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

TL;DR

This paper provides a detailed microscopic analysis of quantum transport in antidot-based Aharonov-Bohm interferometers, highlighting electron interactions, conductance oscillations, and novel phenomena like Fano anti-resonances.

Contribution

It introduces a comprehensive model incorporating electron interactions, explaining unexpected conductance periodicities and phenomena in antidot interferometers with self-consistent calculations.

Findings

Identification of conductance oscillation mechanisms due to scattering and Coulomb blockade.

Observation of charge pinning and correlation effects at the Fermi energy.

Discovery of Fano-type anti-resonance reflection phenomena.

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.