{ "id": "cond-mat/9711058", "version": "v1", "published": "1997-11-06T20:05:33.000Z", "updated": "1997-11-06T20:05:33.000Z", "title": "Complex-Temperature Partition Function Zeros of the Potts Model on the Honeycomb and Kagomé Lattices", "authors": [ "Heiko Feldmann", "Robert Shrock", "Shan-Ho Tsai" ], "comment": "28 pages, Revtex, 18 encapsulated postscript figures, Phys. Rev. E, in press", "journal": "Phys. Rev. E57, 1335 (1998)", "doi": "10.1103/PhysRevE.57.1335", "categories": [ "cond-mat.stat-mech", "hep-lat" ], "abstract": "We calculate complex-temperature (CT) zeros of the partition function for the $q$-state Potts model on the honeycomb and kagom\\'e lattices for several values of $q$. These give information on the CT phase diagrams. A comparison of results obtained for different boundary conditions and a discussion of some CT singularities are given. Among other results, our findings show that the Potts antiferromagnet with $q=4$ and $q=5$ on the kagom\\'e lattice has no phase transition at either finite or zero temperature.", "revisions": [ { "version": "v1", "updated": "1997-11-06T20:05:33.000Z" } ], "analyses": { "keywords": [ "complex-temperature partition function zeros", "kagome lattice", "ct phase diagrams", "state potts model", "phase transition" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "RevTeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }