{ "id": "cond-mat/9809227", "version": "v1", "published": "1998-09-17T02:38:36.000Z", "updated": "1998-09-17T02:38:36.000Z", "title": "Electron interactions, classical integrability, and level statistics in quantum dots", "authors": [ "Lilia Meza-Montes", "Sergio E. Ulloa", "Daniela Pfannkuche" ], "comment": "Proceed of Dresden Conf on Mesoscopic Systems", "journal": "Physica E, Vol 1 (1998)", "doi": "10.1016/S1386-9477(97)00059-3", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "The role of electronic interactions in the level structure of semiconductor quantum dots is analyzed in terms of the correspondence to the integrability of a classical system that models these structures. We find that an otherwise simple system is made strongly non-integrable in the classical regime by the introduction of particle interactions. In particular we present a two-particle classical system contained in a $d$-dimensional billiard with hard walls. Similarly, a corresponding two-dimensional quantum dot problem with three particles is shown to have interesting spectral properties as function of the interaction strength and applied magnetic fields.", "revisions": [ { "version": "v1", "updated": "1998-09-17T02:38:36.000Z" } ], "analyses": { "keywords": [ "level statistics", "electron interactions", "classical integrability", "corresponding two-dimensional quantum dot problem", "classical system" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }