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

2019/08/07 by M. M. Rahmatullaev, Rahmatullaev, M. M., M. R. Abdusalomova +3
Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Quantum many-body systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1908.02457

openalex publication_date 2019/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a nearest-neighbor solid-on-solid (SOS) model, with several spin values 0,1,2,...,m, m≥2 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.

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