planar QED in External Magnetic Fields
• Anomalous Quantum Hall Effect of 4D Graphene in Background Fields
• Dynamical Gap Generation in Topological Insulators
• Pseudospin-one particles in the time-periodic dice lattice: A new approach to transport control