Coherent forward scattering as a robust probe of multifractality in critical disordered media

被引：5

作者：

Martinez, Maxime ^{[1
]}

Lemarie, Gabriel ^{[1
,2
,3
]}

Georgeot, Bertrand ^{[1
]}

Miniatura, Christian ^{[2
,3
,4
,5
,6
]}

Giraud, Olivier ^{[7
]}

机构：

[1] Univ Toulouse, Lab Phys Theor, CNRS, UPS, Toulouse, France

[2] NUS, MajuLab, CNRS, UCA,SU,NTU,Int Joint Res Unit, Singapore, Singapore

[3] Natl Univ Singapore, Ctr Quantum Technol, Singapore, Singapore

[4] Univ Cote Azur, CNRS, INPHYNI, Nice, France

[5] Natl Univ Singapore, Dept Phys, Singapore, Singapore

[6] Nanyang Technol Univ, Sch Phys & Math Sci, Singapore, Singapore

[7] Univ Paris Saclay, CNRS, LPTMS, F-91405 Orsay, France

来源：

SCIPOST PHYSICS | 2023年 / 14卷 / 03期

关键词：

METAL-INSULATOR-TRANSITION; ANDERSON LOCALIZATION; WEAK-LOCALIZATION; EIGENFUNCTION CORRELATIONS; INTEGRABLE SYSTEMS; LIGHT; BACKSCATTERING; FLUCTUATIONS; STATISTICS; DIFFUSION;

D O I：

10.21468/SciPostPhys.14.3.057

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：24

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