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

• URL: http://arxiv.org/abs/2206.12791v1
• Date: Sun, 26 Jun 2022 05:33:17 GMT
• Title: Emergent fermionic gauge theory and foliated fracton order in the Chamon model
• Authors: Wilbur Shirley, Xu Liu, Arpit Dua
• Abstract summary: We show that the Chamon model hosts 4-foliated fracton order. We describe an entanglement renormalization group transformation that exfoliates four separate stacks of 2D toric codes from the bulk system.
• Score: 2.0989524801728465
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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