Spectrum structure for a three-dimensional periodic array of quantum dots in a uniform magnetic field
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0605629,
title = {Spectrum structure for a three-dimensional periodic array of quantum dots in a uniform magnetic field},
author = {J. Bruening and V. V. Demidov and V. A. Geyler and A. V. Popov},
journal= {arXiv preprint arXiv:cond-mat/0605629},
year = {2007}
}
Comments
10 pages, 5 figures