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New type of exact solutions to the generalized Ashkin-Teller model and anisotropic Ising model with spin 3/2

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Abstract

The generalized Ashkin-Teller model involving both biquadratic and bilinear interactions between the Ising subsystems (α and s) and equivalent to the anisotropic Ising model with spin 3/2 is considered. For a certain magnitude of the opposite-sign bilinear interactions along the horizontal and vertical axes of a square lattice, the exact analytic solution is obtained that describes the phase transition between the disordered (〈α 〉=〈s〉=〈αs〉=0) and the correlated ordered (〈s〉 ≠0 and 〈α〉=〈s〉=0) states.

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Authors and Affiliations

  1. Institute of Surface Chemistry, National Academy of Sciences of Ukraine, 03164, Kiev, Ukraine

    V. M. Rozenbaum

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  1. V. M. Rozenbaum
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 78, No. 1, 2003, pp. 40–44.

Original Russian Text Copyright © 2003 by Rozenbaum.

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Rozenbaum, V.M. New type of exact solutions to the generalized Ashkin-Teller model and anisotropic Ising model with spin 3/2. Jetp Lett. 78, 34–37 (2003). https://doi.org/10.1134/1.1609573

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  • DOI: https://doi.org/10.1134/1.1609573

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