PIRSA:18110093

Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way

Turzillo, A. (2018). Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way. Perimeter Institute. https://pirsa.org/18110093

Turzillo, Alex. Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way. Perimeter Institute, Nov. 20, 2018, https://pirsa.org/18110093 

          @misc{ pirsa_PIRSA:18110093,
            doi = {10.48660/18110093},
            url = {https://pirsa.org/18110093},
            author = {Turzillo, Alex},
            keywords = {Condensed Matter},
            language = {en},
            title = {Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110093 see, \url{https://pirsa.org}}
          }

Alex Turzillo Perimeter Institute for Theoretical Physics

DOI 10.48660/18110093
Collection
Talk Type Scientific Series
Subject

Abstract

It is well-known that sufficiently strong interactions can destabilize some SPT phases of free fermions, while others remain stable even in the presence of interactions. It is also known that certain interacting phases cannot be realized by free fermions. In this talk, we will study both of these phenomena in low dimensions and determine the map from free to interacting SPT phases for an arbitrary unitary symmetry. We will also describe how to compute invariants characterizing interacting phases for free band Hamiltonians with symmetry (in any dimension) using only representation theory.