Effects of geometrical fluctuations on the transition temperature of disordered quasi-one-dimensional superconductors

TL;DR

This paper investigates how geometrical fluctuations in disordered quasi-one-dimensional superconductors can increase the transition temperature by mitigating disorder effects and enhancing inter-ladder coupling, offering insights into high-temperature superconductor anomalies.

Contribution

It demonstrates through renormalization group analysis that geometrical fluctuations can counteract disorder suppression of superconductivity and boost inter-ladder tunneling, raising T_c.

Findings

Fluctuations mitigate disorder-induced suppression of pairing.

Enhanced Josephson tunneling increases T_c.

Potential relevance to high-temperature superconductor anomalies.

Abstract

We study the superconducting transition temperature, T_c, of an array of fluctuating, maximally gapped interacting ladders, embedded in a disordered plane. Renormalization group analysis indicates that geometrical fluctuations mitigate the suppression of the intra-ladder pairing correlations by the disorder. In addition, the fluctuations enhance the Josephson tunneling between the ladders. Both effects lead to an increase of T_c in the Josephson coupled array. These findings may be relevant to the understanding of the 1/8 anomaly in the lanthanum based high-temperature superconductors.