Capacitive interaction model for Aharonov-Bohm effects of a quantum Hall antidot

Abstract

We derive a general capacitive interaction model for an antidot-based interferometer in the integer quantum Hall regime, and study Aharonov-Bohm resonances in a single antidot with multiple bound modes, as a function of the external magnetic field or the gate voltage applied to the antidot. The pattern of Aharonov-Bohm resonances is significantly different from the case of noninteracting electrons. The origin of the difference includes charging effects of excess charges, charge relaxation between the bound modes, the capacitive interaction between the bound modes and the extended edge channels nearby the antidot, and the competition between the single-particle level spacing and the charging energy of the antidot. We analyze the patterns for the case that the number of the bound modes is 2, 3, or 4. The results agree with recent experimental data.

9 pages, 6 figures

References in corpus (20)

• Electron transport through double quantum dots
• Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
• The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
• Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
• Detection of Coulomb Charging around an Antidot in the Quantum Hall Regime
• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Quantum transport in electron Fabry-Perot interferometers
• Energetics of Quantum Antidot States in Quantum Hall Regime
• Kondo Effect in a Quantum Antidot
• Coulomb blockade of tunnelling through compressible rings formed around an antidot: an explanation for $h/2e$ Aharonov-Bohm oscillations
• Electron interactions in an antidot in the integer quantum Hall regime
• Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
• Electron tunneling spectroscopy of a quantum antidot in the quantum Hall regime
• Electron-electron interactions in antidot-based Aharonov-Bohm interferometers
• Coulomb Blockade and Kondo Effect in a Quantum Hall Antidot
• The quenching of compressible edge states around antidots
• Hole maximum density droplets of an antidot in strong magnetic fields
• Spectator Behavior in a Quantum Hall Antidot with Multiple Bound Modes
• Temperature-dependent screening of the edge state around antidots in the quantum Hall regime
• Spin-Resolved Edge States around an Antidot in the Vicinity of the $\nu =2$ Quantum Hall State

Cited by in corpus (4)

• Robust Electron Pairing in the Integer Quantum Hall Effect Regime
• Observation of Interaction-Induced Modulations of a Quantum Hall Liquid's Area
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Coulomb oscillations of a quantum antidot formed by an airbridged pillar gate in the integer and fractional quantum Hall regime