PIRSA:19100080

Symmetry indicators for topological materials

Po, A. (2019). Symmetry indicators for topological materials. Perimeter Institute. https://pirsa.org/19100080

Po, Adrian. Symmetry indicators for topological materials. Perimeter Institute, Oct. 22, 2019, https://pirsa.org/19100080 

          @misc{ pirsa_PIRSA:19100080,
            doi = {10.48660/19100080},
            url = {https://pirsa.org/19100080},
            author = {Po, Adrian},
            keywords = {Condensed Matter},
            language = {en},
            title = {Symmetry indicators for topological materials},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {oct},
            note = {PIRSA:19100080 see, \url{https://pirsa.org}}
          }

Adrian Po

Massachusetts Institute of Technology (MIT)

Talk number
PIRSA:19100080
Collection
Talk Type
Subject
Abstract

Many free-fermion topological phases can be diagnosed by analyzing a suitable collection of symmetry data. While the Fu-Kane parity criterion for topological insulators is an early example, the systematic generalization to cover all possible crystalline symmetries and their associated topological phases has only recently been achieved. Interestingly, a key step in the generalization is to recognize the importance of understanding the entanglement-free product states: once these trivial phases are completely mapped, the topological ones are naturally exposed as the “remainders.” In this talk, we will first introduce the theory of symmetry indicators for topological (crystalline) insulators and semimetals, and then discuss how it can be generalized to cover superconductors.