Evidence of Hofstadter's Fractal Energy Spectrum in the Quantized Hall Conductance.

作者: C. Albrecht , J. H. Smet , K. von Klitzing , D. Weiss , V. Umansky

DOI: 10.1103/PHYSREVLETT.86.147

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摘要: The energy spectrum of a two-dimensional electron system in perpendicular homogeneous magnetic field and weak lateral superlattice potential with square symmetry is composed Landau bands recursive internal subband structure. Hall conductance the minigaps anticipated to be quantized integer multiples e2/h that vary erratically from minigap accordance Diophantine equation. measurements on samples requisite properties uncover this long searched for evidence Hofstadter\'s butterflylike spectrum.

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