Nodal lines and nodal loops in non-symmorphic odd-parity superconductors

TL;DR

This paper investigates the impact of non-symmorphic symmetries on the nodal structures of odd-parity superconductors, considering various symmetry conditions, with implications for understanding unconventional superconductors like UPt3.

Contribution

It provides a detailed analysis of how non-symmorphic symmetries influence nodal structures in odd-parity superconductors under different symmetry scenarios.

Findings

Non-symmorphic symmetries impose constraints on nodal structures.

The presence or absence of spin-orbit coupling and time-reversal symmetry affects nodal configurations.

Implications for understanding the superconducting gap structure in UPt3.

Abstract

We discuss the nodal structure of odd-parity superconductors in the presence of non-symmorphic crystal symmetries, both with and without spin-orbit coupling, and with and without time reversal symmetry. We comment on the relation of our work to previous work in the literature, and also the implications for unconventional superconductors such as UPt$_3$.