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23 April 2024

» arxiv » cond-mat/9508146

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Lowest Landau level broadened by a Gaussian random potential with an arbitrary correlation length: An efficient continued-fraction approach
Markus Böhm ; Kurt Broderix ; Hajo Leschke ;
Date:	31 Aug 1995
Journal:	Z. Phys. B 104, 111-115 (1997)
Subject:	cond-mat
Abstract:	For an electron in the plane subjected to a perpendicular constant magnetic field and a homogeneous Gaussian random potential with a Gau{ss}ian covariance function we approximate the averaged density of states restricted to the lowest Landau level. To this end, we extrapolate the first 9 coefficients of the underlying continued fraction consistently with the coefficients’ high-order asymptotics. We thus achieve the first reliable extension of Wegner’s exact result [Z. Phys. B {f 51}, 279 (1983)] for the delta-correlated case to the physically more relevant case of a non-zero correlation length.
Source:	arXiv, cond-mat/9508146
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