# s+if pairing in Ising superconductors

## TL;DR

This paper demonstrates that applying an in-plane Zeeman field to non-centrosymmetric Ising superconductors induces a conversion from singlet s-wave pairs to equal-spin triplet pairs, enhancing the critical transition line through a geometric phase mechanism.

## Contribution

It introduces a novel mechanism of singlet to triplet pairing conversion in Ising superconductors driven by Zeeman fields, highlighting a geometric phase origin.

## Key findings

- Zeeman field converts singlet s-wave pairs to triplet pairs
- Critical transition line is enhanced beyond Ising spin-orbit coupling predictions
- The conversion process involves a phase transformation with a geometric origin

## Abstract

We show that an in-plane Zeeman field applied to non-centrosymmetric Ising superconductors converts singlet $s$-wave Cooper pairs to equal-spin triplet $if$ pairs, leading to an enhancement of the critical transition line beyond expected from Ising spin-orbit coupling. Singlet to triplet conversion relates to a phase transformation due to spin rotation by the Zeeman field and has a geometric origin. The discussion is especially relevant, but not limited to monolayer transition metal dichalcogenides.