Thermally fluctuating superconductors in two dimensions

TL;DR

This paper explores the finite temperature behavior of two-dimensional superconductors near the superconductor-insulator transition, providing new insights into phase dynamics and universal conductivity relations.

Contribution

It introduces novel results for low temperature phase-only hydrodynamics and the quantum-critical region in two-dimensional superconductors.

Findings

Derived a universal relationship between frequency-dependent conductivity and d.c. resistance.

Analyzed the regimes of finite temperature dynamics near the quantum phase transition.

Provided new theoretical insights into the quantum-critical behavior of 2D superconductors.

Abstract

We describe the different regimes of finite temperature dynamics in the vicinity of a zero temperature superconductor to insulator quantum phase transition in two dimensions. New results are obtained for a low temperature phase-only hydrodynamics, and for the intermediate temperature quantum-critical region. In the latter case, we obtain a universal relationship between the frequency-dependence of the conductivity and the value of the d.c. resistance.