Coulomb blockade of tunnelling through compressible rings formed around an antidot: an explanation for $h/2e$ Aharonov-Bohm oscillations

Abstract

We consider single-electron tunnelling through antidot states using a Coulomb-blockade model, and give an explanation for h/2e Aharonov-Bohm oscillations, which are observed experimentally when the two spins of the lowest Landau level form bound states. We show that the edge channels may contain compressible regions, and using simple electrostatics, that the resonance through the outer spin states should occur twice per h/e period. An antidot may be a powerful tool for investigating quantum Hall edge states in general, and the interplay of spin and charging effects that occurs in quantum dots.

5 pages, 4 Postscript figures

References in corpus (3)

• Detection of Coulomb Charging around an Antidot in the Quantum Hall Regime
• Energetics of Quantum Antidot States in Quantum Hall Regime
• Detection of Coulomb Charging around an Antidot

Cited by in corpus (19)

• Mesoscopic one-way channels for quantum state transfer via the Quantum Hall Effect
• Kondo Effect in a Quantum Antidot
• Suppression of compressible edge channels and spatial spin polarization in the integer quantum Hall regime
• Measurement of the Transmission Phase through a Quantum Dot Embedded in One Arm of an Electronic Mach-Zehnder Interferometer
• Interacting electrons in the Aharonov-Bohm interferometer
• Electron-electron interactions in antidot-based Aharonov-Bohm interferometers
• Quantum antidot as a controllable spin injector and spin filter
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Coulomb Blockade and Kondo Effect in a Quantum Hall Antidot
• Imaging backscattering through impurity-induced antidots in quantum Hall constrictions
• 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
• Comment on "Absence of Compressible Edge Channel Rings in Quantum Antidots"
• Temperature-dependent screening of the edge state around antidots in the quantum Hall regime
• Capacitive interaction model for Aharonov-Bohm effects of a quantum Hall antidot
• Spin-Resolved Edge States around an Antidot in the Vicinity of the $\nu =2$ Quantum Hall State
• Stepped Graphene-based Aharonov-Bohm Interferometers
• Tunable tunnel coupling in a double quantum antidot with cotunneling via localized state