Universal Periods in Quantum Hall Droplets

Abstract

Using the hierarchy picture of the fractional quantum Hall effect, we study the the ground state periodicity of a finite size quantum Hall droplet in a quantum Hall fluid of a different filling factor. The droplet edge charge is periodically modulated with flux through the droplet and will lead to a periodic variation in the conductance of a nearby point contact, such as occurs in some quantum Hall interferometers. Our model is consistent with experiment and predicts that superperiods can be observed in geometries where no interfering trajectories occur. The model may also provide an experimentally feasible method of detecting elusive neutral modes and otherwise obtaining information about the microscopic edge structure in fractional quantum Hall states.

4 pages, 4 figures

References in corpus (4)

• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
• Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer
• Resonant tunneling in fractional quantum Hall effect: superperiods and braiding statistics

Cited by in corpus (12)

• Fractional charge and fractional statistics in the quantum Hall effects
• Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets
• Neutral modes edge state dynamics through quantum point contacts
• Topological phases in small quantum Hall samples
• Trapping Abelian anyons in fractional quantum Hall droplets
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Model wavefunctions for interfaces between lattice Laughlin states
• Superperiods in interference of e/3 Laughlin quasiparticles encircling filling 2/5 fractional quantum Hall island
• Orbital Kondo effect in fractional quantum Hall systems
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator