Correlation function diagnostics for type-I fracton phases

Trithep Devakul, S. A. Parameswaran, Shivaji Lal Sondhi

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


Fracton phases are recent entrants to the roster of topological phases in three dimensions. They are characterized by subextensively divergent topological degeneracy and excitations that are constrained to move along lower-dimensional subspaces, including the eponymous fractons that are immobile in isolation. We develop correlation function diagnostics to characterize type-I fracton phases which build on their exhibiting partial deconfinement. These are inspired by similar diagnostics from standard gauge theories and utilize a generalized gauging procedure that links fracton phases to classical Ising models with subsystem symmetries. En route, we explicitly construct the space-time partition function for the plaquette Ising model which, under such gauging, maps into the X-cube fracton topological phase. We numerically verify our results for this model via Monte Carlo calculations.

Original languageEnglish (US)
Article number041110
JournalPhysical Review B
Issue number4
StatePublished - Jan 18 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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