Layered Kitaev-Ising spin-orbital models map to N-flavor Hubbard models with emergent SU(N) symmetry; mean-field for N=3 yields intertwined orders and spin fragmentation with liquid orbitals.
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Higher-form entanglement asymmetry serves as a sub-leading order parameter for 2D Abelian topological order, comparable to topological entanglement entropy and expressible via quantum dimension, with scaling that detects order even in deformed models.
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Fractionalization, emergent SU($N$) symmetries, and fragmentation in layered quantum spin-orbital models
Layered Kitaev-Ising spin-orbital models map to N-flavor Hubbard models with emergent SU(N) symmetry; mean-field for N=3 yields intertwined orders and spin fragmentation with liquid orbitals.
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Higher-form entanglement asymmetry and topological order
Higher-form entanglement asymmetry serves as a sub-leading order parameter for 2D Abelian topological order, comparable to topological entanglement entropy and expressible via quantum dimension, with scaling that detects order even in deformed models.