In the variable-range Ising model, correlations are algebraic up to distance Z then exponential, while entanglement scales as Z^{-γ} at criticality independent of partition size and α>1.
Ma, Statistical Mechanics (World Scientific Publishing, Singapore, Singapore, 1985)
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Scaling of entanglement entropy and correlations in the variable-range extended Ising model
In the variable-range Ising model, correlations are algebraic up to distance Z then exponential, while entanglement scales as Z^{-γ} at criticality independent of partition size and α>1.