Superconducting States in Doped Topological Materials

There are considerable interests in topological superconductivity in condensed matter physics. In this talk, I will present our recent works on topological superconductors and the related phenomena. In particular, I will discuss how topological non-trivial structures in normal states may arise non-trivial quantum phenomena in the superconducting states. As examples, I will discuss odd parity superconductors [1], superconducting states in Cu-doped Bi2Se3[2, 3], and doped Weyl semi-metal[4]. In the latter two cases, I will show that topological surface states in the normal states give rise to novel topological quantum phenomena in superconducting states.