Lattice-Induced Double-Valley Degeneracy Lifting in Magnetic Field in Graphene

Abstract

We show that the recently discovered double-valley splitting of the low-lying Landau level(s) in the Quantum Hall Effect in graphene can be explained as perturbative orbital interaction of intra- and inter-valley microscopic orbital currents with a magnetic field. This effect is provided by the translational-non-invariant terms corresponding to graphene's crystallographic honeycomb symmetry but do not exist in the relativistic theory of massless Dirac Fermions in Quantum Electrodynamics. We discuss recent data in view of these results.

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Cited by in corpus (8)

• Theory of resonant multiphonon Raman scattering in graphene
• Density-Functional Theory of Graphene Sheets
• Distant-Neighbor Hopping in Graphene and Haldane Models
• Metal to insulator transition on the N = 0 Landau level in graphene
• Gate-Defined Graphene Quantum Point Contact in the Quantum Hall Regime
• Entanglement Skyrmions in multicomponent quantum Hall systems
• Robust helical edge transport at $\nu =0$ quantum Hall state
• Splitting of critical energies in the $n$=0 Landau level of graphene