The quenching of compressible edge states around antidots

Abstract

We provide a systematic quantitative description of the edge state structure around a quantum antidot in the integer quantum Hall regime. The calculations for spinless electrons within the Hartree approximation reveal that the widely used Chklovskii et al. electrostatic description greatly overestimates the widths of the compressible strips; the difference between these approaches diminishes as the size of the antidot increases. By including spin effects within density functional theory in the local spin-density approximation, we demonstrate that the exchange interaction can suppress the formation of compressible strips and lead to a spatial separation between the spin-up and spin-down states. As the magnetic field increases, the outermost compressible strip, related to spin-down states starts to form. However, in striking contrast to quantum wires, the innermost compressible strip (due to spin-up states) never develops for antidots.

arXiv commentsubmitted to Phys. Rev. Lett

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Cited by in corpus (10)

• Electron tunneling spectroscopy of a quantum antidot in the quantum Hall regime
• Interacting electrons in the Aharonov-Bohm interferometer
• Electron-electron interactions in antidot-based Aharonov-Bohm interferometers
• Self-consistent Coulomb picture of an electron-electron bilayer system
• 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
• 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
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Geometric Suppression of Single-Particle Energy Spacings in Quantum Antidots