Acn. Demagalhaes et Am. Mariz, THE DISCRETE N-VECTOR FERROMAGNET - CONNECTION TO A PERCOLATION WITH FRUSTRATION FEATURES, Journal of statistical physics, 90(3-4), 1998, pp. 827-851
We extend the Kasteleyn-Fortuin formalism to the discrete N-vector fer
romagnet. We show that the free energy and the correlation functions o
f 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 polychroma
tic bond percolation type problem which combines frustration and conne
ctivity features.