Abstract
It is shown that the critical indices of completely integrable spin models in quasi-crystals coincide with the critical indices of the corresponding models in crystals. A classification is given of thermodynamic phases of the eight-vertex model and the pair correlation function of the Ising model in a quasicrystal is found.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 161, pp. 13–23, 1987.
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Antonov, N.V., Korepin, V.E. Critical properties and correlation functions of the eight-vertex model on a quasicrystal. J Math Sci 46, 2058–2065 (1989). https://doi.org/10.1007/BF01096088
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DOI: https://doi.org/10.1007/BF01096088