Subsystem-Symmetry protected phases of matter


Burnell, F. (2021). Subsystem-Symmetry protected phases of matter. Perimeter Institute. https://pirsa.org/21040009


Burnell, Fiona. Subsystem-Symmetry protected phases of matter. Perimeter Institute, Apr. 05, 2021, https://pirsa.org/21040009


          @misc{ pirsa_21040009,
            doi = {10.48660/21040009},
            url = {https://pirsa.org/21040009},
            author = {Burnell, Fiona},
            keywords = {Condensed Matter},
            language = {en},
            title = {Subsystem-Symmetry protected phases of matter},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {apr},
            note = {PIRSA:21040009 see, \url{https://pirsa.org}}

Fiona Burnell University of Minnesota


We know that different systems with the same unbroken global symmetry can nevertheless be in distinct phases of matter.  These different "symmetry-protected topological" phases are characterized by protected (gapless) surface states.  After reviewing this physics in interacting systems with global symmetries, I will describe how a different class of symmetries known as subsystem symmetries, which are neither local nor global, can also lead to protected gapless boundaries.  I will discuss how some of these subsystem-symmetry protected phases are related (though not equivalent) to interacting higher-order topological insulators, with protected gapless modes along corners or hinges in higher dimensional systems.