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

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 $\beta$-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.

12 pages, 8 figures

References in corpus (1)

• High Temperature Expansion for a Chain Model

Cited by in corpus (4)

• The magnetization plateaus of the ferro and anti-ferro spin-1 classical models with $S_z^2$ term
• The high temperature expansion of the classical $XYZ$ chain
• The high-temperature expansion of the classical Ising model with S_z^2 term
• The $\beta$-expansion of the $D=1$ fermionic spinless Hubbard model off the half-filling regime