Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice

We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable fixed points of the corresponding recurrence relation. We show that for q = 2 our model transforms to the two-state vertex model on the Bethe lattice with q = 3 and for the case q = 3, with only nearest neighbour interactions, we transform our model to the corresponding model on the Bethe lattice with q = 3 , using the Yang-Baxter equations. e-mail: [email protected] e-mail: [email protected] e-mail: [email protected]