Electron-electron interactions in antidot-based Aharonov-Bohm interferometers

Abstract

We present a microscopic picture of quantum transport in quantum antidots in the quantum Hall regime taking electron interactions into account. We discuss the edge state structure, energy level evolution, charge quantization and linear-response conductance as the magnetic field or gate voltage is varied. Particular attention is given to the conductance oscillations due to Aharonov-Bohm interference and their unexpected periodicity. To explain the latter we propose the mechanisms of scattering by point defects and Coulomb blockade tunneling. They are supported by self-consistent calculations in the Hartree approximation, which indicate pinning and correlation of the single-particle states at the Fermi energy as well as charge oscillation when antidot-bound states depopulate. We have also found interesting phenomena of anti-resonance reflection of the Fano type.

12 pages, 8 figures

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• Electron interactions in an antidot in the integer quantum Hall regime
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Cited by in corpus (12)

• Imaging Coulomb Islands in a Quantum Hall Interferometer
• Robust Electron Pairing in the Integer Quantum Hall Effect Regime
• Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes
• Imaging backscattering through impurity-induced antidots in quantum Hall constrictions
• Spin polarization and g-factor enhancement in graphene nanoribbons in magnetic field
• Spectator Behavior in a Quantum Hall Antidot with Multiple Bound Modes
• Resonant electron tunneling in a tip-controlled potential landscape
• Capacitive interaction model for Aharonov-Bohm effects of a quantum Hall antidot
• Wave function description of conductance mapping for quantum Hall electron interferometer
• Stepped Graphene-based Aharonov-Bohm Interferometers
• Fabry-Perot and Aharonov-Bohm interference in ideal graphene nanoribbons
• Coulomb oscillations of a quantum antidot formed by an airbridged pillar gate in the integer and fractional quantum Hall regime