Unconventional Integer Quantum Hall effect in graphene

Abstract

Monolayer graphite films, or graphene, have quasiparticle excitations that can be described by 2+1 dimensional Dirac theory. We demonstrate that this produces an unconventional form of the quantized Hall conductivity ${\sigma }_{xy}=-(2e^2/h)(2n+1)$ with $n=0,1,...$, that notably distinguishes graphene from other materials where the integer quantum Hall effect was observed. This unconventional quantization is caused by the quantum anomaly of the $n=0$ Landau level and was discovered in recent experiments on ultrathin graphite films.

4 pages, RevTeX4, 2 EPS figures; version accepted for publication in Physical Review Letters

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Cited by in corpus (590)

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• Towards Graphene Nanoribbon-based Electronics
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• Composite Dirac fermions in graphene
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• Quantum Field Theory in Graphene
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• Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene
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• Magnetotransport and thermoelectricity in disordered graphene
• Quantum Oscillations in Nodal Line Systems
• Spin Superfluidity in the $\nu =0$ Quantum Hall State of Graphene
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• Quantum Hall effect in bilayer and multilayer graphenes with finite gate voltage
• Coupled charge and valley excitations in graphene quantum Hall ferromagnets
• The enigma of the nu=0 quantum Hall effect in graphene
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• The Quantum Hall Effect in Graphene: Emergent Modular Symmetry and the Semi-circle Law
• Toward theory of quantum Hall effect in graphene
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• Noncollinear magnetic phases and edge states in graphene quantum Hall bars
• Magneto-optical effects in the Landau level manifold of 2D lattices with spin-orbit interaction
• Confined Dirac Fermions in a Constant Magnetic Field
• Lattice-Induced Double-Valley Degeneracy Lifting in Magnetic Field in Graphene
• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• Hofstadter butterflies and magnetically induced band gap quenching in graphene antidot lattices
• Cooper-pair propagation and superconducting correlations in graphene
• Interplay between lattice-scale physics and the quantum Hall effect in graphene
• Gate-induced Dirac cones in multilayer graphenes
• Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
• Dirac fermion quantization on graphene edges: Isospin-orbit coupling, zero modes and spontaneous valley polarization
• Coherent nonlinear optical response of graphene in the quantum Hall regime
• Electronic optics in graphene in the semiclassical approximation
• A Noncommutative Space Approach to Confined Dirac Fermions in Graphene
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Quantum chaos in disordered graphene
• Tight-binding study of the magneto-optical properties of gapped graphene
• Massive Dirac fermions and the zero field quantum Hall effect
• Quantum Hall effect in graphene with twisted bilayer stripe defects
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• Electromagnetic response and pseudo-zero-mode Landau levels of bilayer graphene in a magnetic field
• Current-voltage characteristics of a graphene nanoribbon field-effect transistor
• Vortex and gap generation in gauge models of graphene
• Plateau insulator transition in graphene
• Scattering by linear defects in graphene: a continuum approach
• Chiral orbital current and anomalous magnetic moment in gapped graphene
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• Chiral Symmetry Restoration in Anisotropic QED(3)
• Valley polarization effects on the localization in graphene Landau levels
• Magnetoresistive effect in graphene nanoribbon due to magnetic field induced band gap modulation
• Topological aspect of graphene physics
• Graphene and non-Abelian quantization
• Enhanced Andreev reflection in gapped graphene
• Zero modes, energy gap, and edge states of anisotropic honeycomb lattice in a magnetic field
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
• Quantum Hall ferromagnetism in graphene: a SU(4) bosonization approach
• Periodically modulated geometric and electronic structure of graphene on Ru(0001)
• Dirac Fermions in Graphite: the State of Art
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• Critical currents in graphene Josephson junctions
• Topological Phase Transitions and Quantum Hall Effect in the Graphene Family
• Finite-temperature relativistic Landau problem and the relativistic quantum Hall effect
• Graphene based superconducting quantum point contacts
• Quantum Hall studies of a Semi-Dirac Nanoribbon
• Holographic fermions in external magnetic fields
• Charge confinement and Klein tunneling from doping graphene
• Theory of integer quantum Hall effect in insulating bilayer graphene
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• Magnetic Catalysis in Graphene Effective Field Theory
