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

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

1998-07-06

arxiv.org/abs/cond-mat/9807079v1

IJMPB 12, 2349-2358 (1998)

Physics

Condensed Matter

10 pages, 3 figures

Scientific paper

10.1142/S0217979298001361

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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