Exact Relations between Multifractal Exponents at the Anderson Transition

2006/03/14 by A. D. Mirlin, Yan V. Fyodorov, Y. V. Fyodorov +3 · 8 citations
Chemistry · Computer Science · Physics and Astronomy · #Molecular spectroscopy and chirality #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.97.046803

published as Phys. Rev. Lett. 97, 046803 (2006) · 4 pages, 3 figures

arxiv created 2006/03/14 · openalex publication_date 2006/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• f(α)multifractal spectrum at strong and weak disorder
• Two-level correlation function of critical random-matrix ensembles

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