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Disorder and Localization in the Lowest Landau Level

1998/10/16 by Z. Gedik, Gedik, Z., M. Bayindir +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/9810200

LaTeX, 4 pages, 4 figures, uses grafik.sty (included)

openalex publication_date 1998/10/16 · arxiv created 1998/11/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the localization property of a two-dimensional noninteracting electron gas in the presence of randomly distributed short-range scatterers. We evaluate the participation number of the eigenstates obtained by exact diagonalization technique. At low impurity concentrations we obtain self-averaged values showing that all states, except those exactly at the Landau level, are localized with finite localization length. We conclude that there is no universal localization exponent and at least at low impurity concentrations localization length does not diverge.

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