Subsystem symmetry protected topological order
By Yizhi You, Trithep Devakul, F. Burnell, Shiv Sondhi. Physical review B, 2018
140 citations recorded by the source corpus.
In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along lines or planes in a three dimensional system. The symmetry groups for such systems exhibit a macroscopic number of generators in the infinite volume limit. We construct a set of exactly solvable models in $2d$ and $3d$ which exhibit such subsystem SPT (SSPT) phases with one dimensional subsystem symmetries. These phases exhibit analogs of phenomena seen in SPTs protected by global symmetries: gapless edge modes, projective realizations of the symmetries at the edge and non-local order parameters. Such SSPT phases are proximate, in theory space, to previously studied phases that break the subsystem symmetries and phases with fracton order which result upon gauging them.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/a7505b136c6af93fba451f6442d7d854406b68c8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Fracton phases of matter (2020, methodology): “The toy model we introduce here is a subsystem symmetric topological state[131–136] with gapless edge modes, which we refer to as topological plaquette Ising model (TPIM).”
- Fracton hydrodynamics (2020, background): “[30] Yizhi You, Trithep Devakul, FJ Burnell, and SL Sondhi, “Subsystem symmetry protected topological order,” Physical Review B 98, 035112 (2018).”