 Thermodynamics of the quantum and classical Ising models with skew magnetic fieldE.V. Corrêa Silva, James E.F. Skea, Onofre Rojas, S.M. de Souza and M.T. Thomaz Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 21, 5117-5126 Abstract: The thermodynamics of the unitary (normalized spin) quantum and classical Ising models with skew magnetic field, for |J|β≲0.9, is derived for the ferromagnetic and antiferromagnetic cases. The high-temperature expansion (β-expansion) of the Helmholtz free energy is calculated up to order β7 for the quantum version (spin S≥1/2) and up to order β19 for the classical version. In contrast to the S=1/2 case, the thermodynamics of the transverse Ising and that of the XY model for S>1/2 are not equivalent. Moreover, the critical line of the T=0 classical antiferromagnetic Ising model with skew magnetic field is absent from this classical model, at least in the temperature range of |J|β≲0.9. Keywords: Quantized spin models; Classical spin models; Statistical mechanics; Ising model; High-temperature expansion (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:21:p:5117-5126 DOI: 10.1016/j.physa.2008.05.033 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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