Pub Date : 2024-12-01DOI: 10.1016/S0034-4877(24)00082-X
Muhayyo A. Rasulova
We consider a (q + 1)-state Potts model with nonzero external field on the Cayley tree. We describe all ground states for this model with a translation-invariant external field and all two-periodic ground states with a periodic external field.
{"title":"Ground states for the potts model with an external field","authors":"Muhayyo A. Rasulova","doi":"10.1016/S0034-4877(24)00082-X","DOIUrl":"10.1016/S0034-4877(24)00082-X","url":null,"abstract":"<div><div>We consider a <em>(q +</em> 1)-state Potts model with nonzero external field on the Cayley tree. We describe all ground states for this model with a translation-invariant external field and all two-periodic ground states with a periodic external field.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"94 3","pages":"Pages 325-334"},"PeriodicalIF":1.0,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143317063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}