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...
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| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/173636 http://arxiv.org/abs/2210.04796v1 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | 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. |
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