Mesoscopic fluctuations of eigenfunctions and level-velocity distribution in disordered metals

1994/08/31 by Yan V. Fyodorov, A. D. Mirlin, Alexander D. Mirlin · 121 citations
Mathematics · Physics and Astronomy · #Amplitude #Condensed matter physics #Distribution (mathematics) #Distribution function #Eigenfunction #Geometry #Inverse #Mathematical analysis #Mathematics #Mesoscopic physics #Parametric statistics #Perturbation (astronomy) #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.51.13403

published in Physical review. B, Condensed matter 51(19), 13403-13409 (American Physical Society) · REVTEX, 7 pages

arxiv created 1994/10/31 · openalex publication_date 1995/05/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the distribution of eigenfunction amplitudes and the variance of the inverse participation ratio (IPR) in disordered metallic samples. A relation is established between the distribution function of the IPR and that of level velocities---parametric derivatives of energy levels with respect to a random perturbation.

Citations

• The Spatial Statistical Properties of Wave Functions in a Disordered Finite One-Dimensional Sample
• Single Level Current and Curvature Distributions in Mesoscopic Systems

Cited by

• Fluctuations of the Inverse Participation Ratio at the Anderson Transition