{ "id": "cond-mat/9811376", "version": "v1", "published": "1998-11-26T16:08:34.000Z", "updated": "1998-11-26T16:08:34.000Z", "title": "Coexistence of long-range order for two observables at finite temperatures", "authors": [ "N. Macris", "C. -A. Piguet" ], "comment": "12 pages, accepted for publication in J. of Phys. A", "doi": "10.1088/0305-4470/32/5/007", "categories": [ "cond-mat.stat-mech" ], "abstract": "We give a criterion for the simultaneous existence or non existence of two long-range orders for two observables, at finite temperatures, for quantum lattice many body systems. Our analysis extends previous results of G.-S. Tian limited to the ground state of similar models. The proof involves an inequality of Dyson-Lieb-Simon which connects the Duhamel two-point function to the usual correlation function. An application to the special case of the Holstein model is discussed.", "revisions": [ { "version": "v1", "updated": "1998-11-26T16:08:34.000Z" } ], "analyses": { "keywords": [ "long-range order", "finite temperatures", "observables", "coexistence", "usual correlation function" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }