{"title":"Ground-state properties of the antiferromagnetic potts model in an external field","authors":"Loïc Turban","doi":"10.1016/0375-9601(83)90478-4","DOIUrl":null,"url":null,"abstract":"<div><p>The ground-state properties of the antiferromagnetic <em>q</em>-state Potts model in an external field are studied. At the upper critical field this model may be mapped onto a hard-core lattice gas with activity <em>z</em> = <em>q</em> −1. This allows us to get some exact results for the triangular lattice on which the corresponding hard hexagon problem has been recently solved by Baxter.</p></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"93 8","pages":"Pages 426-428"},"PeriodicalIF":2.6000,"publicationDate":"1983-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0375-9601(83)90478-4","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0375960183904784","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
The ground-state properties of the antiferromagnetic q-state Potts model in an external field are studied. At the upper critical field this model may be mapped onto a hard-core lattice gas with activity z = q −1. This allows us to get some exact results for the triangular lattice on which the corresponding hard hexagon problem has been recently solved by Baxter.
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