Superfluid $T_c$ of Helium-3 and its Pressure Dependence

TL;DR

This paper calculates the superfluid transition temperature of helium-3 and its pressure dependence using a macro-orbital microscopic theory, closely matching experimental data and suggesting broader applications to superconductors.

Contribution

It introduces a macro-orbital microscopic relation for superfluid $T_c$ that accurately predicts helium-3 behavior and supports its use in other fermionic superfluid systems.

Findings

Calculated $T_c$ matches experimental data closely.

The relation provides insights into fermion pairing mechanisms.

Potential application to electron fluid superconductivity.

Abstract

Superfluid $T_c$ of liquid helium-3 and its pressure dependence are calculated by using a relation obtained from our macro-orbital microscopic theory. The results agree closely with experiments. This underlines the accuracy of our relation and its potential to provide superfluid $T_c$ of electron fluid in widely different superconductors and renders experimental foundation to our conclusion related to the basic factors responsible for the formation of (q, -q) bound pairs of fermions and the onset of superfluidity in a fermionic system.