Subsystem-Symmetry protected phases of matter
APA
Burnell, F. (2021). Subsystem-Symmetry protected phases of matter. Perimeter Institute. https://pirsa.org/21040009
MLA
Burnell, Fiona. Subsystem-Symmetry protected phases of matter. Perimeter Institute, Apr. 05, 2021, https://pirsa.org/21040009
BibTex
@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}} }
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.