Chiral Symmetry Breaking in Planar QED in External Magnetic Fields

Abstract

We investigate planar quantum electrodynamics (QED) with two degenerate staggered fermions in an external magnetic field on the lattice. We argue that in external magnetic fields there is dynamical generation of mass for two-dimensional massless Dirac fermions in the weak-coupling region. We extrapolate our lattice results to the quantum Hall effect in graphene.

8 pages, 4 figures, accepted for publication in Physical Review D

References in corpus (10)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Landau Level Splitting in Graphene in High Magnetic Fields
• The QCD phase diagram for external magnetic fields
• Is graphene in vacuum an insulator?
• QCD Phase Transition in a Strong Magnetic Background
• Lattice field theory simulations of graphene
• Magnetic monopole plasma phase in (2+1)d compact quantum electrodynamics with fermionic matter
• The Quantum Hall Effect in Graphene

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• Numerical simulation of graphene in external magnetic field
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Applications of lattice QCD techniques for condensed matter systems
• Anisotropy of the superconducting fluctuations in multiband superconductors: the case of LiFeAs
• Magnetic excitations in the normal and nematic phases of iron pnictides