The high-temperature expansion of the classical Ising model with S_z^2 term

Details The high-temperature expansion of the classical Ising model with S_z^2 term The high-temperature expansion of the classical Ising model with S_z^2 term

2010-09-21

arxiv.org/abs/1009.4078v4

Condens. Matter Phys., Vol. 15, No. 1, 13706 (2012)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.5488/CMP.15.13706

We derive the high-temperature expansion of the Helmholtz free energy up to the order \beta^{17} of the one-dimensional spin-S Ising model, with single-ion anisotropy term, in the presence of a longitudinal magnetic field. We show that the values of some thermodynamical functions for the ferromagnetic models, in the presence of a weak magnetic field, are not small corrections to their values with h=0. This model with S=3 was applied by Kishine et al. [J.-i. Kishine et al., Phys. Rev. B, 2006, 74, 224419] to analyze experimental data of the single-chain magnet [Mn (saltmen)]_2 [Ni(pac)_2 (py)_2] (PF_6)_2 for T<40 K. We show that for T<35 K the thermodynamic functions of the large-spin limit model are poor approximations to their analogous spin-3 functions.

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