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26 April 2024 |
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Multifractality beyond the Parabolic Approximation: Deviations from the Log-normal Distribution at Criticality in Quantum Hall Systems | | Imre Varga
; János Pipek
; Martin Janssen
; Krystian Pracz
; | | Date: |
17 Oct 1996 | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Affiliation: | Department of Theoretical Physics, Institute of Physics, Technical University of Budapest) and Martin Janssen, Krystian Pracz (Institut für Theoretische Physik, Universität zu Köln | | Abstract: | Based on differences of generalized Rényi entropies nontrivial constraints on the shape of the distribution function of broadly distributed observables are derived introducing a new parameter in order to quantify the deviation from lognormality. As a test example the properties of the two--measure random Cantor set are calculated exactly and finally using the results of numerical simulations the distribution of the eigenvector components calculated in the critical region of the lowest Landau--band is analyzed. | | Source: | arXiv, cond-mat/9610135 | | Services: | Forum | Review | PDF | Favorites | |
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