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

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.

18 pages, 9 figures

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Cited by in corpus (7)

• Foliated-Exotic Duality in Fractonic BF Theories
• Fracton Self-Statistics
• Boundary Modes in the Chamon Model
• Hierarchy of Entanglement Renormalization and Long-Range Entangled States
• String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to $p$-String Condensation
• There and Back Again: A Gauging Nexus between Topological and Fracton Phases
• Planon-modular fracton orders