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Energy-level statistics and localization of 2d electrons in random magnetic fields

1997/10/01 by M. Batsch, L. Schweitzer, B. Kramer · 3 citations
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Random lasers and scattering media #Spectral Theory in Mathematical Physics #cond-mat.mes-hall

paper · pdf · doi:10.1016/s0921-4526(98)00316-0

published as Physica B 249-251 (1998) 792 · 4 pages LaTeX, 4 eps-figures. to appear in Physica B

arxiv created 1997/10/01 · openalex publication_date 1998/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this model, extended states have recently been proposed to exist in the middle of the band. In contrast, from our calculations of the large-s behavior of the nearest neighbor level spacing distribution P(s) and from a finite size scaling analysis we find only localized states in the suggested energy and disorder range.

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