Thermodynamic properties of a quantum Hall anti-dot interferometer

TL;DR

This paper investigates the thermodynamic properties of quantum Hall anti-dot interferometers, highlighting their similarities to quantum dot interferometers and their potential for observing fractional statistics.

Contribution

It introduces a thermodynamic framework for understanding anti-dot interferometers and demonstrates their advantages in accessing fractional statistics effects.

Findings

Anti-dot interferometers are influenced by Coulomb interactions similar to quantum dot interferometers.

The Aharonov-Bohm regime is more accessible in anti-dot based interferometers.

Results are relevant to recent experimental measurements on anti-dot interferometers.

Abstract

We study quantum Hall interferometers in which the interference loop encircles a quantum anti-dot. We base our study on thermodynamic considerations, which we believe reflect the essential aspects of interference transport phenomena. We find that similar to the more conventional Fabry-Perot quantum Hall interferometers, in which the interference loop forms a quantum dot, the anti-dot interferometer is affected by the electro-static Coulomb interaction between the edge modes defining the loop. We show that in the Aharonov-Bohm regime, in which effects of fractional statistics should be visible, is easier to access in interferometers based on anti-dots than in those based on dots. We discuss the relevance of our results to recent measurements on anti-dots interferometers.