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• Orbital magnetic susceptibility of finite-sized graphene
• Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
• Anomalous Quantum Hall Effect on Sphere
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• Generalized Peierls substitution for the tight-binding model of twisted multilayer graphene in a magnetic field
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• Electron-phonon bound states in graphene in a perpendicular magnetic field
• Broken-Symmetry States of Dirac Fermions in Graphene with A Partially Filled High Landau Level
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• Quantum Phase Transition in Hall Conductivity on an Anisotropic Kagome Lattice
• Gauge Covariance Relations and the Fermion Propagator in Maxwell-Chern-Simons QED3
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• Thermal quantum correlations and Teleportation in a Graphene Sheet
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• RKKY Interactions in Graphene Landau Levels
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Magnonic Floquet Hofstadter Butterfly
• $\bar{\psi }\psi$-condensate in constant magnetic fields
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• Controlled engineering of spin polarized transport properties in a zigzag graphene nanojunction
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• Effects of quantum deformation on the integer quantum Hall effect
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• Effects of a tilted magnetic field in a Dirac double layer
• Impurity assisted nanoscale localization of plasmonic excitations in graphene
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• Edge magnetotransport in graphene: A combined analytical and numerical study
• QED3 at Finite Temperature and Density
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• Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED
• Hofstadter Problem on the Honeycomb and Triangular Lattices: Bethe Ansatz Solution
• Electric-field induced penetration of edge states at the interface between monolayer and bilayer graphene
• Scaling properties of induced density of chiral and non-chiral Dirac fermions in magnetic fields
• Induced chiral Dirac fermions in graphene by a periodically modulated magnetic field
• Bose-Einstein condensation of quasiparticles in graphene
• Parity Symmetry in QED3
• Intrinsic spin Hall effect in graphene: Numerical calculations in a multi-orbital mode
• Equilibration of quantum hall edge states and its conductance fluctuations in graphene p-n junctions
• Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation
• The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Coulomb interactions, Dirac sea polarization and $SU(4)$ symmetry breaking of the integer quantum Hall states of graphene
• Superconductivity of electron-hole pairs in a bilayer graphene system in a quantizing magnetic field
• Single Dirac-Cone State and Quantum Hall Effects in Honeycomb Structure
• Effects of a continuous quantum measurement on the electric conductivity: Application to graphene
• Magnetic-flux-driven topological quantum phase transition and manipulation of perfect edge states in graphene tube
• Quantum Hall effect in graphene: A functional determinant approach
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Unconventional quasiparticle lifetime in undoped graphene
• Non-volatile memory and IR radiation modulators based upon graphene-on-ferroelectric substrate. A review
• Magneto-transport of graphene and quantum phase transitions in the quantum Hall regime
• Electron Scattering in Gapped Graphene Quantum Dots
• Aharonov-Bohm effect in relativistic and nonrelativistic 2D electron gas: a comparative study
• Quantized Faraday effect in (3+1)-dimensional and (2+1)-dimensional systems
• Dyson-Schwinger approach to strongly coupled theories
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• PAW mediated ab initio simulations on linear response phonon dynamics of anisotropic black phosphorous monolayer for thermoelectric applications
• Band Structures of Symmetrical Graphene Superlattice with Cells of three Regions
• Abelian Chern-Simons Theory for the Fractional Quantum Hall Effect in Graphene
• Probing Half-odd Topological Number with Cold Atoms in a Non-Abelian Optical Lattice
• Voltage induced switching of an antiferromagnetically ordered topological Dirac semimetal
• Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections
• Manifesting pseudo-spin polarization on the edge of graphene via field emission image
• Unconventional charge and spin dependent transport properties of a graphene nanoribbon with line-disorder
• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Light absorption in deformed graphene
• Phase diagram for quantum Hall states in graphene
• High-field Studies on Layered Magnetic and Polar Dirac Metals
• Static structure factor for graphene in a magnetic field
• Topological states in the Hofstadter model on a honeycomb lattice
• Weiss oscillations in the electronic structure of modulated graphene
• Gap generation and phase diagram in strained graphene in a magnetic field
• Effect of Berry Phase on Nonlinear Response of Two-dimensional Fermions
