Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977902 | Physica A: Statistical Mechanics and its Applications | 2008 | 10 Pages |
Abstract
The thermodynamics of the unitary (normalized spin) quantum and classical Ising models with skew magnetic field, for |J|βâ²0.9, 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 Sâ¥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|βâ²0.9.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
E.V. Corrêa Silva, James E.F. Skea, Onofre Rojas, S.M. de Souza, M.T. Thomaz,