Butterfly-like spectra and collective modes of antidot superlattices in magnetic fields

Details Butterfly-like spectra and collective modes of antidot superlattices in magnetic fields Butterfly-like spectra and collective modes of antidot superlattices in magnetic fields

1999-07-07

arxiv.org/abs/cond-mat/9907095v1

Phys. Rev. B 60, 7744 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages with 2 embeded eps figures. Uses revtex, multicol and graphicx styles. Accepted for publication in PRB Brief Reports

Scientific paper

10.1103/PhysRevB.60.7744

We calculate the energy band structure for electrons in an external periodic potential combined with a perpendicular magnetic field. Electron-electron interactions are included within a Hartree approximation. The calculated energy spectra display a considerable degree of self-similarity, just as the ``Hofstadter butterfly.'' However, screening affects the butterfly, most importantly the bandwidths oscillate with magnetic field in a characteristic way. We also investigate the dynamic response of the electron system in the far-infrared (FIR) regime. Some of the peaks in the FIR absorption spectra can be interpreted mainly in semiclassical terms, while others originate from inter(sub)band transitions.

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