Symmetry indicators for topological superconductors

A useful guiding principle for the search of topological superconductors is to relate the topological invariants to the behavior of the pairing order parameter on the normal-state Fermi surfaces. In this talk, we will discuss how this paradigm can be integrated with the notion of symmetry indicators [1]. The theory of symmetry indicators utilizes symmetry data of band structures to detect nontrivial topology, and it has enabled efficient surveys of topological materials candidates [2]. We will highlight the conceptual similarities and differences between such symmetry-based diagnostics for insulators and semimetals as compared to that for superconductors [3], and also address how the diagnosis can be integrated with ab initio calculations to predict the physical properties of unconventional superconductors [4].

[1] Po, H. C., Vishwanath, A. & Watanabe, H. Nat. Commun. 8, 50 (2017).
[2] Tang, F., Po, H. C., Vishwanath, A. & Wan, X. Nature 566, 486-489 (2019).
[3] Ono, S., Po, H.C., & Watanabe, H. Sci. Adv., 6, eaaz8367 (2020).
[4] Ono, S., Po, H.C., & Shiozaki, K. arXiv:2008.05499