PIRSA:21040009 Scientific Series Condensed Matter

DOI10.48660/21040009

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_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}}
}

Abstract

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.

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