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arXiv · 2206.12791

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

Wilbur Shirley·Xu Liu·Arpit Dua
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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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Wilbur Shirley, Xu Liu, Arpit Dua. 2022-06-26. Emergent fermionic gauge theory and foliated fracton order in the Chamon model. https://doi.org/10.1103/physrevb.107.035136

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