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Title: Coherent forward scattering peak and multifractality
Authors: Martinez, Maxime
Lemarié, G.
Georgeot, Bertrand
Miniatura, Christian
Giraud, Olivier
Keywords: Science::Physics
Issue Date: 2021
Source: Martinez, M., Lemarié, G., Georgeot, B., Miniatura, C. & Giraud, O. (2021). Coherent forward scattering peak and multifractality. Physical Review Research, 3(3), L032044-1-L032044-7.
Journal: Physical Review Research
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.
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.3.L032044
Schools: School of Physical and Mathematical Sciences 
Research Centres: MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit
Rights: © 2021 The Authors. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the authors and the published article’s title, journal citation, and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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