The n_s - T_c correlations in granular superconductors

TL;DR

This paper explores the relationships between superfluid density and critical temperature in granular superconductors, deriving universal coefficients and connecting empirical correlations with a granular model.

Contribution

It demonstrates how the Uemura and Homes correlations emerge from a simple granular superconductor model, providing explicit expressions for universal coefficients.

Findings

Uemura and Homes correlations follow from the granular model

Universal coefficients are derived in terms of known constants

The model links inhomogeneous superconductor behavior to empirical relationships

Abstract

Following a short discussion of the granular model for an inhomogeneous superconductor, we review the Uemura and Homes correlations and show how both follow in two limits of a simple granular superconductor model. Definite expressions are given for the almost universal coefficients appearing in these relationships in terms of known constants.