Abstract
We extend the Kasteleyn–Fortuin formalism to the discrete N-vector ferromagnet. We show that the free energy and the correlation functions of this model are related, when the number of states tends to 1, to the mean number of clusters and to the pair connectedness of a polychromatic bond percolation type problem which combines frustration and connectivity features.
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de Magalhães, A.C.N., Mariz, A.M. The Discrete N-Vector Ferromagnet: Connection to a Percolation with Frustration Features. Journal of Statistical Physics 90, 827–851 (1998). https://doi.org/10.1023/A:1023233205322
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DOI: https://doi.org/10.1023/A:1023233205322