Quantum Fluctuations and Dynamic Clustering of Fluctuating Cooper Pairs

TL;DR

This paper derives exact fluctuation conductivity expressions for 2D superconductors near the quantum phase transition, revealing a dynamic clustering state of fluctuation Cooper pairs and analyzing magnetoconductivity behavior at zero temperature.

Contribution

It introduces a novel theoretical framework for fluctuation conductivity near quantum criticality and predicts a dynamic clustering state of fluctuation Cooper pairs.

Findings

Exact expressions for fluctuation conductivity in 2D superconductors.

Identification of a dynamic clustering state near the quantum phase transition.

Magnetic field dependence of transverse magnetoconductivity at zero temperature.

Abstract

We derive exact expressions for the fluctuation conductivity in two dimensional superconductors as a function of temperature and magnetic field in the whole fluctuation region above the upper critical field H_{c2}(T). Focusing on the vicinity of the quantum phase transition near zero temperature, we propose that as the magnetic field approaches the line near H_{c2}(0) from above, a peculiar dynamic state consisting of clusters of coherently rotating fluctuation Cooper-pairs forms and estimate the characteristic size and lifetime of such clusters. We find the zero temperature magnetic field dependence of the the transverse magnetoconductivity above H_{c2}(0) in layered superconductors.