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

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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 
@article{TMF_2018_194_2_a5,
     author = {F. M. Mukhamedov and Ch. Pah and H. Jamil},
     title = {Ground states and phase transition of the~$\lambda$ model on {the~Cayley} tree},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {304--319},
     publisher = {mathdoc},
     volume = {194},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_194_2_a5/}
}
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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/