Spectator Behavior in a Quantum Hall Antidot with Multiple Bound Modes

TL;DR

This paper theoretically investigates Aharonov-Bohm resonances in a quantum Hall antidot with multiple modes, revealing spectator behavior caused by internal charge relaxation, which may explain previously unexplained experimental features.

Contribution

It introduces a theoretical model accounting for capacitive interactions and internal charge relaxation, explaining spectator behavior in multi-mode antidot systems.

Findings

Spectator behavior causes some resonances to disappear and be replaced by others.

Internal charge relaxation explains previously unexplained experimental features.

The model accounts for features in antidot molecules and single antidots with three modes.

Abstract

We theoretically study Aharonov-Bohm resonances in an antidot system with multiple bound modes in the integer quantum Hall regime, taking capacitive interactions between the modes into account. We find the spectator behavior that the resonances of some modes disappear and instead are replaced by those of other modes, due to internal charge relaxation between the modes. This behavior is a possible origin of the features of previous experimental data which remain unexplained, spectator behavior in an antidot molecule and resonances in a single antidot with three modes.