Multifractality and critical fluctuations at the Anderson transition

URN to cite this document:: urn:nbn:de:bvb:355-epub-462502
DOI to cite this document:: 10.5283/epub.46250

Mirlin, A. D. ; Evers, Ferdinand

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Date of publication of this fulltext: 05 Jul 2021 06:27

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Abstract

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 ...