Breakdown of Dirac Fermion Relativistic Invariance in Graphene: Orbital Zeeman Splitting in the Quantum Hall Effect

Authors:
  • ILIgor A. Luk'Yanchuk
    Igor A. Luk'Yanchuk
  • ABAlexander M. Bratkovsky
    Alexander M. Bratkovsky
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Abstract
Analogy between charge carriers in graphene and massless Dirac fermions in quantum electrodynamics (QED) has a restricted validity since the discrete hexagonal space group of Graphene is different from continuous Lorenz group in QED. We show that this difference provides the Zeeman-like interaction of inter-valley orbital currents with magnetic field that can be an origin of recently discovered valley splitting of n=0 Landau level in Quantum Hall effect.