Spin Triplet Pairing for Superconductivity

TL;DR

This paper proposes a generalized Cooper pairing mechanism that includes spin, leading to a lower-energy triplet state which could explain spin-triplet superconductivity in certain heavy fermion compounds.

Contribution

It introduces a modified pairing model incorporating spin into the contact interaction, revealing a lower-energy triplet state compared to singlet states.

Findings

Triplet state is energetically favored over singlet state.

The model explains observed spin-triplet superconductivity in UPt3 and Sr2RuO4.

Both singlet and triplet solutions exist in the gap equation.

Abstract

A generalization of the Cooper pairing mechanism is proposed which allows for a triplet state of lower energy. This is achieved by incorporating spin into the canonical commutation relations and by modifying the $\delta$ potential contact interaction. The gap equation contain as solutions both singlet and triplet states. It is shown that the triplet state is lower in energy than the singlet state which may explain the spin-triplet superconductivity observed in heavy fermion compound UPt3 and in Sr$_2$RuO$_4$.