Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice
1998 ◽
Vol 12
(23)
◽
pp. 2349-2358
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Keyword(s):
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 neighbor 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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2016 ◽
Vol 49
(23)
◽
pp. 235001
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Keyword(s):
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2001 ◽
Vol 16
(11)
◽
pp. 1875-1887
Keyword(s):
1985 ◽
Vol 18
(15)
◽
pp. L439-L442
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Keyword(s):
2009 ◽
Vol 2009
(03)
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pp. P03003
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Keyword(s):
1988 ◽
Vol 49
(C8)
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pp. C8-1031-C8-1032
2007 ◽
Vol 383
(2)
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pp. 351-371
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