{ "id": "cond-mat/9803178", "version": "v1", "published": "1998-03-13T20:45:28.000Z", "updated": "1998-03-13T20:45:28.000Z", "title": "Composite particles in the Theory of Quantum Hall Effect", "authors": [ "T. Asselmeyer", "R. Keiper" ], "comment": "RevTeX 3.0, LaTeX, 10 pages, one table at th end", "categories": [ "cond-mat.mes-hall" ], "abstract": "The formation of composite particles in the electron liquid under QHE conditions discussed by Jain in generalizing Laughlins many-particle state is considered by using a model for two-dimensional guiding center configurations. Describing the self-consistent field of electron repulsion by a negative parabolic potential on effective centers and an inter-center amount we show that with increasing magnetic field the ground state of so-called primary composite particles $\\nu=\\frac{1}{q}$, $q=1,3,5,... $, is given for higher negative quantum numbers of the total angular momentum. By clustering of primary composite particles due to absorption or emission of flux quanta we explain phenomenologically the quasi-particle structure behind the series of relevant filling factors $\\nu=\\frac{p}{q}$, $p=1,2,3,...$. Our considerations show that the complicate interplay of electron-magnetic field and electron-electron interactions in QHE systems may be understood in terms of adding flux quanta $\\Phi_0$ to charges $e$ and binding of charges by flux quanta.", "revisions": [ { "version": "v1", "updated": "1998-03-13T20:45:28.000Z" } ], "analyses": { "subjects": [ "02.40.Ma", "02.40.Vh", "73.40.Hm", "02.40.Re" ], "keywords": [ "quantum hall effect", "primary composite particles", "total angular momentum", "generalizing laughlins many-particle state", "higher negative quantum numbers" ], "tags": [ "journal article" ], "publication": { "doi": "10.1002/(SICI)1521-3951(199906)213:2<365::AID-PSSB365>3.0.CO;2-G", "journal": "Physica Status Solidi B Basic Research", "year": 1999, "month": "Jun", "volume": 213, "number": 2, "pages": 365 }, "note": { "typesetting": "RevTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 492296, "adsabs": "1999PSSBR.213..365A" } } }