Fluctuation conductivity in ultraclean multicomponent superconductors

TL;DR

This paper analyzes fluctuation conductivity in ultraclean, multicomponent superconductors near the critical point, deriving the electromagnetic response and identifying conditions for nonzero dissipative conductivity.

Contribution

It introduces a theoretical framework for fluctuation conductivity in ultraclean multicomponent superconductors using functional-integral techniques.

Findings

Derived the gauge-invariant electromagnetic response kernel.

Identified conditions for nonzero dissipative longitudinal conductivity.

Showed fluctuation-induced DC conductivity enhancement follows critical behavior.

Abstract

We consider the intrinsic fluctuation conductivity in metals with multiply sheeted Fermi surfaces approaching a superconducting critical point. Restricting our attention to extreme type-II multicomponent superconductors motivates focusing on the ultraclean limit. Using functional-integral techniques, we derive the Gaussian fluctuation action from which we obtain the gauge-invariant electromagnetic linear response kernel. This allows us to compute the optical conductivity tensor. We identify essential conditions required for a nonzero dissipative part of the longitudinal conductivity in a disorder-free and translationally invariant system. Specifically, this derives indirectly from the multicomponent character of the incipient superconducting order and the parent metallic state. Under these conditions, the enhancement of the DC conductivity due to fluctuations close to the critical point follows the same critical behavior as in the diffusive limit.