EXACT RESULTS OF A GENERAL SPIN-1 MODEL ON 2D DECORATED LATTICES

By the decoration-iteration transformation, we find a general relation between interaction parameters of a general spin-1 model on any latti ce with unique coordination number and on its decorated lattice. We ob tain three exact phase transition points of the general spin-1 model o n two-dimensional decorated lattices in terms of the exact results of the model on corresponding two-dimensional regular lattices, including the triangle, square, kagome and honeycomb lattices. We find the crit ical temperatures have no exact relation with the average coordination number and the type of coordination number for both the Ising model a nd the general spin-1 model.