Abstract
We consider the λ 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.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 194, No. 1, pp. 304–319, February, 2018.
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Mukhamedov, F., Pah, C.H. & Jamil, H. Ground States and Phase Transition of the λ Model on the Cayley Tree. Theor Math Phys 194, 260–273 (2018). https://doi.org/10.1134/S004057791802006X
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DOI: https://doi.org/10.1134/S004057791802006X