Basic Connection between Superconductivity and Superfluidity

TL;DR

This paper reveals a fundamental link between superconductivity and superfluidity, demonstrating that a general equation can predict transition temperatures across various systems from helium liquids to superconductors.

Contribution

It introduces a unified paradigm and a general equation that accurately predicts transition temperatures for both superconductors and superfluids across a wide temperature range.

Findings

The equation matches experimental transition temperatures for heavy-electron, metallic, and oxide superconductors.

It successfully estimates superfluid transition temperatures of liquid 3He and 4He.

The paradigm applies to dilute 3He in superfluid 4He with estimated transition temperatures.

Abstract

A basic and inherently simple connection is shown to exist between superconductivity and superfluidity. It is shown here that the author's previously derived general equation which agrees well with the superconducting transition temperatures for the heavy-electron superconductors, metallic superconductors, oxide supercon- ductors, metallic hydrogen, and neutron stars, also works well for the superfluid transition temperature of 2.6 mK for liquid 3He. Reasonable estimates are made from 10^-3 K to 10^9K -- a range of 12 orders of magnitude. The same paradigm applies to the superfluid transition temperature of liquid 4He, but results in a slightly different equation. The superfluid transition temperature for dilute solutions of 3He in superfluid 4He is estimated to be ~ 1 to 10mK. This paradigm works well in detail for metallic, cuprate, and organic superconductors.