Ground States and Phase Transition of the λ Model on the Cayley Tree
Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, The United Arab Emirates University, Al Ain, UAEChin Hee PahDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Kuantan, MalaysiaHakim JamilDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Kuantan, Malaysia
2018en
ABI
Annotatsiya
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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