Foliated fracton order is a qualitatively new kind of phase of matter. It is similar to topological order, but with the fundamental difference that a layered structure, referred to as a foliation, plays an essential role and determines the mobility restrictions of the topological excitations. In this work, we introduce a new kind of field theory to describe these phases: a foliated field theory. We also introduce a new lattice model and string-membrane-net condensation picture of these phases, which is analogous to the string-net condensation picture of topological order.
Cited by 1
Albert T. Schmitz et al., Entanglement spectra of stabilizer codes: A window into gapped quantum phases of matter
Phys. Rev. B 99, 205109 (2019) [Crossref]