# Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals

## TL;DR

This paper predicts the emergence of odd-frequency equal-spin triplet pairing on the surface of Weyl nodal loop semimetals, leading to a finite Josephson current, and explores how ferromagnets influence this pairing.

## Contribution

It introduces the concept of odd-frequency equal-spin triplet pairing on Weyl nodal loop semimetal surfaces and its impact on Josephson current, highlighting the role of surface state spin polarization.

## Key findings

- Odd-frequency equal-spin triplet pairing exists on the surface.
- A finite Josephson current is generated by this pairing.
- Ferromagnets can induce mixed-spin triplet pairing without affecting the current if orthogonal to DSS spin polarization.

## Abstract

We theoretically predict proximity-induced odd-frequency (odd-$\omega$) pairing on the surface of a Weyl nodal loop semimetal, characterized by a nodal loop Fermi surface and drumhead-like surface states (DSSs), attached to conventional spin-singlet $s$-wave superconducting leads. Due to the complete spin polarization of the DSS, odd-$\omega$ equal-spin triplet pairing is present, and we show that it gives rise to a finite Josephson current. Placing an additional ferromagnet in the junction can also generate odd-$\omega$ mixed-spin triplet pairing, but the pairing and current is not affected if the magnetization is orthogonal to the DSS spin-polarization, which further confirms the equal-spin structure of the pairing.