{ "id": "0903.4415", "version": "v2", "published": "2009-03-25T18:28:25.000Z", "updated": "2009-06-09T16:52:21.000Z", "title": "Fractional quantum Hall state at ν=1/4 in a wide quantum well", "authors": [ "Z. Papic", "G. Moller", "M. V. Milovanovic", "N. Regnault", "M. O. Goerbig" ], "comment": "14 pages, 8 figures; minor changes, accepted for publication in Phys. Rev. B", "journal": "Phys. Rev. B 79, 245325 (2009)", "doi": "10.1103/PhysRevB.79.245325", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We investigate, with the help of Monte-Carlo and exact-diagonalization calculations in the spherical geometry, several compressible and incompressible candidate wave functions for the recently observed quantum Hall state at the filling factor $\\nu=1/4$ in a wide quantum well. The quantum well is modeled as a two-component system by retaining its two lowest subbands. We make a direct connection with the phenomenological effective-bilayer model, which is commonly used in the description of a wide quantum well, and we compare our findings with the established results at $\\nu=1/2$ in the lowest Landau level. At $\\nu=1/4$, the overlap calculations for the Halperin (5,5,3) and (7,7,1) states, the generalized Haldane-Rezayi state and the Moore-Read Pfaffian, suggest that the incompressible state is likely to be realized in the interplay between the Halperin (5,5,3) state and the Moore-Read Pfaffian. Our numerics shows the latter to be very susceptible to changes in the interaction coefficients, thus indicating that the observed state is of multicomponent nature.", "revisions": [ { "version": "v2", "updated": "2009-06-09T16:52:21.000Z" } ], "analyses": { "subjects": [ "73.43.Cd", "73.21.Fg", "71.10.Pm" ], "keywords": [ "fractional quantum hall state", "wide quantum", "moore-read pfaffian", "incompressible candidate wave functions", "lowest landau level" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2009, "month": "Jun", "volume": 79, "number": 24, "pages": 245325 }, "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvB..79x5325P" } } }