{ "id": "1108.3178", "version": "v1", "published": "2011-08-16T08:18:30.000Z", "updated": "2011-08-16T08:18:30.000Z", "title": "Ground States for Potts Model with Competing Interactions on Cayley Tree", "authors": [ "G. I. Botirov" ], "comment": "7 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "We consider the Potts model with two-step interactions and spin values 1,2,3,4 on a Cayley tree. We describe periodic ground states and verify the Peierls condition for the model.", "revisions": [ { "version": "v1", "updated": "2011-08-16T08:18:30.000Z" } ], "analyses": { "subjects": [ "82B20" ], "keywords": [ "potts model", "cayley tree", "competing interactions", "periodic ground states", "two-step interactions" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.3178B" } } }