Ferromagnetic Ising spin systems on the growing random tree

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概要

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• We analyze the ferromagnetic Ising model on a scale-free tree; the growing random tree model with the linear attachment kernel A_k=k+α. We derive an estimate of the divergent temperature T_s below which the zero-field susceptibility of the system diverges. Our result shows that T_s is related to α as tanh(J/T_s)=α/[2(α+1)], where J is the ferromagnetic interaction. An analysis of exactly solvable limit for the model and numerical calculation supports the validity of this estimate.

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American Physical Society | 論文

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