Theoretical analysis of the transmission phase shift of a quantum dot in the presence of Kondo correlations

TL;DR

This paper provides a theoretical analysis of how Kondo correlations influence the transmission phase shift in quantum dots, aligning well with experimental observations through scattering theory and Bethe ansatz methods.

Contribution

It introduces a theoretical interpretation explaining the phase shift behavior in quantum dots with Kondo effects, highlighting a factor of 2 difference in phase contributions.

Findings

Quantitative agreement with experimental phase shift data.

Identification of a factor of 2 difference in phase contributions.

Theoretical explanation of Kondo correlation effects on transmission phase.

Abstract

We study the effects of Kondo correlations on the transmission phase shift of a quantum dot coupled to two leads in comparison with the experimental determinations made by Aharonov-Bohm (AB) quantum interferometry. We propose here a theoretical interpretation of these results based on scattering theory combined with Bethe ansatz calculations. We show that there is a factor of 2 difference between the phase of the S-matrix responsible for the shift in the AB oscillations, and the one controlling the conductance. Quantitative agreement is obtained with experimental results for two different values of the coupling to the leads.