Electron interactions in an antidot in the integer quantum Hall regime
arXiv:0711.4746 · doi:10.1016/j.physrep.2007.11.001
Abstract
A quantum antidot, a submicron depletion region in a two-dimensional electron system, has been actively studied in the past two decades, providing a powerful tool for understanding quantum Hall systems. In a perpendicular magnetic field, electrons form bound states around the antidot. Aharonov-Bohm resonances through such bound states have been experimentally studied, showing interesting phenomena such as Coulomb charging, h/2e oscillations, spectator modes, signatures of electron interactions in the line shape, Kondo effect, etc. None of them can be explained by a simple noninteracting electron approach. Theoretical models for the above observations have been developed recently, such as a capacitive-interaction model for explaining the h/2e oscillations and the Kondo effect, numerical prediction of a hole maximum-density-droplet antidot ground state, and spin density-functional theory for investigating the compressibility of antidot edges. In this review, we summarize such experimental and theoretical works on electron interactions in antidots.
73 pages, 28 figures, to be published in Physics Reports. The resolution of some figures is reduced in this upload
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Cited by in corpus (25)
- Chiral thermoelectrics with quantum Hall edge states
- Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes
- Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
- Coherent tunnelling across a quantum point contact in the quantum Hall regime
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- Designing atomic-scale resistive circuits in topological insulators through vacancy-induced localized modes
- Effects of rotation on the thermodynamic properties of a quantum dot