• Magnetic chains on a triplet superconductor
• A quantum critical superconducting phase transition in quasi-two-dimensional systems with Dirac electrons
• Charge and spin Hall effect in graphene with magnetic impurities
• Gap opening in the zeroth Landau level in gapped graphene: Pseudo-Zeeman splitting in an angular magnetic field
• Hall viscosity and nonlocal conductivity of "gapped graphene"
• Anomalous optical saturation of low-energy Dirac states in graphene and its implication for nonlinear optics
• Magneto-oscillations on specific heat of graphene monolayer
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Keldysh functional renormalization group for electronic properties of graphene
• Signatures of Rashba Spin-Orbit Interaction in Charge and Spin Properties of Quantum Hall Systems
• Transport Properties through Double Barrier Structure in Graphene
• Casimir forces in the flatland: interplay between photo-induced phase transitions and quantum Hall physics
• Photoinduced electronic and spin properties of two-dimensional electron gases with Rashba spin-orbit coupling under perpendicular magnetic fields
• Effect of Strain on Band Engineering in Gapped Graphene
• Endemic Infrared Divergences in QED3 at Finite Temperature
• Terahertz radiation from accelerating charge carriers in graphene under ultrafast photoexcitation
• Spectrum of edge states in the $\nu =0$ quantum Hall phases in graphene
• Integer Quantum Hall Effect in Graphene Channel with p-n Junction at Domain Wall in Ferroelectric Substrate
• Tuning quantum reflection in graphene with an external magnetic field
• Dielectric screening of surface states in a topological insulator
• Renormalized Landau Levels and Particle-Hole Symmetry in Graphene
• Bilayer graphene Hall bar with a pn-junction
• Integer Quantum Hall Effect in Graphene
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
• Transmission in strained graphene subjected to laser and magnetic fields
• Triply degenerate nodal lines in topological and non-topological metals
• Hall and spin Hall viscosity ratio in 2d topological insulators
• Crossover from Room-temperature Double-channel Ballistic Transport to Single-channel Ballistic Transport in Zigzag Graphene Nanoribbons
• Calculation of the staggered spin correlation in the framework of the Dyson-Schwinger approach
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry
• Transport Properties for Triangular Barriers in Graphene
• Suppression of magnetotransport in strongly disordered graphene
• Absence of edge states at armchair edges in inhomogeneously strained graphene under a pseudomagnetic field
• Thermodynamic properties of the electron gas in multilayer graphene in the presence of a perpendicular magnetic field
• Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet
• NMR parameters in gapped graphene systems
• Chiral properties of graphene h-BN hybrid systems
• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Spin Configurations and Activation Gaps of the Quantum Hall States in Graphene
• Layer-resolved conductivities in multilayer graphenes
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Strain Effect on Transmission in Graphene Laser Barrier
• Effect of strain on tunneling time in graphene magnetic barrier
• Lithium Intercalation in Graphene/MoS2 Composites: First-Principles Insights
• Magnetic field effect on tunneling through triple barrier in AB bilayer graphene
• Bound states of charges on top of graphene in magnetic field
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene nanoribbons
• Thermodynamic properties of the 2+1-dimensional Dirac fermions with broken time-reversal symmetry
• Relativistic persistent currents in ideal Aharonov-Bohm rings
• Anisotropic resistivity of the monolayer graphene in the trigonal warping and connected Fermi curve regimes
• Electronic and optical properties in graphane
• Effect of Perturbative Hexagonal Warping on Quantum Capacitance in Ultra-Thin Topological Insulators
• Generalized Landau level representation: Effect of static screening in the quantum Hall effect in graphene
• 2D massless QED Hall half-integer conductivity and graphene
• Study of edge states and conductivity in spin-orbit coupled bilayer graphene
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Graphene/g-C2N bilayer:gap opening, enhanced visible light response and electrical field tuning band structure
• Theory of ballistic quantum transport in presence of localized defects
• Transmission coefficient through a saddle-point electrostatic potential for graphene in the quantum Hall regime
• Spin-1/2 Landau levels in the symmetric gauge from the zero energy modes
• Two-dimensional Dirac fermion in presence of an asymmetric vector potential
• Integer quantum Hall effect in AAA-stacked trilayer graphene
• Conventional and unconventional anomalous velocities in multiband systems
• Tuned gap in graphene through laser barrier
• Deep-learning design of graphene metasurfaces for quantum control and Dirac electron holography
• Fractional Quantum Hall States in Graphene
• Quantized Hall conductance in graphene by nonperturbative magnetic-field-containing relativistic tight-binding approximation method
