Effects of large disorder on the Hofstadter butterfly

Details Effects of large disorder on the Hofstadter butterfly Effects of large disorder on the Hofstadter butterfly

2004-01-02

arxiv.org/abs/cond-mat/0401007v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 13 figures, several pictures have been shrunk to comply with the size requirements

Scientific paper

10.1103/PhysRevB.71.125310

Motivated by the recent experiments on periodically modulated, two dimensional electron systems placed in large transversal magnetic fields, we investigate the interplay between the effects of disorder and periodic potentials in the integer quantum Hall regime. In particular, we study the case where disorder is larger than the periodic modulation, but both are small enough that Landau level mixing is negligible. In this limit, the self-consistent Born approximation is inadequate. We carry extensive numerical calculations to understand the relevant physics in the lowest Landau level, such as the spectrum and nature (localized or extended) of the wave functions. Based on our results, we propose a qualitative explanation of the new features uncovered recently in transport measurements.

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