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.
Is there a correlation length in a model with long-range interactions?
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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.