The Nonperiodic Anyon Model and the Fractional Quantum Hall Effect

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dc.creatorMashkevich, Stefan
dc.creatorOuvry, Stéphane
dc.date2007-05-17
dc.date.accessioned2026-07-07T08:02:00Z
dc.date.available2026-07-07T08:02:00Z
dc.descriptionThe lowest-Landau-level anyon model becomes nonperiodic in the statistics parameter when the finite size of the attached flux tubes is taken into account. The finite-size effects cause the inverse proportional relation between the critical filling factor and the statistics parameter to be nonperiodically continued in the screening regime, where the fluxes are anti-parallel to the external magnetic field -- at critical filling, the external magnetic field is entirely screened by the mean magnetic field associated with the flux tubes. A clustering argument is proposed to select particular values of the statistics parameter. In this way, IQHE and FQHE fillings are obtained in terms of gapped nondegenerate LLL-anyonic wave functions. Jain's series are reproduced without the need to populate higher Landau levels. New FQHE series are proposed, like, in particular, the particle-hole complementary series of the Laughlin one. For fast-rotating Bose-Einstein condensates, a corresponding clustering argument yields particular fractional filling series.
dc.description14 pages, 4 figures, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/0705.2474
dc.identifierhttp://arxiv.org/abs/0705.2474
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129094
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleThe Nonperiodic Anyon Model and the Fractional Quantum Hall Effect
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