The geometric structure of the Landau bands

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dc.creatorBruening, J.
dc.creatorDobrokhotov, S. Yu.
dc.creatorGeyler, V. A.
dc.creatorPankrashkin, K. V.
dc.date2002-05-21
dc.date.accessioned2026-07-07T02:45:34Z
dc.date.available2026-07-07T02:45:34Z
dc.descriptionWe have proposed a semiclassical explanation of the geometric structure of the spectrum for the two-dimensional Landau Hamiltonian with a two-periodic electric field without any additional assumptions on the potential. Applying an iterative averaging procedure we approximately, with any degree of accuracy, separate variables and describe a given Landau band as the spectrum of a Harper-like operator. The quantized Reeb graph for such an operator is used to obtain the following structure of the Landau band: localized states on the band wings and extended states near the middle of the band. Our approach also shows that different Landau bands have different geometric structure.
dc.description4 pages, 3 figure, RevTeX 4
dc.identifierhttps://arxiv.org/abs/cond-mat/0205443
dc.identifierhttp://arxiv.org/abs/cond-mat/0205443
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19341
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleThe geometric structure of the Landau bands
dc.typetext

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