Influence of fluctuations on the superfluid density in low-temperature technologies

TL;DR

This paper examines how fluctuations affect superfluid density in superconductors using Ginzburg-Landau theory, highlighting incompatible definitions and proposing a simplified calculation approach in the Mean Field Approximation.

Contribution

It introduces a critical perspective on defining superfluid density and suggests avoiding the fluctuating part of the order parameter in thermodynamic calculations.

Findings

Identifies two incompatible definitions of superfluid density.

Proposes not to consider the fluctuating part of the order parameter.

Supports using Mean Field Approximation for thermodynamic properties.

Abstract

In this article the Ginzburg-Landau theory ideas are considered in their application to the description of fluctuations influence on the superfluid density in superconductor. The conclusion about the availability of two incompatible mathematical definitions of the superfluid density is made. That is why, it is suggested not to consider the fluctuating part of order parameter, while calculating the superconductor thermodynamical characteristics in the Mean Field Approximation.