The high temperature expansion of the classical XYZ chain

E.V. Corrêa Silva, Onofre Rojas, James E.F. Skea, S.M. de Souza and M.T. Thomaz

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 1, 185-198

Abstract: The β-expansion of the Helmholtz free energy (HFE) up to order β12 of the classical XYZ model with a single-ion anisotropy term and external magnetic field is calculated and compared to the numerical solution of Joyce's [Phys. Rev. Lett. 19 (1967) 581] for the XXZ classical model, with neither single-ion anisotropy term nor external magnetic field. This comparison shows that the derived analytical expansion is valid for intermediate temperatures such as kT/Jx≈0.5. The specific heat and magnetic susceptibility of the S=2 antiferromagnetic chain can be approximated by their respective classical results, within an error of 2.5%, up to kT/J≈0.8. For a vanishing external magnetic field the ferromagnetic and antiferromagnetic chains are shown to have the same classical HFE; their behaviour in a non-vanishing external magnetic field is also described.

Keywords: Strongly correlated electrons; High temperature expansion; Classical XYZ chain model (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:1:p:185-198

DOI: 10.1016/j.physa.2006.09.015

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