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Multifractal Analysis with the Probability Density Function at the Three-Dimensional Anderson Transition
The probability density function (PDF) for critical wave function amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum $f(\ensuremath{\alpha})$ in which the role of finite-size corrections is properly analyzed. We show the non-Gaussian nature and the existence of a …