TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.3.057
TI  - Coherent forward scattering as a robust probe of multifractality in critical disordered media
PY  - 2023/03/31
UR  - https://www.scipost.org/SciPostPhys.14.3.057
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 3
SP  - 057
A1  - Martinez, Maxime
AU  - Lemarié, Gabriel
AU  - Georgeot, Bertrand
AU  - Miniatura, Christian
AU  - Giraud, Olivier
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.14.3.057,
	title={{Coherent forward scattering as a robust probe of multifractality in critical disordered media}},
	author={Maxime Martinez and Gabriel Lemarié and Bertrand Georgeot and Christian Miniatura and Olivier Giraud},
	journal={SciPost Phys.},
	volume={14},
	pages={057},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.3.057},
	url={https://scipost.org/10.21468/SciPostPhys.14.3.057},
}