Spectrum structure for a three-dimensional periodic array of quantum dots in a uniform magnetic field

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dc.creatorBruening, J.
dc.creatorDemidov, V. V.
dc.creatorGeyler, V. A.
dc.creatorPopov, A. V.
dc.date2006-05-25
dc.date.accessioned2026-07-07T07:09:12Z
dc.date.available2026-07-07T07:09:12Z
dc.descriptionBy means of the operator extension theory, we construct an explicitly solvable model of a simple-cubic three-dimensional regimented array of quantum dots in the presence of a uniform magnetic field. The spectral properties of the model are studied. It is proved that for each magnetic flux the band is the image of the spectrum of the tight-binding operator under an analytical transformation. In the case of rational magnetic flux the spectrum is described analytically. The flux-energy and angle-energy diagrams are obtained numerically.
dc.description10 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0605629
dc.identifierhttp://arxiv.org/abs/cond-mat/0605629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110973
dc.subjectMesoscale and Nanoscale Physics
dc.titleSpectrum structure for a three-dimensional periodic array of quantum dots in a uniform magnetic field
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