A First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect

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dc.creatorGinocchio, Joe
dc.creatorHaxton, Wick
dc.date1995-10-23
dc.date1996-04-11
dc.date.accessioned2026-07-07T12:33:09Z
dc.date.available2026-07-07T12:33:09Z
dc.descriptionWe show that the introduction of a more general closed-shell operator allows one to extend Laughlin's wave function to account for the richer hierarchies (1/3, 2/5, 3/7 ...; 1/5, 2/9, 3/13, ..., etc.) found experimentally. The construction identifies the special hierarchy states with condensates of correlated electron clusters. This clustering implies a single-particle (ls)j algebra within the first Landau level (LL) identical to that of multiply filled LLs in the integer quantum Hall effect. The end result is a simple generalized wave function that reproduces the results of both Laughlin and Jain, without reference to higher LLs or projection.
dc.descriptionRevtex. In this replacement we show how to generate the Jain wave function explicitly, by acting with the generalized ls closed-shell operator discussed in the original version. We also walk the reader through a classical 1d caricature of this problem so that he/she can better understand why 2s+1, where s is the spin, should be associated with the number of electrons associated with the underlying clusters or composites. 11 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/9510133
dc.identifierhttp://arxiv.org/abs/cond-mat/9510133
dc.identifierPhys.Rev.Lett.77:1568-1571,1996
dc.identifierdoi:10.1103/PhysRevLett.77.1568
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217025
dc.subjectCondensed Matter
dc.subjectNuclear Theory
dc.titleA First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect
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