The Ising fusion category lattice model features a symmetric critical phase equivalent to the Ising model, a categorical ferromagnetic phase with threefold degeneracy, and a critical categorical antiferromagnetic phase with fourfold degeneracy described by an Ising CFT.
Kitaev, Anyons in an exactly solved model and be- yond, Annals of Physics321, 2 (2006), arXiv:cond- mat/0506438
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Long-range dipolar interactions on a breathed Kagome lattice stabilize a chiral spin liquid, identified via DMRG and proposed for adiabatic preparation and edge-mode detection.
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Symmetry breaking phases and transitions in an Ising fusion category lattice model
The Ising fusion category lattice model features a symmetric critical phase equivalent to the Ising model, a categorical ferromagnetic phase with threefold degeneracy, and a critical categorical antiferromagnetic phase with fourfold degeneracy described by an Ising CFT.
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A Dipolar Chiral Spin Liquid on the Breathed Kagome Lattice
Long-range dipolar interactions on a breathed Kagome lattice stabilize a chiral spin liquid, identified via DMRG and proposed for adiabatic preparation and edge-mode detection.