Exact relations between multifractal exponents at the Anderson transition |
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Authors: | Mirlin A D Fyodorov Y V Mildenberger A Evers F |
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Affiliation: | Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany. |
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Abstract: | 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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