Symmetry indicators of topological insulators and superconductors

Haruki Watanabe

University of Tokyo

The interplay between symmetry and topology has been the central subject of condensed matter physics over decades. In particular, the systematic diagnosis of band topology enabled by the method of “symmetry indicators” underlies the recent advances in the search for new materials realizing topological crystalline insulators.
In this talk, we review the symmetry indicators for band insulators first and then discuss the extension of the formalism to topological superconductors.