Ground states for the SOS model with an external field on the Cayley tree

M. M. Rahmatullaev; M. R. Abdusalomova; M. A. Rasulova

Ground states for the SOS model with an external field on the Cayley tree

Mathematical Physics 2019-08-08 v1 math.MP

Authors: M. M. Rahmatullaev , M. R. Abdusalomova , M. A. Rasulova

Abstract

We consider a nearest-neighbor solid-on-solid (SOS) model, with several spin values $0,1,2,...,m, m\geq2$ and non zero external field, on a Cayley tree of order $k$ . In the case $k=2, m=2$ , we describe translation-invariant ground states for the SOS model with a translation-invariant external field. Some periodic ground states for the SOS model with periodic external field are described.

Keywords

solid-on-solid model cayley tree external field ground states translation-invariant periodic ground states

Cite

@article{arxiv.1908.02457,
  title  = {Ground states for the SOS model with an external field on the Cayley tree},
  author = {M. M. Rahmatullaev and M. R. Abdusalomova and M. A. Rasulova},
  journal= {arXiv preprint arXiv:1908.02457},
  year   = {2019}
}

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