On ground states and phase transition for λ-model with the competing Potts interactions on Cayley trees

• Main Authors: Mukhamedov, Farrukh, Pah, Chin Hee, Jamil, Hakim, Rahmatullaev, Muzaffar
• Format: Article
• Language: English; English
• Published: Elsevier 2020
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/78404/7/78404%20On%20ground%20states%20and%20phase%20transition-in-press.pdf; http://irep.iium.edu.my/78404/8/78404%20On%20ground%20states%20and%20phase%20transition-in-press-SCOPUS.pdf; http://irep.iium.edu.my/78404/; https://www.sciencedirect.com/science/article/pii/S0378437120300273
• Institution: Universiti Islam Antarabangsa Malaysia

In this paper, the lambda-model with nearest neighbor interactions is considered with competing Potts interactions on the Cayley tree of order-two. Notice that if lambda-function is taken as a Potts interaction function, then this model reduces to the Potts model with competing interactions. The Pot...