Duality Relation among Periodic Potential Problems in the Lowest Landau Level
Mesoscale and Nanoscale Physics
2009-10-30 v2 High Energy Physics - Theory
Abstract
Using a momentum representation of a magnetic von Neumann lattice, we study a two-dimensional electron in a uniform magnetic field and obtain one-particle spectra of various periodic short-range potential problems in the lowest Landau level.We find that the energy spectra satisfy a duality relation between a period of the potential and a magnetic length. The energy spectra consist of the Hofstadter-type bands and flat bands. We also study the connection between a periodic short-range potential problem and a tight-binding model.
Cite
@article{arxiv.cond-mat/9704023,
title = {Duality Relation among Periodic Potential Problems in the Lowest Landau Level},
author = {K. Ishikawa and N. Maeda and T. Ochiai and H. Suzuki},
journal= {arXiv preprint arXiv:cond-mat/9704023},
year = {2009}
}
Comments
6 pages, 3 figures, final version to appear in PRB