Spontaneous Symmetry Breaking and Quantum Hall Effect in Graphene
arXiv:cond-mat/0703757 · doi:10.1016/j.ssc.2007.03.051
Abstract
In this article we briefly review recent experimental and theoretical work on quantum Hall effect in graphene, and argue that some of the quantum Hall states exhibit spontaneous symmetry breaking that is driven by electron-electron interaction. We will also discuss how to experimentally determine the actual manner in which symmetry breaking occurs, and detect the collective charge and neutral excitations associated with symmetry breaking. Other issues will also be briefly mentioned.
Invited short review to appear in a special issue of Solid State Communications; 6 pages. v3: References updated; final version as appeared in print
References in corpus (55)
- Electric Field Effect in Atomically Thin Carbon Films
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
- Room-Temperature Quantum Hall Effect in Graphene
- Electronic Properties of Disordered Two-Dimensional Carbon
- Electronic States of Graphene Nanoribbons
- Unconventional Integer Quantum Hall effect in graphene
- Quantum Hall Ferromagnetism in Graphene
- Landau Level Splitting in Graphene in High Magnetic Fields
- Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
- Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect
- Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
- Magnetic field-induced insulating behavior in highly oriented pyrolitic graphite
- Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
- Evidence of Skyrmion excitations about in n-Modulation Doped Single Quantum Wells by Inter-band Optical Transmission
- Electron interactions in graphene in a strong magnetic field
- Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
- Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
- Excitonic gap, phase transition, and quantum Hall effect in graphene
- Edge and Surface States in the Quantum Hall Effect in Graphene
- Theory of integer quantum Hall effect in graphene
- The Fractional Quantum Hall States of Dirac Electrons in Graphene
- Quantum Hall Effect of Dirac Fermions in Graphene: Disorder Effect and Phase Diagram
- Spontaneous parity breaking of graphene in the quantum Hall regime
- Fractional Quantum Hall Effect in Graphene
- Reconstruction of Fractional Quantum Hall Edges
- Giant Low Temperature Heat Capacity of GaAs Quantum Wells near Landau Level Filling =1
- Luttinger Liquid at the Edge of a Graphene Vacuum
- Edge reconstruction in the fractional quantum Hall regime
- Field Theoretical Description of Quantum Hall Edge Reconstruction
- Spontaneous Interlayer Coherence in Double-Layer Quantum Hall Systems: Symmetry Breaking Interactions, In-Plane Fields and Phase Solitons
- Floating of Extended States and Localization Transition in a Weak Magnetic Field
- Fractional Quantum Hall Effect Measurements at Zero g-Factor
- Observation of Quantum Hall Valley Skyrmions
- Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
- Phase Diagram for Quantum Hall Bilayers at
- Quantum Hall effect and the topological number in graphene
- Evidence for Skyrmion crystallization from NMR relaxation experiments
- SU(N) Quantum Hall Skyrmions
- Delocalization of electrons in a Random Magnetic Field
- Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness
- Critical Behavior of Nuclear-Spin Diffusion in GaAs/AlGaAs Heterostructures near Landau Level Filling ν=1
- Composite Dirac fermions in graphene
- Noncommutative Geometry, Extended W(infty) Algebra and Grassmannian Solitons in Multicomponent Quantum Hall Systems
- Heat Capacity Evidence for the Suppression of Skyrmions at Large Zeeman Energy
- Skyrmions in Higher Landau Levels
- Band Collapse and the Quantum Hall Effect in Graphene
- Grassmannian Fields and Doubly Enhanced Skyrmions in Bilayer Quantum Hall system at
- Topological Solitons in Noncommutative Plane and Quantum Hall Skyrmions
- Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets
- Mesoscopic Effects in the Quantum Hall Regime
- Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry
Cited by in corpus (56)
- Electronic transport in two dimensional graphene
- Properties of Graphene: A Theoretical Perspective
- Observation of the Fractional Quantum Hall Effect in Graphene
- Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
- AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
- The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
- The zero-energy state in graphene in a high magnetic field
- Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
- Topological Berry phase and semiclassical quantization of cyclotron orbits for two dimensional electrons in coupled band models
- Phase diagram for the quantum Hall state in monolayer graphene
- Symmetry breaking of the zero energy Landau level in bilayer graphene
- Excitonic condensation of massless fermions in graphene bilayers
- Controllable spin transport in ferromagnetic graphene junctions
- Interaction-induced shift of the cyclotron resonance of graphene using infrared spectroscopy
- Electrically tunable gauge fields in tiny-angle twisted bilayer graphene
- Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
- Measurement of the ν= 1/3 fractional quantum Hall energy gap in suspended graphene
- SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in 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
- Edge states, mass and spin gaps, and quantum Hall effect in graphene
- Anomalous transport properties of Dirac and Weyl semimetals
- The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries
- Spin and valley transports in junctions of Dirac fermions
- Broken-symmetry quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
- Transconductance fluctuations as a probe for interaction induced quantum Hall states in graphene
- Quantum critical scaling in magnetic field near the Dirac point in graphene
- Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
- Heat transport by Dirac fermions in normal/superconducting graphene junctions
- Coulomb impurity under magnetic field in graphene: a semiclassical approach
- The enigma of the nu=0 quantum Hall effect in graphene
- Toward theory of quantum Hall effect in graphene
- Realizing Universal Edge Properties in Graphene Fractional Quantum Hall Liquids
- Interplay between lattice-scale physics and the quantum Hall effect in graphene
- Lattice-Induced Double-Valley Degeneracy Lifting in Magnetic Field in Graphene
- Classification of massive and gapless phases in bilayer graphene
- Plateau insulator transition in graphene
- Magnetic Catalysis in Graphene Effective Field Theory
- Electron-hole coexistence in disordered graphene probed by high-field magneto-transport
- Anomalous Quantum Hall Effect on Sphere
- Lattice Field Theory Study of Magnetic Catalysis in Graphene
- Theory of inplane magnetoresistance in two-dimensional massless Dirac fermion system
- Splitting of critical energies in the =0 Landau level of graphene
- Valley and Zeeman Splittings in Multilayer Epitaxial Graphene Revealed by Circular Polarization Resolved Magneto-infrared Spectroscopy
- Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
- Gap generation and phase diagram in strained graphene in a magnetic field
- Magnetic Phases in Periodically Rippled Graphene
- Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
- Topological Transition of Graphene from Quantum Hall Metal to Quantum Hall Insulator at
- Edge states in a honeycomb lattice: effects of anisotropic hopping and mixed edges
- Electronic properties of the parabolic Dirac system
- An RG potential for the quantum Hall effects
- Quantized heat flow in graphene quantum Hall phases: Probing the topological order
- Collective excitations of fractional quantum Hall states in monolayer graphene
- Interacting quantum Hall states in a finite graphene flake and at finite temperature
- The triggering role of carrier mobility in the fractional quantum Hall effect-evidence in graphene