Fluctuations of the Inverse Participation Ratio at the Anderson Transition

URN to cite this document:: urn:nbn:de:bvb:355-epub-462520
DOI to cite this document:: 10.5283/epub.46252

Evers, Ferdinand

; Mirlin, A. D.

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Date of publication of this fulltext: 05 Jul 2021 06:21

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Abstract

Statistics of the inverse participation ratio (IPR) at the critical point of the localization transition is studied numerically for the power-law random banded matrix model. It is shown that the IPR distribution function is scale invariant, with a power-law asymptotic “tail.” This scale invariance implies that the fractal dimensions Dq are nonfluctuating quantities, contrary to a recent claim in ...