{ "id": "1305.4469", "version": "v1", "published": "2013-05-20T09:26:13.000Z", "updated": "2013-05-20T09:26:13.000Z", "title": "A challenge for critical point of spin glass in ground state", "authors": [ "Masayuki Ohzeki" ], "comment": "7 pages, 2 figures, to appear in Proceedings of 4th YSM-SPIP (Sendai, 14-16 December 2012)", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech", "quant-ph" ], "abstract": "We show several calculations to identify the critical point in the ground state in random spin systems including spin glasses on the basis of the duality analysis. The duality analysis is a profound method to obtain the precise location of the critical point in finite temperature even for spin glasses. We propose a single equality for identifying the critical point in the ground state from several speculations. The equality can indeed give the exact location of the critical points for the bond-dilution Ising model on several lattices and provides insight on further analysis on the ground state in spin glasses.", "revisions": [ { "version": "v1", "updated": "2013-05-20T09:26:13.000Z" } ], "analyses": { "keywords": [ "critical point", "ground state", "spin glasses", "duality analysis", "random spin systems" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.4469O" } } }