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Exact Relations between Multifractal Exponents at the Anderson Transition

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Mirlin, A. D. ; Fyodorov, Y. V. ; Mildenberger, A. ; Evers, Ferdinand
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Date of publication of this fulltext: 05 Jul 2021 09:40


Two exact relations between mutlifractal exponents are shown to hold at the critical point of the Anderson localization transition. The first relation implies a symmetry of the multifractal spectrum linking the exponents with indices q<1/2 to those with q>1/2. The second relation connects the wave-function multifractality to that of Wigner delay times in a system with a lead attached.

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