Mesoscopic Effects in the Fractional Quantum Hall Regime: Chiral Luttinger versus Fermi Liquid

Abstract

We study tunneling through an edge state formed around an antidot in the fractional quantum Hall regime using Wen's chiral Luttinger liquid theory extended to include mesoscopic effects. We identify a new regime where the Aharonov-Bohm oscillation amplitude exhibits a distinctive crossover from Luttinger liquid power-law behavior to Fermi-liquid-like behavior as the temperature is increased. Near the crossover temperature the amplitude has a pronounced maximum. This non-monotonic behavior and novel high-temperature nonlinear phenomena that we also predict provide new ways to distinguish experimentally between Luttinger and Fermi liquids.

13 pages, Revtex, Figure available from [email protected]

References in corpus (4)

• Topological orders and Edge excitations in FQH states
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Numerical Tests of the Chiral Luttinger Liquid Theory for Fractional Hall Edges
• The Aharonov-Bohm Effect in the Fractional Quantum Hall Regime

Cited by in corpus (16)

• Modular Invariant Partition Functions in the Quantum Hall Effect
• Aharonov-Bohm effect in the chiral Luttinger liquid
• Coulomb blockade of anyons
• Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes
• Electron interactions in an antidot in the integer quantum Hall regime
• A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states
• Pairing Effects in the Edge of Paired Quantum Hall States
• Antidot tunneling between Quantum Hall liquids with different filling factors
• Resonance in a Tomonaga-Luttinger liquid
• Persistent edge currents for paired quantum hall states
• Persistent Edge Current In the Fractional Quantum Hall Effect
• Chiral persistent currents and magnetic susceptibilities in the parafermion quantum Hall states in the second Landau level with Aharonov-Bohm flux
• Temperature-dependent crossover in fractional quantum Hall edges in the presence of Coulomb interaction
• Correlated transport of FQHE quasiparticles in a double-antidot system
• Mesoscopic Effects in the Fractional Quantum Hall Regime
• Quantum computation with hybrid parafermion-spin qubits