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

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

2002-05-13

arxiv.org/abs/cond-mat/0205273v1

Physica A322 (2003) 393-406

Physics

Condensed Matter

12 pages, 8 figures

Scientific paper

10.1016/S0378-4371(02)01749-1

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 $\beta$-expansions of thermodynamical functions through this formalism. In this method, we do not solve any transfer matrix-like equations. A comparison between the $\beta$-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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