{ "id": "1303.1605", "version": "v2", "published": "2013-03-07T04:55:44.000Z", "updated": "2013-04-11T03:27:02.000Z", "title": "Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets", "authors": [ "Liang Tian", "Hui Ma", "Wenan Guo", "Lei-Han Tang" ], "comment": "6 pages, 6 figures; figures corrected", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q>=1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions.", "revisions": [ { "version": "v2", "updated": "2013-04-11T03:27:02.000Z" } ], "analyses": { "keywords": [ "q-state potts model", "multiply-laced sierpinski gaskets", "phase transitions", "exact renormalization group analysis yields", "sierpinski fractal lattices" ], "tags": [ "journal article" ], "publication": { "doi": "10.1140/epjb/e2013-40173-5", "journal": "European Physical Journal B", "year": 2013, "month": "May", "volume": 86, "number": 5, "pages": 197 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013EPJB...86..197T" } } }