Condensing non-Abelian (σσ̄,1)-loops in the extended Ising cage-net model drives a phase transition to the X-cube model on a truncated cubic lattice, splitting non-Abelian planons into sub-dimensional excitations.
Chamon,Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection,Physical Review Letters94(2005) 040402
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Non-Abelian Particle-Loop, Fracton, and Planon Condensation in Cage-Net Models
Condensing non-Abelian (σσ̄,1)-loops in the extended Ising cage-net model drives a phase transition to the X-cube model on a truncated cubic lattice, splitting non-Abelian planons into sub-dimensional excitations.