Multifractality beyond the parabolic approximation: Deviations from the log-normal distribution at criticality in quantum Hall systems
Department of Theoretical Physics, Institute of Physics,
Technical University of Budapest, H-1521 Budapest, Hungary
2 Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, D-50937 Köln, Germany
Accepted: 6 October 1996
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.
PACS: 71.23.An – Theories and models; localized states / 73.40.Hm – Quantum Hall effect (including fractional)
© EDP Sciences, 1996