{ "id": "0805.0983", "version": "v2", "published": "2008-05-07T13:31:50.000Z", "updated": "2008-09-15T12:02:16.000Z", "title": "Phase diagram of the Ising square lattice with competing interactions", "authors": [ "A. Kalz", "A. Honecker", "S. Fuchs", "T. Pruschke" ], "comment": "5 pages including 6 figures, accepted for publication in EPJ B", "journal": "Eur. Phys. J. B 65, 533-537 (2008)", "doi": "10.1140/epjb/e2008-00359-6", "categories": [ "cond-mat.stat-mech", "cond-mat.str-el" ], "abstract": "We restudy the phase diagram of the 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds via Monte-Carlo simulations. We present the finite temperature phase diagram and introduce computational methods which allow us to calculate transition temperatures close to the critical point at $J_2 = 0.5 J_1$. Further on we investigate the character of the different phase boundaries and find that the transition is weakly first order for moderate $J_2 > 0.5 J_1$.", "revisions": [ { "version": "v2", "updated": "2008-09-15T12:02:16.000Z" } ], "analyses": { "subjects": [ "05.50.+q", "75.10.Hk", "64.60.De" ], "keywords": [ "ising square lattice", "competing interactions", "finite temperature phase diagram", "next-nearest neighbour bonds", "transition temperatures close" ], "tags": [ "journal article" ], "publication": { "journal": "European Physical Journal B", "year": 2008, "month": "Oct", "volume": 65, "number": 4, "pages": 533 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008EPJB...65..533K" } } }