{ "id": "0712.0951", "version": "v1", "published": "2007-12-06T14:57:36.000Z", "updated": "2007-12-06T14:57:36.000Z", "title": "Tunneling of interacting fermions in 1D systems", "authors": [ "Andrej Gendiar", "Martin Mosko", "Pavel Vagner", "Radoslav Nemeth" ], "comment": "Conference proceedings", "journal": "Acta Physica Polonica 108 (2005) 661-667", "categories": [ "cond-mat.mes-hall" ], "abstract": "Using the self-consistent Hartree-Fock approximation for spinless electrons at zero temperature, we study tunneling of the interacting electron gas through a single delta-barrier in a finite one-dimensional (1D) wire connected to contacts. Our results exhibit features known from correlated many-body models. In particular, the conductance decays with the wire length as $\\propto L^{-2\\alpha}$, where the power $\\alpha$ is universal. We also show that a similar result for a wire conductance can be extracted from the persistent current (I) through the delta-barrier in a 1D ring, where it is known that I \\propto L^{-1-\\alpha}$.", "revisions": [ { "version": "v1", "updated": "2007-12-06T14:57:36.000Z" } ], "analyses": { "keywords": [ "1d systems", "interacting fermions", "self-consistent hartree-fock approximation", "wire conductance", "similar result" ], "tags": [ "conference paper", "journal article" ], "publication": { "journal": "Acta Physica Polonica A", "year": 2006, "month": "Oct", "volume": 108, "number": 10, "pages": 661 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006AcPPA.108..661G" } } }