DIVERGENCE OF THE LOCALIZATION LENGTH IN QUANTUM HALL SYSTEMS
Condensed Matter
2007-05-23 v1
Abstract
The localization properties of a two-dimensional disordered electron gas in a strong external magnetic field are studied. The impurities are considered to be located on a square lattice with random amplitudes. The concentration of these impurities is low, i.e., the average distance between the impurities exceeds the magnetic length. For short-ranged impurity potentials we analytically obtain an exponent for the divergence of the localization length at the lowest Landau level. The density of states is also calculated.
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Cite
@article{arxiv.cond-mat/9505109,
title = {DIVERGENCE OF THE LOCALIZATION LENGTH IN QUANTUM HALL SYSTEMS},
author = {Michael HILKE},
journal= {arXiv preprint arXiv:cond-mat/9505109},
year = {2007}
}
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4 pages in Revtex