Composite Dirac fermions in graphene

Abstract

Generalizing the notion of composite fermions to the "pseudo-relativistic" Quantum Hall phenomena in graphene, we discuss a possible emergence of compressible states at the filling factors -3/2, -1/2, 1/2, 3/2. This analysis is further extended to the nearby incompressible states viewed as the Integer Quantum Hall Effect of the composite Dirac fermions, as well as those that might occur at the filling factors -1, 0, 1 as a result of the (pseudo)spin-singlet pairing between them.

Latex, 4+ pages

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Cited by in corpus (37)

• Observation of the Fractional Quantum Hall Effect in Graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
• Multicomponent fractional quantum Hall effect in graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Is the Composite Fermion a Dirac Particle?
• The Nature of Quantum Hall States near the Charge Neutral Dirac Point in Graphene
• Broken symmetry states and divergent resistance in suspended bilayer graphene
• Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
• Gauge field induced by ripples in graphene
• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• Composite Fermions and Broken Symmetries in Graphene
• Spontaneous Symmetry Breaking and Quantum Hall Effect in Graphene
• Analysis of a SU(4) generalization of Halperin's wave function as an approach towards a SU(4) fractional quantum Hall effect in graphene sheets
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• Atypical Fractional Quantum Hall Effect in Graphene at Filling Factor 1/3
• Integer and Fractional Quantum Hall Effect in Two-Terminal Measurements on Suspended Graphene
• Confined Dirac Fermions in a Constant Magnetic Field
• Theory of integer quantum Hall effect in insulating bilayer graphene
• Local density of states of electron-crystal phases in graphene in the quantum Hall regime
• Anomalous Quantum Hall Effect on Sphere
• Theoretical study of even denominator fractions in graphene: Fermi sea versus paired states of composite fermions
• Quantum Hall plateau transition in the lowest Landau level of disordered graphene
• A Holographic Quantum Hall Ferromagnet
• Fermionic Chern-Simons Theory of SU(4) Fractional Quantum Hall Effect
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Composite fermions in graphene fractional quantum Hall state at half filling: evidence for Dirac composite fermions
• Abelian Chern-Simons Theory for the Fractional Quantum Hall Effect in Graphene
• Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Fractional Quantum Hall States in Graphene
• Dynamical Mass Generation of Composite Dirac Fermions and Fractional Quantum Hall Effects near Charge Neutrality in Graphene
• Path Integral Confined Dirac Fermions in a Constant Magnetic Field
• Collective excitations of fractional quantum Hall states in monolayer graphene
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene