Far-from-equilibrium superconductor in fluctuational regime

TL;DR

This paper develops a Ginzburg-Landau-like theoretical framework for two-dimensional disordered superconductors far from equilibrium, enabling calculation of fluctuation effects on conductivity in complex thermal and electrochemical environments.

Contribution

It introduces a novel approach to analyze fluctuational regimes in non-equilibrium superconductors, extending existing models to more realistic experimental setups.

Findings

Derived a Ginzburg-Landau-like action for non-equilibrium superconductors.

Calculated fluctuation-induced conductivity contributions.

Applied the theory to a thin superconducting film with temperature and potential gradients.

Abstract

We derive Ginzburg-Landau-like action for two-dimensional disordered superconductor under far-from-equilibrium conditions in a fluctuational regime. Then, utilizing it, we calculate fluctuation induced density of states, Maki-Thomson and Aslamazov-Larkin type contributions to the in-plane electrical conductivity. We apply our approach to thin superconducting film sandwiched between a gate and a substrate that have different temperatures and different electrochemical potentials.