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Multifractality and critical fluctuations at the Anderson transition

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Mirlin, A. D. ; Evers, Ferdinand
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Date of publication of this fulltext: 05 Jul 2021 06:27


Critical fluctuations of wave functions and energy levels at the Anderson transition are studied for the family of the power-law random banded matrix ensembles. It is shown that the distribution functions of the inverse participation ratios (IPR) Pq are scale-invariant at the critical point, with a power-law asymptotic tail. The IPR distribution, the multifractal spectrum, and the level ...


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