Anomalous temperature dependence of the order parameter of a superconductor with weakly correlated impurities

TL;DR

This paper investigates how weak correlations among impurities affect the temperature dependence of the order parameter in superconductors, revealing a modified slope near the critical temperature due to impurity correlations.

Contribution

It introduces the impact of impurity correlations on the order parameter's temperature dependence within the Ginzburg-Landau region, a novel aspect not previously considered.

Findings

Impurity correlations alter the slope of the order parameter near T_c.

The effect depends on the impurity correlation radius R.

Thermodynamic properties are also influenced by impurity correlations.

Abstract

It is shown that weak correlations between the pair-breaking impurities in superconductors influence a temperature dependence of the order parameter within the Ginzburg and Landau region if the correlation radius of impurities R is greater than the coherence length of the superconductor $\xi_0$.Dependence of the square of the average order parameter on a temperature difference $T_c-T$ changes its slope in a region $\xi_0\sqrt{T_c/(T_c-T)\sim R $. Influence of correlations on other thermodynamic properties of superconductors is discussed too.