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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3 Pith papers cite this work. Polarity classification is still indexing.
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Degeneracies of energy levels in the Kitaev quantum double model for arbitrary discrete group G and genus are expressed via S-matrix elements, giving the exact partition function for finite systems.
Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric codes.
citing papers explorer
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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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Partition function of the Kitaev quantum double model
Degeneracies of energy levels in the Kitaev quantum double model for arbitrary discrete group G and genus are expressed via S-matrix elements, giving the exact partition function for finite systems.
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Entropic Barriers and the Kinetic Suppression of Topological Defects
Coupling to mesoscopic reservoirs generates temperature-increasing entropic barriers that suppress topological defect creation and transport, yielding three-regime correlation lengths in 1D Ising chains and double error reduction in finite-size 2D toric codes.