Excitonic gap, phase transition, and quantum Hall effect in graphene

Abstract

We suggest that physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field describes a phase transition connected with the generation of an excitonic gap. The experimental form of the Hall conductivity is reproduced and the main characteristics of the dynamics are described. Predictions of the behavior of the gap as a function of temperature and a gate voltage are made.

Revtex4, 10 pages, 4 figures, text essentially extended, one figure and references added; v3: to match PRB version

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Cited by in corpus (140)

• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Properties of Graphene: A Theoretical Perspective
• Electronic Properties of Graphene in a Strong Magnetic Field
• Magneto-optical conductivity in Graphene
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Electron transport in disordered graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Spin and valley quantum Hall ferromagnetism in graphene
• Novel effects of strains in graphene and other two dimensional materials
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• Midgap states and charge inhomogeneities in corrugated graphene
• Broken symmetry states and divergent resistance in suspended bilayer graphene
• Theory of interacting electrons on the honeycomb lattice
• Dissipative Quantum Hall Effect in Graphene near the Dirac Point
• Inverse magnetic catalysis in dense holographic matter
• Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Thermo-Plasma Polariton within Scaling Theory of Single-Layer Graphene
• Theory of integer quantum Hall effect in graphene
• Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
• Gravity Dual of a Quantum Hall Plateau Transition
• Magnetic Catalysis: A Review
• Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene
• New look at the QCD ground state in a magnetic field
• Theory of the Magnetic-Field-Induced Insulator in Neutral Graphene
• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
• Magnetoresistance measurements of Graphene at the Charge Neutrality Point
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Fermi Liquid Theory of a Fermi Ring
• Spontaneous Symmetry Breaking and Quantum Hall Effect in Graphene
• Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study
• STM Study of Quantum Hall Isospin Ferromagnetic States of Zero Landau Level in Graphene Monolayer
• (In-)Significance of the Anomalous Magnetic Moment of Charged Fermions for the Equation of State of a Magnetized and Dense Medium
• Inverse magnetic catalysis in field theory and gauge-gravity duality
• Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Engineering Weyl nodes in Dirac semimetals by a magnetic field
• Fractional and integer quantum Hall effects in the zeroth Landau level in graphene
• Intrinsic Zeeman Effect in Graphene
• Dynamics in the quantum Hall effect and the phase diagram of graphene
• Interaction-driven topological insulator states in strained graphene
• Electromagnetic response and effective gauge theory of graphene in a magnetic field
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• Dynamical polarization of monolayer graphene in a magnetic field
• Edge states, mass and spin gaps, and quantum Hall effect in graphene
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Composite Dirac fermions in graphene
• Magnetotransport and thermoelectricity in disordered graphene
• Spin Superfluidity in the $\nu =0$ Quantum Hall State of Graphene
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• Edge states on graphene ribbon in magnetic field: interplay between Dirac and ferromagnetic-like gaps
• Broken-symmetry $\nu =0$ quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
• Magnetic field driven instability of charged center in graphene
• Quantum critical scaling in magnetic field near the Dirac point in graphene
• The Influence of Remote Bands on Exciton Condensation in Double-Layer Graphene
• Supersymmetry and Correlated Electrons in Graphene Quantum Hall Effect
• Tilted-Cone-induced easy-plane pseudo-spin ferromagnet and Kosterlitz-Thouless transition in massless Dirac fermions
• Odd integer quantum Hall effect in graphene
• Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
• Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
• Magnetic Catalysis in AdS4
• Inhomogeneous magnetic catalysis on graphene's honeycomb lattice
• Coupled charge and valley excitations in graphene quantum Hall ferromagnets
• The enigma of the nu=0 quantum Hall effect in graphene
• Toward theory of quantum Hall effect in graphene
• Noncollinear magnetic phases and edge states in graphene quantum Hall bars
• Lattice-Induced Double-Valley Degeneracy Lifting in Magnetic Field in Graphene
• Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
