Weyl superconductivity between trivial superconductor and topological crystalline superconductor phases with mirror symmetry

Weyl superconductivity can appear in three-dimensional superconductors breaking time-reversal symmetry. On the other hand, mirror-symmetric superconductors can realize topological crystalline superconductivity characterized by nontrivial mirror Chern numbers. We investigate Weyl superconductivity in an odd-parity and a noncentrosymmetric superconductor with mirror symmetry when time-reversal symmetry is broken. We show that Weyl nodes emerge in the superconductors when the mirror Chern number changes. As a result, it is found that Weyl superconductivity generally appears between the trivial and the topological crystalline superconductor phases. We also study a relationship between the topological phase transition and trajectories of the Weyl nodes which realize the topological crystalline superconductor phase.