{ "id": "cond-mat/0611654", "version": "v3", "published": "2006-11-26T15:13:50.000Z", "updated": "2007-08-02T16:53:54.000Z", "title": "Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart", "authors": [ "Massimo Ostilli", "Farrukh Mukhamedov", "José F. F. Mendes" ], "comment": "19 pages, 11 figures; content changed", "journal": "Physica A: Vol 387/12, 2777 (2008)", "doi": "10.1016/j.physa.2008.01.071", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We consider an Ising competitive model defined over a triangular Husimi tree where loops, responsible for an explicit frustration, are even allowed. After a critical analysis of the phase diagram, in which a ``gas of non interacting dimers (or spin liquid) - ferro or antiferromagnetic ordered state'' transition is recognized in the frustrated regions, we introduce the disorder for studying the spin glass version of the model: the triangular +/- J model. We find out that, for any finite value of the averaged couplings, the model exhibits always a phase transition, even in the frustrated regions, where the transition turns out to be a glassy transition. The analysis of the random model is done by applying a recently proposed method which allows to derive the upper phase boundary of a random model through a mapping with a corresponding non random one.", "revisions": [ { "version": "v3", "updated": "2007-08-02T16:53:54.000Z" } ], "analyses": { "keywords": [ "phase diagram", "disordered counterpart", "ising model", "competitive interactions", "transition" ], "tags": [ "journal article" ], "publication": { "journal": "Physica A Statistical Mechanics and its Applications", "year": 2008, "month": "May", "volume": 387, "number": 12, "pages": 2777 }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhyA..387.2777O" } } }