{ "id": "cond-mat/0207694", "version": "v2", "published": "2002-07-30T05:57:17.000Z", "updated": "2002-09-25T01:17:56.000Z", "title": "Energy fluctuations at the multicritical point in two-dimensional spin glasses", "authors": [ "Hidetoshi Nishimori", "Cyril Falvo", "Yukiyasu Ozeki" ], "comment": "9 pages, 7 figures; Note added", "journal": "J. Phys. A 35 (2002) 8171", "doi": "10.1088/0305-4470/35/39/303", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We study the two-dimensional +/-J Ising model, three-state Potts model and four-state Potts model, by the numerical transfer matrix method to investigate the behaviour of the sample-to-sample fluctuations of the internal energy on the Nishimori line. The result shows a maximum at the multicritical point in all the models we investigated. The large sample-to-sample fluctuations of the internal energy as well as the existence of a singularity in these fluctuations imply that the bond configuration (or, equivalently, the distribution of frustrated plaquettes) may be experiencing a non-trivial change of its behaviour at the multicritical point. This observation is consistent with the picture that the phase transition at the multicritical point is of geometry-induced nature.", "revisions": [ { "version": "v2", "updated": "2002-09-25T01:17:56.000Z" } ], "analyses": { "keywords": [ "multicritical point", "two-dimensional spin glasses", "energy fluctuations", "internal energy", "numerical transfer matrix method" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }