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Manifestation of the Hofstadter butterfly in far-infrared absorption

1996/07/03 by Vidar Gudmundsson, Rolf R. Gerhardts
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevb.54.r5223

published as Phys. Rev. B 54, R5223-R5226 (1996) · RevTeX file + 4 postscript figures, to be published Phys. Rev. B Rapid Comm

arxiv created 1996/07/03 · arxiv updated 2009/11/30

Abstract

The far-infrared absorption of a two-dimensional electron gas with a square-lattice modulation in a perpendicular constant magnetic field is calculated self-consistently within the Hartree approximation. For strong modulation and short period we obtain intra- and intersubband magnetoplasmon modes reflecting the subbands of the Hofstadter butterfly in two or more Landau bands. The character of the absorption and the correlation of the peaks to the number of flux quanta through each unit cell of the periodic potential depends strongly on the location of the chemical potential with respect to the subbands, or what is the same, on the density of electrons in the system.

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