Geodesic
Ground states and phase transition of the $\lambda$ model on the Cayley tree
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 304-319 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the $\lambda$ model, a generalization of the Potts model, with spin values $\{1,2,3\}$ on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.
Keywords: ground state, Gibbs measure.
Mots-clés : phase transition 
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F. M. Mukhamedov; Ch. Pah; H. Jamil. Ground states and phase transition of the $\lambda$ model on the Cayley tree. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 304-319. http://geodesic.mathdoc.fr/item/TMF_2018_194_2_a5/

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