{ "id": "1610.08657", "version": "v1", "published": "2016-10-27T08:25:17.000Z", "updated": "2016-10-27T08:25:17.000Z", "title": "Critical properties of the eight-vertex model in a field", "authors": [ "Roman Krčmár", "Ladislav Šamaj" ], "comment": "7 pages, 10 figures", "journal": "EPL 115 (2016) 56001", "doi": "10.1209/0295-5075/115/56001", "categories": [ "cond-mat.stat-mech" ], "abstract": "The general eight-vertex model on a square lattice is studied numerically by using the Corner Transfer Matrix Renormalization Group method. The method is tested on the symmetric (zero-field) version of the model, the obtained dependence of critical exponents on model's parameters is in agreement with Baxter's exact solution and weak universality is verified with a high accuracy. It was suggested longtime ago that the symmetric eight-vertex model is a special exceptional case and in the presence of external fields the eight-vertex model falls into the Ising universality class. We confirm numerically this conjecture in a subspace of vertex weights, except for two specific combinations of vertical and horizontal fields for which the system still exhibits weak universality.", "revisions": [ { "version": "v1", "updated": "2016-10-27T08:25:17.000Z" } ], "analyses": { "keywords": [ "critical properties", "transfer matrix renormalization group method", "corner transfer matrix renormalization group", "weak universality", "eight-vertex model falls" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }