Fluctuation response of a superconductor with temporally correlated noise

TL;DR

This paper investigates how temporally correlated noise influences the fluctuation response in superconductors above their critical temperature, revealing a resonance-like enhancement dependent on noise correlation time and system dimensionality.

Contribution

It introduces a phenomenological model incorporating finite noise correlation time to analyze fluctuation responses in superconductors, highlighting a resonance effect.

Findings

Transport response is enhanced when noise correlation time matches the superconductor's relaxation time.

The resonance effect varies significantly with the system's dimensionality.

Finite noise correlation can be engineered to control superconductor fluctuations.

Abstract

We discuss how a finite noise correlation time, which can arise through coupling to engineered nonthermal environments, affects the fluctuation-driven response in a superconductor above its critical temperature. Using the phenomenological time-dependent Ginzburg--Landau model, we formulate the stochastic dynamics within the path-integral framework. Our analysis reveals that the transport response can be enhanced when the noise correlation time becomes comparable to the intrinsic relaxation time of the superconductor. The magnitude and character of this resonant-like effect depend strongly on the system's dimensionality.