Evidence of Hofstadter's fractal energy spectrum in the quantized Hall conductance

Albrecht, C. and Smet, J. H. and von Klitzing, K. and Weiss, Dieter and Umansky, V. and Schweizer, H. (2001) Evidence of Hofstadter's fractal energy spectrum in the quantized Hall conductance. PHYSICAL REVIEW LETTERS, 86 (1). pp. 147-150. ISSN 0031-9007

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Abstract

The energy spectrum of a two-dimensional electron system in a perpendicular homogeneous magnetic field and a weak lateral superlattice potential with square symmetry is composed of Landau bands with recursive internal subband structure. The Hall conductance in the minigaps is anticipated to be quantized in integer multiples of e(2)/h that vary erratically from minigap to minigap in accordance with a Diophan-time equation. Hall measurements on samples with the requisite properties uncover this long searched for evidence of Hofstadter's butterflylike energy spectrum.

Item Type: Article
Uncontrolled Keywords: 2-DIMENSIONAL ELECTRON-SYSTEMS; BLOCH ELECTRONS; MAGNETOTRANSPORT; SUPERLATTICE; CONDUCTIVITY; GAS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Experimental and Applied Physics > Chair Professor Weiss > Group Dieter Weiss
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Mar 2022 06:43
Last Modified: 08 Mar 2022 06:43
URI: https://pred.uni-regensburg.de/id/eprint/41943

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