{ "id": "cond-mat/9911459", "version": "v1", "published": "1999-11-29T11:31:35.000Z", "updated": "1999-11-29T11:31:35.000Z", "title": "Scaling at the chaos threshold in an interacting quantum dot", "authors": [ "X. Leyronas", "P. G. Silvestrov", "C. W. J. Beenakker" ], "comment": "4 pages including 2 figures", "journal": "Phys.Rev.Lett. 84, 3414 (2000)", "doi": "10.1103/PhysRevLett.84.3414", "categories": [ "cond-mat.mes-hall" ], "abstract": "The chaotic mixing by random two-body interactions of many-electron Fock states in a confined geometry is investigated numerically and compared with analytical predictions. Two distinct regimes are found in the dependence of the inverse participation ratio in Fock space I on the dimensionless conductance of the quantum dot g and the excitation energy E. In both regimes I>>1, but only the small-g regime is described by the golden rule. The crossover region is characterized by a maximum in a scaling function that becomes more pronounced with increasing excitation energy. The scaling parameter that governs the transition is (E/g)ln g.", "revisions": [ { "version": "v1", "updated": "1999-11-29T11:31:35.000Z" } ], "analyses": { "keywords": [ "interacting quantum dot", "chaos threshold", "many-electron fock states", "random two-body interactions", "inverse participation ratio" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }