{ "id": "cond-mat/9712253", "version": "v1", "published": "1997-12-20T02:22:28.000Z", "updated": "1997-12-20T02:22:28.000Z", "title": "Large-q series expansion for the ground state degeneracy of the q-state Potts antiferromagnet on the (3.12^2) lattice", "authors": [ "Shan-Ho Tsai" ], "comment": "10 pages, Latex, 3 encapsulated postscript figures, to appear in Phys. Rev. E", "journal": "Phys. Rev. E57, 2686 (1998)", "doi": "10.1103/PhysRevE.57.2686", "categories": [ "cond-mat.stat-mech", "hep-lat" ], "abstract": "We calculate the large-$q$ series expansion for the ground state degeneracy (= exponent of the ground state entropy) per site of the $q$-state Potts antiferromagnet on the $(3 \\cdot 12^2)$ lattice, to order $O(y^{19})$, where $y=1/(q-1)$. We note a remarkable agreement, to $O(y^{18})$, between this series and a rigorous lower bound derived recently.", "revisions": [ { "version": "v1", "updated": "1997-12-20T02:22:28.000Z" } ], "analyses": { "keywords": [ "ground state degeneracy", "q-state potts antiferromagnet", "large-q series expansion", "ground state entropy", "rigorous lower bound" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }