{ "id": "cond-mat/0601356", "version": "v2", "published": "2006-01-17T02:05:31.000Z", "updated": "2006-03-10T04:19:45.000Z", "title": "Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices", "authors": [ "Hidetoshi Nishimori", "Masayuki Ohzeki" ], "comment": "9 pages, 1 figure; Minor corrections in notation", "journal": "J. Phys. Soc. Jpn. 75 (2006) 034004", "doi": "10.1143/JPSJ.75.034004", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "A conjecture is given for the exact location of the multicritical point in the phase diagram of the +/- J Ising model on the triangular lattice. The result p_c=0.8358058 agrees well with a recent numerical estimate. From this value, it is possible to derive a comparable conjecture for the exact location of the multicritical point for the hexagonal lattice, p_c=0.9327041, again in excellent agreement with a numerical study. The method is a variant of duality transformation to relate the triangular lattice directly with its dual triangular lattice without recourse to the hexagonal lattice, in conjunction with the replica method.", "revisions": [ { "version": "v2", "updated": "2006-03-10T04:19:45.000Z" } ], "analyses": { "keywords": [ "hexagonal lattice", "ising spin glass", "multicritical point", "exact location", "dual triangular lattice" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of the Physical Society of Japan", "year": 2006, "month": "Mar", "volume": 75, "number": 3, "pages": 4004 }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006JPSJ...75c4004N" } } }