{ "id": "cond-mat/9903240", "version": "v1", "published": "1999-03-15T23:04:53.000Z", "updated": "1999-03-15T23:04:53.000Z", "title": "How long does it take for the Kondo effect to develop?", "authors": [ "Peter Nordlander", "Michael Pustilnik", "Yigal Meir", "Ned S. Wingreen", "David C. Langreth" ], "comment": "4 pages, 4 figures", "doi": "10.1103/PhysRevLett.83.808", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "The time-development of the Kondo effect is theoretically investigated by studying a quantum dot suddenly shifted into the Kondo regime by a change of voltage on a nearby gate. Using time-dependent versions of both the Anderson and Kondo Hamiltonians, it is shown that after a time $t$ following the voltage shift, the form of the Kondo resonance matches the {\\it time-independent} resonance at an effective temperature $T_{eff} = T/\\tanh(\\pi T t/2)$. Relevance of the buildup of the Kondo resonance to the transport current through a quantum dot is demonstrated.", "revisions": [ { "version": "v1", "updated": "1999-03-15T23:04:53.000Z" } ], "analyses": { "keywords": [ "kondo effect", "quantum dot", "kondo resonance matches", "nearby gate", "transport current" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }