Parametric invariant random matrix model and the emergence of multifractality

J. A. Méndez-Bermúdez, Tsampikos Kottos, and Doron Cohen
Phys. Rev. E 73, 036204 – Published 2 March 2006

Abstract

We propose a random matrix modeling for the parametric evolution of eigenstates. The model is inspired by a large class of quantized chaotic systems. Its unique feature is having parametric invariance while still possessing the nonperturbative breakdown that had been discussed by Wigner 50 years ago. Of particular interest is the emergence of an additional crossover to multifractality.

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  • Received 23 August 2005

DOI:https://doi.org/10.1103/PhysRevE.73.036204

©2006 American Physical Society

Authors & Affiliations

J. A. Méndez-Bermúdez1,2,3, Tsampikos Kottos1,4, and Doron Cohen2

  • 1Max-Planck-Institut für Dynamik und Selbstorganisation, Bunsenstraße 10, D-37073 Göttingen, Germany
  • 2Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel
  • 3Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, México
  • 4Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155, USA

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Issue

Vol. 73, Iss. 3 — March 2006

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