Distilling Fractons from Layered Subsystem-Symmetry Protected Phases

Understand

It is well-known that 3D Type-I fracton models can be obtained from the condensations of stacked layers of 2D anyons.

• It is less obvious if 3D Type-II fractons can be understood from a similar perspective.
• In this paper, we affirm that this is the case: we produce the paradigm Type-II fracton model, Haah's cubic code, from a 2D layer construction.
• However, this is not a condensation of 2D anyons, but rather we start with stacks of 2D subsystem-symmetry protected topological states (SSPT).