{ "id": "cond-mat/0505695", "version": "v2", "published": "2005-05-30T15:53:59.000Z", "updated": "2005-12-20T17:57:23.000Z", "title": "Failure of the Wiedemann-Franz Law in Mesoscopic Conductors", "authors": [ "Maxim G. Vavilov", "A. Douglas Stone" ], "comment": "published version, 6 pages, 4 figures", "journal": "Phys. Rev. B 72, 205107 (2005)", "doi": "10.1103/PhysRevB.72.205107", "categories": [ "cond-mat.mes-hall" ], "abstract": "We study the effect of mesoscopic fluctuations on the validity of the Wiedemann--Franz (WF) law for quasi-one-dimensional metal wires and open quantum dots. At temperatures much less than the generalized Thouless energy, E_c, the WF law is satisfied for each specific sample but as the temperature is raised through E_c a sample-specific correction to the WF law of order 1/g appears (g is the dimensionless conductance) and then tends to zero again at high temperatures. The mesoscopic violation of the Weidemann-Franz law is even more pronounced in a ring geometry, for which Lorenz number exhibits h/e flux-periodic Aharonov-Bohm oscillations.", "revisions": [ { "version": "v2", "updated": "2005-12-20T17:57:23.000Z" } ], "analyses": { "keywords": [ "mesoscopic conductors", "wiedemann-franz law", "wf law", "h/e flux-periodic aharonov-bohm oscillations", "quasi-one-dimensional metal wires" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }