{ "id": "0808.2124", "version": "v1", "published": "2008-08-15T10:31:33.000Z", "updated": "2008-08-15T10:31:33.000Z", "title": "Monte Carlo studies of extensions of the Blume-Emery-Griffiths model", "authors": [ "C. C. Loois", "G. T. Barkema", "C. Morais Smith" ], "comment": "9 pages, 12 figures", "doi": "10.1103/PhysRevB.78.184519", "categories": [ "cond-mat.stat-mech", "cond-mat.supr-con" ], "abstract": "We extend the Blume-Emery-Griffiths (BEG) model to a two-component BEG model in order to study 2D systems with two order parameters, such as magnetic superconductors or two-component Bose-Einstein condensates. The model is investigated using Monte Carlo simulations, and the temperature-concentration phase diagram is determined in the presence and absence of an external magnetic field. This model exhibits a rich phase diagram, including a second-order transition to a phase where superconductivity and magnetism coexist. Results are compared with experiments on Cerium-based heavy-fermion superconductors. To study cold atom mixtures, we also simulate the BEG and two-component BEG models with a trapping potential. In the BEG model with a trap, there is no longer a first order transition to a true phase-separated regime, but a crossover to a kind of phase-separated region. The relation with imbalanced fermi-mixtures is discussed. We present the phase diagram of the two-component BEG model with a trap, which can describe boson-boson mixtures of cold atoms. Although there are no experimental results yet for the latter, we hope that our predictions could help to stimulate future experiments in this direction.", "revisions": [ { "version": "v1", "updated": "2008-08-15T10:31:33.000Z" } ], "analyses": { "subjects": [ "67.85.Fg", "05.10.Ln" ], "keywords": [ "monte carlo studies", "two-component beg model", "blume-emery-griffiths model", "extensions", "study cold atom mixtures" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "Nov", "volume": 78, "number": 18, "pages": 184519 }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..78r4519L" } } }