• Hofstadter butterflies in magnetically modulated graphene bilayer: an algebraic approach
• Effect of gauge boson mass on the phase structure of QED${}_3$
• Non-Hermitian reshaping of high-order Landau modes
• Magneto-Seebeck coefficient of Fermi-liquid in three-dimensional Dirac/Weyl semimetal
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Kramers-Kronig relation of graphene conductivity
• The quantum Hall effect at a weak magnetic field
• Magnetic adatoms in two and four terminal graphene nanoribbons: A comparison between their spin polarized transport
• Relativistic currents on ideal Aharonov-Bohm cylinders
• Effects of domain walls in bilayer graphene in an external magnetic field
• Quantum Hall Effect of Massless Dirac Fermions and Free Fermions in Hofstadter's Butterfly
• On the (im)possibility of Casimir repulsion between Chern-Simons surfaces
• Maximum intrinsic spin-Hall conductivity in two-dimensional systems with k-linear spin-orbit interaction
• Graphene, Nobel Prize and All that Jazz
• Edge magnetoplasmons in a wide armchair graphene ribbon with a weak superlattice potential: finite frequency gaps and zero group velocity
• Contact conductance between graphene and quantum wires
• Excitonic physics in a Dirac quantum dot
• Time-reversal odd transport in bilayer graphene: Hall conductivity and Hall viscosity
• Dynamical diffusion and renormalization group equation for the Fermi velocity in doped graphene
• Graphene: Junctions and STM Spectra
• Bound states for massive Dirac fermions in graphene in a magnetic step field
• Suppression of Weiss oscillations in the magnetoconductivity of modulated graphene monolayer
• Unconventional transport properties in systems with triply degenerate quadratic band crossings
• Influence of a uniform magnetic field on dynamical chiral symmetry breaking in QED${}_3$
• Anderson Transition in Disordered Bilayer Graphene
• Dots and Boxes Algorithm for Peierls Substitution: Application to Multidomain Topological Insulators
• Functionalized Graphene in Quantizing Magnetic Field: The case of bunched impurities
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Tunneling in ABC trilayer graphene superlattice
• Transport properties in ABC-ABA-ABC trilayer graphene junctions
• Anomalous Transition Magnetic Moments in two-dimensional Dirac Materials
• Thermodynamic properties of a magnetically modulated graphene
• Transport in strained graphene: Interplay of Abelian and axial magnetic fields
• Charge density wave in graphene: magnetic-field-induced Peierls instability
• Unconventional quantum Hall effect in Floquet topological insulators
• Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation
• Tunable signal velocity in the integer quantum Hall effect of tailored graphene
• Role of electrical field in quantum Hall effect of graphene
• Topologically induced fractional Hall steps in the integer quantum Hall regime of $Mo{S}_2$
• Anomalous Bloch oscillation and electrical switching of edge magnetization in bilayer graphene nanoribbon
• Magnetothermoelectric transport in modulated and unmodulated graphene
• Collective excitations of fractional quantum Hall states in monolayer graphene
• Confined Dirac Particles in Constant and Tilted Magnetic Field
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
• Quantization and quantum oscillations of the sublattice charge order in Dirac insulators
• Magnetotransport properties of an unconventional Rashba spin-orbit coupled two-dimensional electronic system
• Dirac equation for quasi-particles in graphene and quantum field theory of their Coulomb interaction
• Universal Landauer conductance in chiral symmetric 2d systems
• Aharonov-Bohm rings in de Sitter expanding universe
• Spin and electric currents induced by a spin-motive force in two-dimensional Dirac semimetals protected by nonsymmorphic symmetries
• Electronic orbital angular momentum and magnetism of graphene
• Interacting quantum Hall states in a finite graphene flake and at finite temperature
• Nontrivial magnetic field related phenomena in the single-layer graphene on ferroelectric substrate
• Localization and entanglement characterization of edge states in HgTe quantum wells in a finite strip geometry
• Non-Adhesive Transfer Process of Carbon Nanotube Forests onto Flexible Kapton Substrates
• Dirac points in helically structured 1D photonic crystals
• Bag boundaries for quasispinor confinement within nanolanes on a graphene sheet
• Quantum Hall conductance of two-terminal graphene devices
• Resonant optical gating of suspended carbon nanotube transistor
• A simple method to produce almost perfect graphene on highly oriented pyrolytic graphite
• Anomalous Currents on Closed Surfaces: Extended Proximity, Partial Quantization, and Qubits
• Renormalization group analysis of weakly interacting van der Waals Fermi system
• Quantum transport of pseudospin-polarized Dirac fermions in gapped graphene nanostructures
• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• Klein tunneling through triple barrier in AB bilayer graphene
• Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices
• Parity anomaly from LSM: exact valley symmetries on the lattice