Graphene in a Strong Magnetic Field: Massless Dirac Particles vs. Skyrmions
arXiv:0809.0217 · doi:10.1103/PhysRevB.78.195426
Abstract
We discuss models for massless Dirac fermions being subject to a perpendicular magnetic field in spherical geometry. These models are analogues of Haldane`s spherical construction for massful charge carriers. The single particle states constructed here are easily implemented in existing numerical code for many-body problems in conventional quantum Hall systems. Moreover, the many-body states of fully filled sublevels in the subspace of lowest Landau level index are skyrmions with respect to the layer spin.
arXiv comment6 pages, no figures
References in corpus (25)
- 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
- Room-Temperature Quantum Hall Effect in Graphene
- Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
- Infrared spectroscopy of Landau levels in graphene
- Transition from quantum Hall to compressible states in the second Landau level: new light on the =5/2 enigma
- The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
- Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
- The Fractional Quantum Hall States of Dirac Electrons in Graphene
- Fractional Quantum Hall Effect in Graphene
- Excitation gaps in fractional quantum Hall states: An exact diagonalization study
- Strong Correlation to Weak Correlation Phase Transition in Bilayer Quantum Hall Systems
- Spontaneous Interlayer Coherence in Double-Layer Quantum Hall Systems: Symmetry Breaking Interactions, In-Plane Fields and Phase Solitons
- SU(4) composite fermions in graphene: New fractional quantum Hall states
- Coexistence of Composite-Bosons and Composite-Fermions in nu=1/2 + 1/2 Quantum Hall Bilayers
- Theory of neutral and charged exciton scattering with electrons in semiconductor quantum wells
- Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
- The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes
- Bilayer Quantum Hall Systems at Filling Factor ν=2: An Exact Diagonalisation Study
- Excitation Spectrum and Collective Modes of Composite Fermions
- Coupled charge and valley excitations in graphene quantum Hall ferromagnets
- Low energy electronic states in spheroidal fullerenes
- Theoretical study of even denominator fractions in graphene: Fermi sea versus paired states of composite fermions
- Correlation energy, quantum phase transition, and bias potential effects in quantum Hall bilayers at nu=1
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- Experimental and Theoretical Evidence for Extended Particle Models
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