Mesoscopic Fluctuations of Eigenfunctions and "Level Velocity" Distribution in Disordered Metals
Yan V.Fyodorov, Alexander D.Mirlin
TL;DR
This paper investigates the statistical properties of eigenfunctions and level velocities in disordered metals, establishing a connection between eigenfunction amplitude distributions and energy level sensitivities to perturbations.
Contribution
It introduces a novel relation linking the distribution of inverse participation ratios to the distribution of level velocities in disordered metallic systems.
Findings
Derived the distribution of eigenfunction amplitudes in disordered metals
Established a relation between IPR distribution and level velocity distribution
Provided insights into eigenfunction fluctuations in mesoscopic systems
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 IPR and that of ``level velocities'' -- parametric derivatives of energy levels with respect to a random perturbation.
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