Influence of correlated impurities on the onset of Cooper pairing

TL;DR

This paper investigates how correlations between impurities affect the transition temperature of superconductors, deriving a corrected equation that accounts for impurity correlations with potential experimental implications.

Contribution

It introduces a new theoretical correction to the transition temperature equation by incorporating impurity correlations beyond the superconductor's correlation length.

Findings

Impurity correlations can significantly alter the transition temperature.

The corrected equation provides a more accurate prediction of superconducting transition points.

Implications for designing materials with tailored impurity distributions.

Abstract

Effect of two-particle correlations between impurities on the temperature of transition of a Fermi liquid in the superfluid or superconducting state is analyzed. It is shown, that correlations with a radius exceeding correlation length of the superconductor can have pronounced effect on the transition temperature. The equation for the transition temperature is corrected for correlations of the impurities. Possible applications of the new equation are discussed.