A two-dimensional analog of a doped Weyl superconductor

One route towards achieving topological superconductivity is to utilize the nontrivial topology associated with the Bloch states at the normal-state Fermi surfaces, as in the case of a doped Weyl semimetal. Here, we proposed a more general framework for relating the nontrivial band topology of the normal state Hamiltonian with the resulting superconductor within the weak-coupling mean-field description, which encompasses both the nodal and gapped topological cases. We showed that some of the known obstructions to getting a gapped superconductor could be readily interpreted within our framework, and also applied it to new symmetry classes. In particular, we discussed a concrete model of a nodal superconductor with an (effective) time-reversal symmetry, which could be viewed as a two-dimensional analog of a doped Weyl superconductor.