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

• Main Authors: Mukhamedov, Farrukh, Jamil, Hakim, Pah, Chin Hee
• Format: Article
• Language: English; English
• Published: Pleiades Publishing, Ltd. 2018
• Subjects: QA300 Analysis
• Online Access: http://irep.iium.edu.my/65012/1/65012_GROUND%20STATES%20AND%20PHASE%20TRANSITION.pdf; http://irep.iium.edu.my/65012/2/TOC%20Journal.pdf; http://irep.iium.edu.my/65012/; https://link.springer.com/journal/volumesAndIssues/11232

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...