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

N. S. Ananikian·R. G. Ghulghazaryan·N. Sh. Izmailian
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Abstract

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.

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N. S. Ananikian, R. G. Ghulghazaryan, N. Sh. Izmailian. 1998-07-06. Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice. https://doi.org/10.1142/s0217979298001361

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