Tunable Electron Interactions and Fractional Quantum Hall States in Graphene

Abstract

The recent discovery of fractional quantum Hall states in graphene raises the question of whether the physics of graphene and its bilayer offers any advantages over GaAs-based materials in exploring strongly-correlated states of two-dimensional electrons. Here we propose a method to continuously tune the effective electron interactions in graphene and its bilayer by the dielectric environment of the sample. Using this method, the charge gaps of prominent FQH states, including ν=1/3 or ν=5/2 states, can be increased several times, or reduced all the way to zero. The tunability of the interactions can be used to realize and stabilize various strongly correlated phases in the FQH regime, and to explore the transitions between them.

4.2 pages, 5 figures

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Cited by in corpus (31)

• Electronic properties of graphene-based bilayer systems
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
• Fractional Quantum Hall Phase Transitions and Four-flux Composite Fermions in Graphene
• Fractional topological phases and broken time reversal symmetry in strained graphene
• Fractional and integer quantum Hall effects in the zeroth Landau level in graphene
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• New Dirac points and multiple Landau level crossings in biased trilayer graphene
• Tunable interactions and phase transitions in Dirac materials in a magnetic field
• Geometric construction of Quantum Hall clustering Hamiltonians
• Imaging anyons with scanning tunneling microscopy
• Enhanced fractional quantum Hall gaps in a two-dimensional electron gas coupled to a hovering split-ring resonator
• Realizing Universal Edge Properties in Graphene Fractional Quantum Hall Liquids
• Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
• Coulomb Engineering of two-dimensional Mott materials
• A Typology for Quantum Hall Liquids
• Tunability of the Fractional Quantum Hall States in Buckled Dirac Materials
• Bootstrapping the Quantum Hall problem
• Theoretical Aspects of the Fractional Quantum Hall Effect in Graphene
• Effective theory of fractional topological insulators in two spatial dimensions
• Stability of the k=3 Read-Rezayi state in chiral two-dimensional systems with tunable interactions
• Numerical studies of the fractional quantum Hall effect in systems with tunable interactions
• Anti-screening and nonequilibrium layer electric phases in graphene multilayers
• Fractional quantum Hall effect of topological surface states under a strong tilted magnetic field
• Fractional Quantum Hall Effect in n=0 Landau Band of Graphene with Chern Number Matrix
• Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation
• Interlayer exciton condensates between second Landau level orbitals in double bilayer graphene