{ "id": "cond-mat/9901176", "version": "v1", "published": "1999-01-19T10:35:38.000Z", "updated": "1999-01-19T10:35:38.000Z", "title": "The Critical Behaviour of the Spin-3/2 Blume-Capel Model in Two Dimensions", "authors": [ "J. C. Xavier", "F. C. Alcaraz", "D. Pena Lara", "J. A. Plascak" ], "comment": "latex 18 pages, 4 figures", "journal": "Phys. Rev. B vol. 57 pg. 11575 (1998)", "doi": "10.1103/PhysRevB.57.11575", "categories": [ "cond-mat.stat-mech" ], "abstract": "The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its $\\tau$-continuum Hamiltonian version is also considered and compared with others spin-3/2 quantum chains. Our results indicate that differently from the standard spin-1 Blume-Capel model there is no multicritical point along the order-disorder transition line. This is in qualitative agreement with mean field prediction but in disagreement with previous approximate renormalization group calculations. We also presented new results for the spin-1 Blume-Capel model.", "revisions": [ { "version": "v1", "updated": "1999-01-19T10:35:38.000Z" } ], "analyses": { "keywords": [ "blume-capel model", "critical behaviour", "dimensions", "approximate renormalization group calculations", "monte carlo simulations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "LaTeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }