Coherent forward scattering as a robust probe of multifractality in critical disordered media
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CFS peak. We show that the dynamics is governed by multifrac...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/173636 http://arxiv.org/abs/2210.04796v1 |
| _version_ | 1826127990615965696 |
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| author | Martinez, Maxime Lemarié, Gabriel Georgeot, Bertrand Miniatura, Christian Giraud, Olivier |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Martinez, Maxime Lemarié, Gabriel Georgeot, Bertrand Miniatura, Christian Giraud, Olivier |
| author_sort | Martinez, Maxime |
| collection | NTU |
| description | We study coherent forward scattering (CFS) in critical disordered systems,
whose eigenstates are multifractals. We give general and simple arguments that
make it possible to fully characterize the dynamics of the shape and height of
the CFS peak. We show that the dynamics is governed by multifractal dimensions
$D_1$ and $D_2$, which suggests that CFS could be used as an experimental probe
for quantum multifractality. Our predictions are universal and numerically
verified in three paradigmatic models of quantum multifractality: Power-law
Random Banded Matrices (PRBM), the Ruijsenaars-Schneider ensembles (RS), and
the three-dimensional kicked-rotor (3DKR). In the strong multifractal regime,
we show analytically that these universal predictions exactly coincide with
results from standard perturbation theory applied to the PRBM and RS models. |
| first_indexed | 2024-10-01T07:17:32Z |
| format | Journal Article |
| id | ntu-10356/173636 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:17:32Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1736362024-02-26T15:35:29Z Coherent forward scattering as a robust probe of multifractality in critical disordered media Martinez, Maxime Lemarié, Gabriel Georgeot, Bertrand Miniatura, Christian Giraud, Olivier School of Physical and Mathematical Sciences MajuLab Physics Coherent forward scattering Wave transport We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CFS peak. We show that the dynamics is governed by multifractal dimensions $D_1$ and $D_2$, which suggests that CFS could be used as an experimental probe for quantum multifractality. Our predictions are universal and numerically verified in three paradigmatic models of quantum multifractality: Power-law Random Banded Matrices (PRBM), the Ruijsenaars-Schneider ensembles (RS), and the three-dimensional kicked-rotor (3DKR). In the strong multifractal regime, we show analytically that these universal predictions exactly coincide with results from standard perturbation theory applied to the PRBM and RS models. Published version 2024-02-20T05:29:24Z 2024-02-20T05:29:24Z 2022 Journal Article Martinez, M., Lemarié, G., Georgeot, B., Miniatura, C. & Giraud, O. (2022). Coherent forward scattering as a robust probe of multifractality in critical disordered media. SciPost Physics, 14(3), 057-. https://dx.doi.org/10.21468/SciPostPhys.14.3.057 2542-4653 https://hdl.handle.net/10356/173636 10.21468/SciPostPhys.14.3.057 2-s2.0-85156159844 http://arxiv.org/abs/2210.04796v1 3 14 057 en SciPost Physics © 2023 M. Martinez et al. Published by the SciPost Foundation. This work is licensed under the Creative Commons Attribution 4.0 International License. application/pdf |
| spellingShingle | Physics Coherent forward scattering Wave transport Martinez, Maxime Lemarié, Gabriel Georgeot, Bertrand Miniatura, Christian Giraud, Olivier Coherent forward scattering as a robust probe of multifractality in critical disordered media |
| title | Coherent forward scattering as a robust probe of multifractality in critical disordered media |
| title_full | Coherent forward scattering as a robust probe of multifractality in critical disordered media |
| title_fullStr | Coherent forward scattering as a robust probe of multifractality in critical disordered media |
| title_full_unstemmed | Coherent forward scattering as a robust probe of multifractality in critical disordered media |
| title_short | Coherent forward scattering as a robust probe of multifractality in critical disordered media |
| title_sort | coherent forward scattering as a robust probe of multifractality in critical disordered media |
| topic | Physics Coherent forward scattering Wave transport |
| url | https://hdl.handle.net/10356/173636 http://arxiv.org/abs/2210.04796v1 |
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