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A Comment on the beta-expansion of s=1/2 and s=1 Ising Models

Winder A. Moura-Melo·Onofre Rojas·E. V. Correa Silva·S. M. de Souza·M. T. Thomaz
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Abstract

The purpose of the present work is to apply the method recently developed in reference [chain_m] to the spin-1 Ising chain, showing how to obtain analytical $β$-expansions of thermodynamical functions through this formalism. In this method, we do not solve any transfer matrix-like equations. A comparison between the $β$-expansions of the specific heat and the magnetic susceptibility for the $s=1/2$ and $s=1$ one-dimensional Ising models is presented. We show that those expansions have poorer convergence when the auxiliary function of the model has singularities.

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Winder A. Moura-Melo, Onofre Rojas, E. V. Correa Silva, S. M. de Souza, M. T. Thomaz. 2002-05-13. A Comment on the beta-expansion of s=1/2 and s=1 Ising Models. https://doi.org/10.1016/s0378-4371(02)01749-1

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