Duality Relation among Periodic Potential Problems in the Lowest Landau Level

Details Duality Relation among Periodic Potential Problems in the Lowest Landau Level Duality Relation among Periodic Potential Problems in the Lowest Landau Level

1997-04-03

arxiv.org/abs/cond-mat/9704023v2

Phys. Rev. B 58 (1998) 1088

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 3 figures, final version to appear in PRB

Scientific paper

10.1103/PhysRevB.58.1088

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.

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