{ "id": "cond-mat/0606788", "version": "v2", "published": "2006-06-30T00:31:59.000Z", "updated": "2006-07-02T10:03:45.000Z", "title": "Quantum master equation scheme of time-dependent density functional theory to time-dependent transport in nano-electronic devices", "authors": [ "Xin-Qi Li", "YiJing Yan" ], "comment": "9 pages, no figures", "journal": "Phys. Rev. B 75, 075114 (2007)", "doi": "10.1103/PhysRevB.75.075114", "categories": [ "cond-mat.mes-hall" ], "abstract": "In this work a practical scheme is developed for the first-principles study of time-dependent quantum transport. The basic idea is to combine the transport master-equation with the well-known time-dependent density functional theory. The key ingredients of this paper include: (i) the partitioning-free initial condition and the consideration of the time-dependent bias voltages which base our treatment on the Runge-Gross existence theorem; (ii) the non-Markovian master equation for the reduced (many-body) central system (i.e. the device); and (iii) the construction of Kohn-Sham master equation for the reduced single-particle density matrix, where a number of auxiliary functions are introduced and their equations of motion (EOM) are established based on the technique of spectral decomposition. As a result, starting with a well-defined initial state, the time-dependent transport current can be calculated simultaneously along the propagation of the Kohn-Sham master equation and the EOM of the auxiliary functions.", "revisions": [ { "version": "v2", "updated": "2006-07-02T10:03:45.000Z" } ], "analyses": { "keywords": [ "time-dependent density functional theory", "quantum master equation scheme", "time-dependent transport", "nano-electronic devices", "kohn-sham master equation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }