{ "id": "1008.0650", "version": "v1", "published": "2010-08-03T20:11:49.000Z", "updated": "2010-08-03T20:11:49.000Z", "title": "Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance", "authors": [ "Michael R. Peterson", "Z. Papic", "S. Das Sarma" ], "comment": "25 pages, 27 figures", "journal": "Physical Review B 82, 235312 (2010)", "doi": "10.1103/PhysRevB.82.235312", "categories": [ "cond-mat.mes-hall" ], "abstract": "Two-component fractional quantum Hall systems are providing a major motivation for a large section of the physics community. Here we study two-component fractional quantum Hall systems in the spin-polarized half-filled lowest Landau level (filling factor 1/2) and second Landau level (filling factor 5/2) with exact diagonalization utilizing both the spherical and torus geometries. The two distinct two-component systems we consider are the true bilayer and effective bilayers (wide-quantum-well). In each model (bilayer and wide-quantum-well) we completely take into account inter-layer tunneling and charge imbalancing terms. We find that in the half-filled lowest Landau level, the FQHE is described by the two-component Abelian Halperin 331 state which is remarkably robust to charge imbalancing. In the half-filled second Landau, we find that the FQHE is likely described by the non-Abelian Moore-Read Pfaffian state which is also quite robust to charge imbalancing. Furthermore, we suggest the possibility of experimentally tuning from an Abelian to non-Abelian FQHE state in the second Landau level, and comment on recent experimental studies of FQHE in wide quantum well structures.", "revisions": [ { "version": "v1", "updated": "2010-08-03T20:11:49.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "71.10.Pm" ], "keywords": [ "fractional quantum hall effects", "half-filled lowest landau level", "two-component fractional quantum hall systems", "charge imbalance", "inter-layer tunneling" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Dec", "volume": 82, "number": 23, "pages": 235312 }, "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvB..82w5312P" } } }