Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors

TL;DR

This paper presents a comprehensive phase diagram for Weyl superconductivity in mirror-symmetric superconductors, elucidating the conditions for topological phase transitions and the role of Weyl nodes in these processes.

Contribution

It introduces a generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors, highlighting the emergence of Weyl phases and their relation to topological invariants.

Findings

Weyl superconductivity appears between trivial and topological phases.

The trajectory of Weyl nodes determines changes in mirror Chern numbers.

Particle-hole symmetry influences Weyl node trajectories and topological phases.

Abstract

We study topological phase transitions in three-dimensional odd-parity or noncentrosymmetric superconductors with mirror symmetry when time-reversal symmetry is broken. We construct a generic phase diagram for Weyl superconductivity in the mirror-symmetric superconductors. It is shown that Weyl superconductivity generally emerges between the trivial and the topological crystalline superconductor phases. We demonstrate how a trajectory of the Weyl nodes determines the change in mirror Chern numbers in the topological phase transition. We also discuss a relationship between particle-hole symmetry and the trajectory of the Weyl nodes which realizes the topological crystalline superconductor phase.