Theory of integer quantum Hall effect in graphene

Abstract

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of Coulomb interaction on the scale of lattice constant. It is predicted that at a large in-plane component of the magnetic field such ordering will be present only at the filling factor |f|=1, and absent otherwise. Other experimental consequences of the theory are outlined.

5 pages, 2 figures, new paragraph on hierarchy of energy scales, new references, published version

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Cited by in corpus (126)

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• Electronic transport in two dimensional graphene
• Properties of Graphene: A Theoretical Perspective
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• Electronic Properties of Graphene in a Strong Magnetic Field
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Spin and valley quantum Hall ferromagnetism in graphene
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• Theory of interacting electrons on the honeycomb lattice
• Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Theory of Anomalous Quantum Hall Effects in Graphene
• Gap generation and semimetal-insulator phase transition in graphene
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• Supercritical Coulomb center and excitonic instability in graphene
• Field-induced Kosterlitz-Thouless transition in the N=0 Landau level of graphene
• 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
• Helical quantum Hall phase in graphene on SrTiO${}_3$
• Imaging tunable quantum Hall broken-symmetry orders in graphene
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Spontaneous Symmetry Breaking and Quantum Hall Effect in Graphene
• Majorana Zero Modes in Graphene
• STM Study of Quantum Hall Isospin Ferromagnetic States of Zero Landau Level in Graphene Monolayer
• 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
• Dynamics in the quantum Hall effect and the phase diagram of graphene
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Edge states, mass and spin gaps, and quantum Hall effect in graphene
• Theory of unconventional quantum Hall effect in strained graphene
• Broken SU(4) Symmetry and The Fractional Quantum Hall Effect in Graphene
• Experimental determination of the energy per particle in partially filled Landau levels
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Isospin of topological defects in Dirac systems
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries
• Multi-critical behavior of $Z_2\times O(2)$ Gross-Neveu-Yukawa theory in graphene
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
• Spin Superfluidity in the $\nu =0$ Quantum Hall State of Graphene
• Electronic properties of monolayer and bilayer 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
• Entanglement Skyrmions in multicomponent quantum Hall systems
• Landau level splittings, phase transitions, and non-uniform charge distribution in trilayer 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
• Tilted-Cone-induced easy-plane pseudo-spin ferromagnet and Kosterlitz-Thouless transition in massless Dirac fermions
• Odd integer quantum Hall effect in graphene
• Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
• The enigma of the nu=0 quantum Hall effect in graphene
• Magnetic Catalysis in AdS4
• Coupled charge and valley excitations in graphene quantum Hall ferromagnets
• Inhomogeneous magnetic catalysis on graphene's honeycomb lattice
• Toward theory of quantum Hall effect in graphene
• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• Zero-modes and global antiferromagnetism in strained graphene
• Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
• SU(4) Skyrmions in the $\nu =\pm 1$ Quantum Hall State of Graphene
• Classification of massive and gapless phases in bilayer graphene
• Edge structure of graphene monolayers in the ν = 0 quantum Hall state
• Theoretical expectations for a fractional quantum Hall effect in graphene
• Accurate Measurement of the Gap of Graphene/hBN Moiré Superlattice through Photocurrent Spectroscopy
• Quantum Hall ferromagnetism in graphene: a SU(4) bosonization approach
• Compact SQUID realized in a double layer graphene heterostructure
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Collective Edge Modes near the onset of a graphene quantum spin Hall state
• Theory of integer quantum Hall effect in insulating bilayer graphene
• Magnetic Catalysis in Graphene Effective Field Theory
• Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
• Zero-energy states of massive Dirac equation in magnetic fields
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Lifting of the Landau level degeneracy in graphene devices in a tilted magnetic field
• Magnetic field induced inequivalent vortex zero modes in strained graphene
• Spin-Valley Coherent Phases of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu =0$
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
• Scattering of magnons at graphene quantum-Hall-magnet junctions
• 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
• 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
• Quantum Hall Skyrmions at $\nu =0,\pm 1$ in monolayer graphene
• Spin-valley entangled quantum Hall states in graphene
• Theory of broken symmetry quantum Hall states in the $N=1$ Landau level of Graphene
• Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
• The Quantum Hall Effect in Graphene
• Gap opening in the zeroth Landau level in gapped graphene: Pseudo-Zeeman splitting in an angular magnetic field
• SO(8) Fermion Dynamical Symmetry and Strongly-Correlated Quantum Hall States in Monolayer Graphene
• Gap generation and phase diagram in strained graphene in a magnetic field
• Magnetic Phases in Periodically Rippled Graphene
• The Ground State of Monolayer Graphene in a Strong Magnetic Field
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Fractional quantum Hall coexistence phases in higher Landau levels of graphene
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Electronic zero modes of vortices in Hall states of gapped graphene
• Two-component parton fractional quantum Hall state in graphene
• Generalized Landau level representation: Effect of static screening in the quantum Hall effect in graphene
• Dirac Kondo effect under magnetic catalysis
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• First order phase transitions within Weyl type of materials at low temperatures
• Broken symmetry states in bilayer graphene in electric and in-plane 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
• Edge states in bilayer graphene in a magnetic field
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Transport in strained graphene: Interplay of Abelian and axial magnetic fields
• Collective excitations of fractional quantum Hall states in monolayer graphene
• Interacting quantum Hall states in a finite graphene flake and at finite temperature
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Anomalous Transport Gaps of Fractional Quantum Hall Phases in Graphene Landau Levels are Induced by Spin-Valley Entangled Ground States
• Microwave Imaging of Edge Conductivity in Graphene at Charge Neutrality and Quantum Hall States
• Uniquely identifying quantum Hall phases in charge neutral graphene
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene
• Chiral Symmetry and Many-Body Effect in Multilayer Graphene
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