Microscopic theory of the quantum Hall hierarchy

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dc.creatorBergholtz, E. J.
dc.creatorHansson, T. H.
dc.creatorHermanns, M.
dc.creatorKarlhede, A.
dc.date2007-02-22
dc.date2008-01-03
dc.date.accessioned2026-07-07T08:52:12Z
dc.date.available2026-07-07T08:52:12Z
dc.descriptionWe solve the quantum Hall problem exactly in a limit and show that the ground states can be organized in a fractal pattern consistent with the Haldane-Halperin hierarchy, and with the global phase diagram. We present wave functions for a large family of states, including those of Laughlin and Jain and also for states recently observed by Pan {\it et. al.}, and show that they coincide with the exact ones in the solvable limit. We submit that they establish an adiabatic continuation of our exact results to the experimentally accessible regime, thus providing a unified approach to the hierarchy states.
dc.description4 pages, 2 figures. Published
dc.identifierhttps://arxiv.org/abs/cond-mat/0702516
dc.identifierhttp://arxiv.org/abs/cond-mat/0702516
dc.identifierPhys. Rev. Lett. 99, 256803 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.256803
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145200
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleMicroscopic theory of the quantum Hall hierarchy
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