{ "id": "cond-mat/0208444", "version": "v1", "published": "2002-08-23T04:11:16.000Z", "updated": "2002-08-23T04:11:16.000Z", "title": "Numerical Results for Ground States of Mean-Field Spin Glasses at low Connectivities", "authors": [ "S. Boettcher" ], "comment": "4 pages, RevTex4, 5 ps-figures included, related papers available at http://www.physics.emory.edu/faculty/boettcher/", "journal": "Physical Review B 67, Rapid Communications 060403 (2003)", "doi": "10.1103/PhysRevB.67.060403", "categories": [ "cond-mat.dis-nn" ], "abstract": "An extensive list of results for the ground state properties of spin glasses on random graphs is presented. These results provide a timely benchmark for currently developing theoretical techniques based on replica symmetry breaking that are being tested on mean-field models at low connectivity. Comparison with existing replica results for such models verifies the strength of those techniques. Yet, we find that spin glasses on fixed-connectivity graphs (Bethe lattices) exhibit a richer phenomenology than has been anticipated by theory. Our data prove to be sufficiently accurate to speculate about some exact results.", "revisions": [ { "version": "v1", "updated": "2002-08-23T04:11:16.000Z" } ], "analyses": { "keywords": [ "mean-field spin glasses", "low connectivity", "numerical results", "ground state properties", "replica symmetry" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }