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

TL;DR

This paper refutes a recent claim that the transmission phase through a quantum dot differs from the phase determining conductance, demonstrating the inconsistency within the single level Anderson model.

Contribution

It provides a theoretical critique showing the previous claim is incorrect for the widely used Anderson model of quantum dots.

Findings

The claim is inconsistent with the single level Anderson model.

No derivation supports the claim from explicit theoretical models.

The paper clarifies the relationship between transmission phase and conductance.

Abstract

Recently, A. Jerez, P. Vitushinsky and M. Lavagna [Phys. Rev. Lett. 95, 127203 (2005)] claimed that the transmission phase through a quantum fot, as measured via the Aharonov-Bohm interferometer, differs from the phase which determines the corresponding conductance. Here we show that this claim is wrong for the single level Anderson model, which is usually used to describe the quantum dot. So far, there exists no derivation of this claim from any explicit theoretical model.