Localization of electrons in two-dimensional spatially-correlated random magnetic fields

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dc.creatorPotempa, H.
dc.creatorSchweitzer, L.
dc.date1999-08-09
dc.date1999-08-25
dc.date.accessioned2026-07-07T03:14:09Z
dc.date.available2026-07-07T03:14:09Z
dc.descriptionThe localization properties of electrons moving in a plane perpendicular to a spatially-correlated static magnetic field of random amplitude and vanishing mean are investigated. We apply the method of level statistics to the eigenvalues and perform a multifractal analysis for the eigenstates. From the size and disorder dependence of the variance of the nearest neighbor energy spacing distribution, $P_{W,L}(s)$, a single branch scaling curve is obtained. Contrary to a recent claim, we find no metal-insulator-transition in the presence of diagonal disorder. Instead, as in the uncorrelated random magnetic field case, conventional unitary behavior (all states are localized) is observed. The eigenstates at the band center, which in the absence of diagonal disorder are believed to belong to the chiral unitary symmetry class, are shown to exhibit a $f(α)$-distribution for not too weak random fields. The corresponding generalized multifractal dimensions are calculated and found to be different from the results known for a QHE-system.
dc.description1 reference corrected. Proceedings of Localisation 1999, Hamburg, Germany; to appear in Annalen der Physik (Leipzig)
dc.identifierhttps://arxiv.org/abs/cond-mat/9908122
dc.identifierhttp://arxiv.org/abs/cond-mat/9908122
dc.identifierAnn. Phys. (Leipzig) 8 (1999) Spec. Issue, SI-209 -- SI-212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29571
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleLocalization of electrons in two-dimensional spatially-correlated random magnetic fields
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