Semi-classical theory of Aharonov-Bohm oscillations under quantized Hall conditions

TL;DR

This paper presents a semi-classical theory explaining Aharonov-Bohm conductance oscillations in quantum dots under quantized Hall conditions, emphasizing the role of electron phase coherence and incompressible strips.

Contribution

It introduces a semi-classical framework linking Aharonov-Bohm oscillations to electron trajectories in quantum Hall regimes, clarifying conditions for observable oscillations.

Findings

Oscillations originate from true Aharonov-Bohm phase acquired by electrons.

Absence of oscillations at certain filling factors explained.

Screening theory identifies parameters for observable oscillation patterns.

Abstract

We demonstrate that the experimentally observed conductance oscillations through a gate-controlled quantum dot under quantized Hall conditions originate from a true Aharonov-Bohm phase that is acquired by the electrons as they co-propagate coherently through incompressible strips at a particular filling factor and enclose a certain magnetic flux within the dot. The absence of oscillations at certain filling factors is explained. The self-consistent screening theory of the integer quantized hall effect reveals the range of experimental parameters under which further intriguing oscillation patterns are observable.