{ "id": "0809.2503", "version": "v1", "published": "2008-09-15T12:30:40.000Z", "updated": "2008-09-15T12:30:40.000Z", "title": "Monte Carlo studies of the Ising square lattice with competing interactions", "authors": [ "A. Kalz", "A. Honecker", "S. Fuchs", "T. Pruschke" ], "comment": "4 pages, 4 figures, accepted for publication in the proceedings of the conference on Highly Frustrated Magnets 2008 in Braunschweig", "journal": "J. Phys.: Conf. Ser. 145 (2009) 012051", "doi": "10.1088/1742-6596/145/1/012051", "categories": [ "cond-mat.stat-mech", "cond-mat.str-el" ], "abstract": "We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a critical point at $J_2 = J_1/2$ where the groundstate is highly degenerate. To analyse the phase boundaries we look at the specific heat and the energy distribution for various ratios of $J_2/J_1$. We find a first order transition for small $J_2 > J_1/2$ and the transition temperature suppressed to $T_C=0$ at the critical point.", "revisions": [ { "version": "v1", "updated": "2008-09-15T12:30:40.000Z" } ], "analyses": { "keywords": [ "monte carlo studies", "ising square lattice", "competing interactions", "first order transition", "next-nearest neighbour bonds" ], "tags": [ "conference paper", "journal article" ], "publication": { "journal": "Journal of Physics Conference Series", "year": 2009, "month": "Jan", "volume": 145, "number": 1, "pages": "012051" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009JPhCS.145a2051K" } } }