Does the nuclear spin relaxation rate in superconductors depend on disorder?

TL;DR

This paper investigates how nonmagnetic impurities affect the nuclear spin relaxation rate in s-wave superconductors, finding minimal impact in weakly disordered three-dimensional systems.

Contribution

It provides a detailed calculation of the relaxation rate considering strong-coupling effects and demonstrates the negligible influence of disorder in certain conditions.

Findings

Disorder has negligible effect on relaxation rate in weakly disordered 3D superconductors.

Strong-coupling effects are included in the calculation.

The results suggest robustness of the relaxation rate against nonmagnetic impurities.

Abstract

We calculate the relaxation rate of a nuclear spin in s-wave superconductor with nonmagnetic impurities, including the strong-coupling effects. We show that in a weakly disordered three-dimensional system the corrections due to disorder are negligibly small.