• Classification of massive and gapless phases in bilayer graphene
• The spin-polarized $\nu =0$ state of graphene: a spin superconductor
• Paraelectricity in Magnetized Massless QED
• Effects of electron-phonon coupling on Landau levels in graphene
• Energy gaps at neutrality point in bilayer graphene in a magnetic field
• Quantum Hall ferromagnetism in graphene: a SU(4) bosonization approach
• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
• Collective Edge Modes near the onset of a graphene quantum spin Hall state
• Holographic fermions in external magnetic fields
• Quantum Spin Hall Effect in Twisted Bilayer Graphene
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Chiral symmetry and its manifestation in optical responses in graphene: interaction and multi-layers
• Magnetic Properties of Dirac Fermions in a Buckled Honeycomb Lattice
• Magnetic Catalysis and Quantum Hall Ferromagnetism in Weakly Coupled Graphene
• Lifting of the Landau level degeneracy in graphene devices in a tilted magnetic field
• Numerical simulation of graphene in external magnetic field
• Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu =0$
• Stacking-enriched magneto-transport properties of few-layer graphenes
• Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion
• Quantum Hall plateau transition in the lowest Landau level of disordered graphene
• Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
• Particle-Hole Asymmetry in Gapped Topological Insulator Surface States
• Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction
• Chiral condensate with topological degeneracy in graphene and its manifestation in edge states
• Emergence of helical edge conduction in graphene at the ν=0 quantum Hall state
• Semi-metal-insulator transition on the surface of a topological insulator with in-plane magnetization
• Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED
• A Hartree-Fock study of the $\nu =0$ quantum Hall state of monolayer graphene with short range interactions
• On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics
• Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene
• Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation
• Coulomb interaction and semimetal-insulator transition in graphene
• Observation of half-integer quantum Hall effect in single-layer graphene using pulse magnet
• The Quantum Hall Effect in Graphene
• Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
• Magnetic Field Effect in the Fine-Structure Constant and Electron Dynamical Mass
• Gap generation and phase diagram in strained graphene in a magnetic field
• Magnetic Phases in Periodically Rippled Graphene
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Magnetic catalysis in weakly interacting hyperbolic Dirac materials
• Lack of Debye and Meissner screening in strongly magnetized quark matter at intermediate densities
• Electronic zero modes of vortices in Hall states of gapped graphene
• Generalized Landau level representation: Effect of static screening in the quantum Hall effect in graphene
• Impurities in graphene and their influence on the Casimir interaction
• Dynamical Mass Generation of Composite Dirac Fermions and Fractional Quantum Hall Effects near Charge Neutrality in Graphene
• Conventional and unconventional anomalous velocities in multiband systems
• Dirac Kondo effect under magnetic catalysis
• Quantized Hall conductance in graphene by nonperturbative magnetic-field-containing relativistic tight-binding approximation method
• Integer Quantum Hall Effect of Interacting Electrons in Graphene
• Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics
• Broken symmetry states in bilayer graphene in electric and in-plane magnetic fields
• Edge states in bilayer graphene in a magnetic field
• Transport in strained graphene: Interplay of Abelian and axial magnetic fields
• Spin-resoloved chiral condensate as a spin-unpolarized ν=0 quantum Hall state in graphene
• Charge density wave in graphene: magnetic-field-induced Peierls instability
• The selection rule of graphene in a composite magnetic field
• Orbital magnetization of interacting Dirac fermions in graphene
• Photonic band-gap transmission map of graphene in a defective optical structure
• Collective excitations of fractional quantum Hall states in monolayer graphene
• Parity anomaly with impurities and the Pauli--Villars subtraction
• Interacting quantum Hall states in a finite graphene flake and at finite temperature
• Chiral Symmetry and Many-Body Effect in Multilayer Graphene
• Remarks on classical pseudo-electrodynamics
• The Lee-Wick-Chern-Simons pseudo-quantum electrodynamics
• Effective potential of scalar Lee-Wick pseudo-electrodynamics
• Resonant optical gating of suspended carbon nanotube transistor
• Non-Adhesive Transfer Process of Carbon Nanotube Forests onto Flexible Kapton Substrates