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Fluctuations of the Inverse Participation Ratio at the Anderson Transition

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Evers, Ferdinand ; Mirlin, A. D.
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Date of publication of this fulltext: 05 Jul 2021 06:21


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 ...


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