Results from bosonisation for resonant tunneling through a quantum dot in an Aharanov-Bohm ring

TL;DR

This paper uses bosonisation to analyze coherent charge tunneling in a quantum dot embedded in a mesoscopic ring, explaining experimental phenomena and predicting flux-dependent conductance changes.

Contribution

It provides a theoretical framework explaining phase phenomena in quantum dot transport and predicts flux effects, advancing understanding of mesoscopic quantum systems.

Findings

Phase change between resonances explained by symmetries

In-phase successive resonances observed

Predicted conductance behavior varies with Aharanov-Bohm flux

Abstract

We study coherent charge tunneling through a one-dimensional interacting ring with a one-dimensional quantum dot embedded in one of its arms through bosonisation. The symmetries of the effective action explain many of the features such as phase change between resonances, in-phase successive resonances and phase-locking, which have been observed in experiments of coherent transport in mesoscopic rings, with a quantum dot. We also predict changes in the behaviour of the tunneling conductance in the presence of an Aharanov-Bohm flux through the ring. We argue that these results hold true in general for any dot.