The phase transition for the three-state SOS model with one-level competing interactions on the binary tree

2023/07/05 by M. M. Rahmatullaev, Rahmatullaev, Muzaffar M., Obid Sh. Karshiboev +1
Mathematics · Physics and Astronomy · #82B20 #Complex Network Analysis Techniques #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 82B05 #Secondary 60K35 #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2307.02235

openalex publication_date 2023/07/05 · openalex created_date 2023/07/07 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a three-state solid-on-solid (SOS) model with two competing interactions (nearest-neighbour, one-level next-nearest-neighbour) on the Cayley tree of order two. We show that at some values of parameters the model exhibits a phase transition. We prove that for the model under some conditions there is no antiferromagnetic phases.

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