Observation of multifractality in Anderson localization of ultrasound

Abstract

We report the first experimental observation of strong multifractality in wave functions at the Anderson localization transition in open three-dimensional elastic networks. Our results confirm the recently predicted symmetry of the multifractal exponents. We have discovered that the result of multifractal analysis of the real data depends on the excitation scheme used in the experiment.

4 pages, 3 figures

References in corpus (6)

• Anderson Transitions
• Localization of ultrasound in a three-dimensional elastic network
• Exact relations between multifractal exponents at the Anderson transition
• Multifractal analysis with the probability density function at the three-dimensional Anderson transition
• Wave function statistics at the symplectic 2D Anderson transition: bulk properties
• Statistics of renormalized on-site energies and renormalized hoppings for Anderson localization models in dimensions d=2 and d=3

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