{ "id": "1311.5680", "version": "v1", "published": "2013-11-22T08:58:17.000Z", "updated": "2013-11-22T08:58:17.000Z", "title": "Uniform Electron Gas under An External Bias: The Generalized Thomas-Fermi-Dirac Model and the Dual-Mean-Field Theory", "authors": [ "Chun Zhang" ], "comment": "6 pages, 3 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "The uniform electron gas placed between two reservoirs is used as a model system for molecular junctions under an external bias. The energetics of the electron gas are calculated by generalizing the Thomas-Fermi-Dirac (TFD) model to nonequilibrium cases. We show that when the bias voltage is not zero, the first Hohenberg-Kohn (HK) theorem breaks down, and energies of the electron gas can be determined by the total electron density together with the density of nonequilibrium electrons, supporting the dual-mean-field (DMF) theory recently proposed by us [J. Chem. Phys. 139, (2013) 191103]. The generalization of TFD functionals to DMF ones is also discussed.", "revisions": [ { "version": "v1", "updated": "2013-11-22T08:58:17.000Z" } ], "analyses": { "keywords": [ "generalized thomas-fermi-dirac model", "external bias", "dual-mean-field theory", "total electron density", "uniform electron gas" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.5680Z" } } }