Anomalous mesoscopic fluctuations of transport coefficients above the critical temperature

TL;DR

This paper demonstrates that above the critical temperature, superconductor-metal transitions exhibit large, temperature-dependent mesoscopic fluctuations in conductivity due to pairing correlations, differing significantly from normal metals.

Contribution

It reveals the enhancement of mesoscopic fluctuations above the critical temperature caused by pairing correlations, highlighting the role of dimensionality.

Findings

Large mesoscopic fluctuations in conductivity above critical temperature

Fluctuation amplitudes exceed those in noninteracting normal metals

Dependence of fluctuations on system dimensions

Abstract

We show that above the critical temperature of superconductor - metal phase transitions, both the longitudinal and Hall conductivity exhibit strong temperature dependent mesoscopic fluctuations, with amplitudes much larger than the mesoscopic fluctuations in noninteracting normal metals. Such an enhancement of the mesoscopic fluctuations arises from pairing correlations and is strongly dependent on dimensions.