Weak Localization Effect in Superconductors

TL;DR

This paper investigates how weak localization influences superconducting transition temperatures, showing it weakens electron-phonon interactions and that the critical resistance varies with sample, aligning with experimental observations.

Contribution

It introduces a theoretical approach using time-reversed scattered states to analyze weak localization effects on superconductivity, matching experimental data.

Findings

Weak localization reduces electron-phonon interactions in superconductors.

Calculated $T_c$ values agree with experimental data for disordered superconductors.

Critical sheet resistance varies with sample, not universally, consistent with experiments.

Abstract

We study the effect of weak localization on the transition temperatures of superconductors using time-reversed scattered state pairs, and find that the weak localization effect weakens electron-phonon interactions. With solving the BCS $T_{c}$ equation, the calculated values for $T_c$ are in good agreement with experimental data for various two- and three-dimensional disordered superconductors. We also find that the critical sheet resistance for the suppression of superconductivity in thin films does not satisfy the universal behavior but depends on sample, in good agreement with experiments. but depends on sample, in good agreement with experiments.