Emergent fermionic gauge theory and foliated fracton order in the Chamon model

Understand

The Chamon model is an exactly solvable spin Hamiltonian exhibiting nontrivial fracton order.

• In this work, we dissect two distinct aspects of the model.
• First, we show that it exhibits an emergent fractonic gauge theory coupled to a fermionic subsystem symmetry-protected topological state under four stacks of $\mathbb{Z}_2$ planar symmetries.
• Second, we show that the Chamon model hosts 4-foliated fracton order by describing an entanglement renormalization group transformation that exfoliates four separate stacks of 2D toric codes from the bulk system.