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

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

2006-05-25

arxiv.org/abs/cond-mat/0605629v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 5 figures

Scientific paper

By 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.

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