Coherent Forward Scattering Peak and Multifractality

Abstract

It has recently been shown that interference effects in disordered systems give rise to two non-trivial structures: the coherent backscattering (CBS) peak, a well-known signature of interference effects in the presence of disorder, and the coherent forward scattering (CFS) peak, which emerges when Anderson localization sets in. We study here the CFS effect in the presence of quantum multifractality, a fundamental property of several systems, such as the Anderson model at the metal-insulator transition. We focus on Floquet systems, and find that the CFS peak shape and its peak height dynamics are generically controlled by the multifractal dimensions $D_1$ and $D_2$, and by the spectral form factor. We check our results using a 1D Floquet system whose states have multifractal properties controlled by a single parameter. Our predictions are fully confirmed by numerical simulations and analytic perturbation expansions on this model. Our results, which we believe to be generic, provide an original and direct way to detect and characterize multifractality in experimental systems.

arXiv comment7 pages, 3 figures

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Cited by in corpus (4)

• Critical dynamics of long-range quantum disordered systems
• Coherent forward scattering as a robust probe of multifractality in critical disordered media
• Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms
• Momentum Signatures of Site Percolation in Disordered 2D Ferromagnets