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 (20)

• Properties of Graphene: A Theoretical Perspective
• Spin and valley quantum Hall ferromagnetism in graphene
• Theory of resonant multiphonon Raman scattering in graphene
• Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models
• Density-Functional Theory of Graphene Sheets
• Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene
• Distant-Neighbor Hopping in Graphene and Haldane Models
• Metal to insulator transition on the N = 0 Landau level in graphene
• Magnetic properties of graphene quantum dots
• Giant Spin-Hall Effect induced by Zeeman Interaction in Graphene
• Origins of Nonlocality near the Dirac Point in Graphene
• Gate-Defined Graphene Quantum Point Contact in the Quantum Hall Regime
• Entanglement Skyrmions in multicomponent quantum Hall systems
• The spin-polarized $\nu =0$ state of graphene: a spin superconductor
• Robust helical edge transport at $\nu =0$ quantum Hall state
• Splitting of critical energies in the $n$=0 Landau level of graphene
• Electron spin relaxation in rippled graphene with low mobilities
• Dirac fermions in graphene and analogues: magnetic field and topological properties
• Gap opening in the zeroth Landau level in gapped graphene: Pseudo-Zeeman splitting in an angular magnetic field
• Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at $\nu =0$