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arXiv · 2307.02235

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

Muzaffar M. Rahmatullaev·Obid Sh. Karshiboev
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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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Muzaffar M. Rahmatullaev, Obid Sh. Karshiboev. 2023-07-05. The phase transition for the three-state SOS model with one-level competing interactions on the binary tree. https://arxiv.org/abs/2307.02235

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