Abstract
We show that the two-dimensional isotropic ferromagnetic rotator model exhibits a first order phase transition if the interaction decays asr −α with 2<α<4.
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Mermin, N. D., Wagner, H.: Phys. Rev. Letter17, 1133 (1966)
Ruelle, D.: Statistical Mechanics, p. 131. New York: Benjamin 1969
Mermin, N. D.: J. Math. Phys.8, 1061 (1967)
Vuillermot, P.-A., Romério, M. V.: Commun. math. Phys.41, 281 (1975)
Dobrushin, R. L., Shlosman, S. B.: Commun. math. Phys.42, 31–40 (1975)
Fisher, M. E.: J. Appl. Phys.38, 981 (1966)
Mermin, N. D.: J. Phys. Soc. Japan26 (Suppl.), 203 (1969)
Thouless, D. J.: Phys. Rev.187, 732 (1969)
Dyson, F. J.: Commun. math. Phys.12, 91 (1969)
Dyson, F. J.: Commun. math. Phys.21, 269 (1971)
Ginibre, J.: Commun. math. Phys.16, 310 (1970)
Griffiths, R. B.: Phys. Rev.152, 240 (1966)
Knopp, K.: Theorie und Anwendung der unendlichen Reihen, chap. 3. Berlin-Heidelberg-New York: Springer 1964
Baker, A.: Phys. Rev.135, 2622 (1972)
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Communicated by G. Gallavotti
Work supported by “Fonds National Suisse de la Recherche Scientifique”.
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Kunz, H., Pfister, C.E. First order phase transition in the plane rotator ferromagnetic model in two dimensions. Commun.Math. Phys. 46, 245–251 (1976). https://doi.org/10.1007/BF01609121
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DOI: https://doi.org/10.1007/BF01609121