Ground states and phase transition of the λ model on the Cayley tree

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 meas...

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Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Jamil, Hakim, Pah, Chin Hee
Format: Article
Language:English
English
Published: Pleiades Publishing, Ltd. 2018
Subjects:
Online Access:http://irep.iium.edu.my/65012/
http://irep.iium.edu.my/65012/
http://irep.iium.edu.my/65012/
http://irep.iium.edu.my/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf
http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf

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