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

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

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.