{ "id": "1102.1675", "version": "v3", "published": "2011-02-08T18:02:01.000Z", "updated": "2011-05-24T13:29:15.000Z", "title": "Disappearance of the de Almeida-Thouless line in six dimensions", "authors": [ "M. A. Moore", "A. J. Bray" ], "comment": "Additional text and one figure added", "journal": "Phys. Rev. B 83, 224408 (2011)", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We show that the Almeida-Thouless line in Ising spin glasses vanishes when their dimension d -> 6 as h_{AT}^2/T_c^2 = C(d-6)^4(1- T/T_c)^{d/2 - 1}, where C is a constant of order unity. An equivalent result which could be checked by simulations is given for the one-dimensional Ising spin glass with long-range interactions. It is shown that replica symmetry breaking also stops as d -> 6.", "revisions": [ { "version": "v3", "updated": "2011-05-24T13:29:15.000Z" } ], "analyses": { "subjects": [ "75.10.Nr", "05.50.+q", "75.40.Cx", "75.50.Lk" ], "keywords": [ "almeida-thouless line", "disappearance", "ising spin glasses vanishes", "one-dimensional ising spin glass", "order unity" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "doi": "10.1103/PhysRevB.83.224408", "year": 2011, "month": "Jun", "volume": 83, "number": 22, "pages": 224408 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvB..83v4408M" } } }