Pairing symmetry signatures of T1 in superconducting ferromagnets

TL;DR

This paper investigates how different pairing symmetries in superconducting ferromagnets affect the nuclear relaxation rate, comparing theoretical models with experimental data to identify signatures of pairing symmetry.

Contribution

It provides a comparative analysis of p-wave and s-wave pairing signatures in nuclear relaxation rates within superconducting ferromagnets, applied to UGe2.

Findings

s-wave shows a Hebel-Slichter peak reduced by magnetization

p-wave shows no Hebel-Slichter peak

experimental data inconclusive to rule out s-wave pairing

Abstract

We study the nuclear relaxation rate 1/T1 as a function of temperature for a superconducting-ferromagnetic coexistent system using a p-wave triplet model for the superconducting pairing symmetry. This calculation is contrasted with a singlet s-wave one done previously, and we see for the s-wave case that there is a Hebel-Slichter peak, albeit reduced due to the magnetization, and no peak for the p-wave case. We then compare these results to a nuclear relaxation rate experiment on UGe2 to determine the possible pairing symmetry signatures in that material. It is seen that the experimental data is inconclusive to rule out the possibility of s-wave pairing in $UGe_{2}$.