{ "id": "1003.5599", "version": "v2", "published": "2010-03-29T16:27:33.000Z", "updated": "2010-03-30T18:54:08.000Z", "title": "The de Almeida-Thouless line in vector spin glasses", "authors": [ "Auditya Sharma", "A. P. Young" ], "comment": "19 pages, 4 eps figures", "doi": "10.1103/PhysRevE.81.061115", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We consider the infinite-range spin glass in which the spins have m > 1 components (a vector spin glass). Applying a magnetic field which is random in direction, there is an Almeida Thouless (AT) line below which the \"replica symmetric\" solution is unstable, just as for the Ising (m=1) case. We calculate the location of this AT line for Gaussian random fields for arbitrary m, and verify our results by numerical simulations for m = 3$.", "revisions": [ { "version": "v2", "updated": "2010-03-30T18:54:08.000Z" } ], "analyses": { "subjects": [ "05.50.+q", "75.50.Lk", "75.40.Mg" ], "keywords": [ "vector spin glasses", "almeida-thouless line", "infinite-range spin glass", "gaussian random fields", "magnetic field" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2010, "month": "Jun", "volume": 81, "number": 6, "pages": "061115" }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvE..81f1115S" } } }