Multifractality beyond the Parabolic Approximation: Deviations from the Log-normal Distribution at Criticality in Quantum Hall Systems
Mesoscale and Nanoscale Physics
2009-10-28 v1
Abstract
Based on differences of generalized R\'enyi 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.
Cite
@article{arxiv.cond-mat/9610135,
title = {Multifractality beyond the Parabolic Approximation: Deviations from the Log-normal Distribution at Criticality in Quantum Hall Systems},
author = {Imre Varga and János Pipek and Martin Janssen and Krystian Pracz},
journal= {arXiv preprint arXiv:cond-mat/9610135},
year = {2009}
}
Comments
LaTeX 4 pages, 3 EPS included, to appear in Europhysics Letters