The phase transition for the three-state SOS model with one-level competing interactions on the binary tree
Mathematical Physics
2023-07-06 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2307.02235,
title = {The phase transition for the three-state SOS model with one-level competing interactions on the binary tree},
author = {Muzaffar M. Rahmatullaev and Obid Sh. Karshiboev},
journal= {arXiv preprint arXiv:2307.02235},
year = {2023}
}
Comments
11 pages, 3 figures