Dissipative chiral superconductors in 3D

Topological band theories that describe insulators, superconductors and (semi)metals are conventionally classified according to the Altland-Zirnbauer classification based on the presence or absence of local time-reversal and particle-hole symmetries. More recently, there are theoretical generalizations that incorporate non-local magnetic space group symmetries. There are more exotic combined antiunitary spatial symmetries that involve particle-hole conjugation and may be allowed in a non-Hermitian system. In this talk, we focus on the classification, model realization and topological-index characterization of dissipative topological superconductors in 3D and the corresponding dissipative chiral Majorana fermion on the boundary surface.