Reply to Comment "Invalidity of classes of approximate Hall effect calculations."

TL;DR

This paper defends the validity of certain Hall effect calculations in superconductors by addressing and correcting criticisms that misinterpret the treatment of impurity interactions and relaxation processes.

Contribution

It provides a detailed rebuttal to Ao's critique, clarifying the proper treatment of the Hall conductivity in the mixed state of superconductors.

Findings

Errors identified in Ao's treatment of impurity interactions

Proper microscopic and phenomenological approaches clarified

Reaffirmation of the validity of existing Hall effect calculations

Abstract

We reply to the criticism raised by Ao in his Comment (cond-mat/9801180). Being unable to properly treat the Hall conductivity in a mixed state of superconductors, Ao is looking for possible mistakes in microscopic and phenomenological calculations, as well as in the corresponding experiments. The errors in his treatment of the problem (cond-mat/9704247) are analized. We indicate where the approach advocated by him fails to properly account for the interaction with impurities and other sources of relaxation.