For arbitrary S, integer spins show a continuous 3D XY deconfinement transition in the small-anisotropy regime while half-integer spins stay in a U(1) Coulomb liquid; only S=3/2 retains a first-order transition at finite temperature because thermal monopoles round all continuous transitions into a 3
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Hybrid Kitaev-Yao-Lee models on common lattices produce magnetic order in spins while preserving orbital topological order, and regain exact solvability when Yao-Lee and square-lattice couplings are equal and opposite.
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Topological Phase Transitions and Their Thermodynamic Fate in Arbitrary-$S$ Pyrochlore Spin Ice
For arbitrary S, integer spins show a continuous 3D XY deconfinement transition in the small-anisotropy regime while half-integer spins stay in a U(1) Coulomb liquid; only S=3/2 retains a first-order transition at finite temperature because thermal monopoles round all continuous transitions into a 3
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Frustrated magnetic order in hybrid Kitaev spin-orbital models
Hybrid Kitaev-Yao-Lee models on common lattices produce magnetic order in spins while preserving orbital topological order, and regain exact solvability when Yao-Lee and square-lattice couplings are equal and opposite.