Reply to 'Comment on Universal out-of-equilibrium transport in Kondo-correlated quantum dots'

TL;DR

This paper defends the authors' previous work on out-of-equilibrium transport in Kondo quantum dots against a comment claiming errors, demonstrating that the discrepancies are due to a violation of Ward identities in the comment's method.

Contribution

The authors clarify that their original approach remains valid and consistent with numerical renormalization group results, countering claims of mistakes and continuity issues in the distribution function.

Findings

Original approach agrees with numerical renormalization group results.

Discrepancies in the comment arise from violation of Ward identities.

Authors reaffirm the validity of their previous analysis.

Abstract

A recent comment on our work (Phys. Rev. Lett., vol. 110, 016601 (2013)) by A.A.Aligia claims that we "made mistakes in the evaluation of the lesser quantities". It is further claimed that the distribution function of the single-particle selfenergy of the interacting region in the Fermi liquid regime, e.g. at small bias voltage, low temperature, and small frequency, is continuous. These claims are based on a comparison of the particle-hole symmetric case with results obtained from the approach of A.A.Aligia. We disagree with these claims and show that the discrepancies that the comment alludes to originate from a violation of Ward identities by the method employed in the comment. A comparison of our approach with the numerical renormalization group shows perfect agreement for the symmetric case.