{ "id": "cond-mat/0201174", "version": "v1", "published": "2002-01-11T14:23:38.000Z", "updated": "2002-01-11T14:23:38.000Z", "title": "Phase transition in a 2-dimensional Heisenberg model", "authors": [ "Henk W. J. Bloete", "Wenan Guo", "Henk J. Hilhorst" ], "comment": "6 pages, 5 encapsulated postscript figures; to appear in Physical Review Letters", "doi": "10.1103/PhysRevLett.88.047203", "categories": [ "cond-mat.stat-mech" ], "abstract": "We investigate the two-dimensional classical Heisenberg model with a nonlinear nearest-neighbor interaction V(s,s')=2K[(1+s.s')/2 ]^p. The analogous nonlinear interaction for the XY model was introduced by Domany, Schick, and Swendsen, who find that for large p the Kosterlitz-Thouless transition is preempted by a first-order transition. Here we show that, whereas the standard (p=1) Heisenberg model has no phase transition, for large enough p a first-order transition appears. Both phases have only short range order, but with a correlation length that jumps at the transition.", "revisions": [ { "version": "v1", "updated": "2002-01-11T14:23:38.000Z" } ], "analyses": { "subjects": [ "05.50.+q", "64.60.Cn", "64.60.Fr", "75.10.Hk" ], "keywords": [ "phase transition", "short range order", "nonlinear nearest-neighbor interaction", "first-order transition appears", "two-dimensional classical heisenberg model" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "inspire": 801692 } } }