Comment on arXiv:1301.3829 and Reply to 'Comment on "Can disorder really enhance superconductivity?"' arXiv:1501.05148 by I.M. Suslov

TL;DR

This paper critically examines Suslov's theoretical claims about disorder-enhanced superconductivity, refutes his predictions, and defends the authors' approach that provides testable analytical predictions for critical temperature and order parameter distribution.

Contribution

The authors refute Suslov's claims and demonstrate that their percolation-based theory yields quantitative, testable predictions for inhomogeneous superconductors induced by weak multifractality.

Findings

Suslov's predictions are not supported by sound theory.

The authors' approach provides analytical predictions for critical temperature.

The theory's predictions can be tested through experiments or simulations.

Abstract

In arXiv:1301.3829 and arXiv:1501.05148 I. M. Suslov proposes a theoretical description for the interplay between disorder and superconductivity that, among other things, claims to predict situations where superconductivity is enhanced by disorder. In this comment we show that Suslov's results do not make any sound predictions relating to this problem. Suslov also suggests that the percolation approach recently employed by the authors to compute the global critical temperature of inhomogeneous superconductors induced by weak multifractality is not satisfactory. We refute Suslov's opinion using simple ideas from the Bardeen-Cooper-Schiaffer (BCS) theory of superconductivity. More importantly we stress that our theory makes quantitative analytical predictions for observables such as the global critical temperature and the spatial distribution of the order parameter. Our work can therefore be easily confirmed or disproved through either numerical or experimental study.