Hole maximum density droplets of an antidot in strong magnetic fields

Abstract

We investigate a quantum antidot in the integer quantum Hall regime (the filling factor is two) by using a Hartree-Fock approach and by transforming the electron antidot into a system which confines holes via an electron-hole transformation. We find that its ground state is the maximum density droplet of holes in certain parameter ranges. The competition between electron-electron interactions and the confinement potential governs the properties of the hole droplet such as its spin configuration. The ground-state transitions between the droplets with different spin configurations occur as magnetic field varies. For a bell-shape antidot containing about 300 holes, the features of the transitions are in good agreement with the predictions of a recently proposed capacitive interaction model for antidots as well as recent experimental observations. We show this agreement by obtaining the parameters of the capacitive interaction model from the Hartree-Fock results. An inverse parabolic antidot is also studied. Its ground-state transitions, however, display different magnetic-field dependence from that of a bell-shape antidot. Our study demonstrates that the shape of antidot potential affects its physical properties significantly.

arXiv comment12 pages, 11 figures

References in corpus (13)

• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Addition Spectra of Quantum Dots in Strong Magnetic Fields
• Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
• Detection of Coulomb Charging around an Antidot in the Quantum Hall Regime
• Textured Edges in Quantum Hall Systems
• Skyrmions and edge spin excitations in quantum Hall droplets
• Formation of an Edge Striped Phase in Fractional Quantum Hall Systems
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• 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
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Cited by in corpus (11)

• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Quantum transport in electron Fabry-Perot interferometers
• Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
• Electron interactions in an antidot in the integer quantum Hall regime
• Electron tunneling spectroscopy of a quantum antidot in the quantum Hall regime
• Electronic properties of a graphene antidot in magnetic fields
• The quenching of compressible edge states around antidots
• Spectator Behavior in a Quantum Hall Antidot with Multiple Bound Modes
• Edge spin excitations and reconstructions of integer quantum Hall liquids
• 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