One-Dimensional Anderson Localization in Certain Correlated Random Potentials

Pierre Lugan (1) , Alain Aspect (2) , Laurent Sanchez-Palencia (2) , Dominique Delande (3) , Benoît Grémaud (3, 4, 5) , Cord A. Müller (3, 6) , Christian Miniatura (4, 5, 7)

1 LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
2 laboratoire Charles Fabry de l'Institut d'Optique / Optique atomique
3 LKB (Jussieu) - Laboratoire Kastler Brossel
4 IPAL - Image & Pervasive Access Lab
5 CQT - Centre for Quantum Technologies [Singapore]
6 Physikalisches Institut [Bayreuth]
7 INLN - Institut Non Linéaire de Nice Sophia-Antipolis

We investigate Anderson localization in weak 1D speckle potentials. We show that long-range correlations induce effective mobility edges corresponding to sharp crossovers between regions here localization lengths differ by orders of magnitude. Using perturbation theory, we derive analytical formulas up to two orders beyond Born approximation which prove in excellent agreement with exact numerical calculations. Finally, we analyze our findings in the light of a diagrammatic approach.

Domaines: Autre [cond-mat.other]

Pierre Lugan, Alain Aspect, Laurent Sanchez-Palencia, Dominique Delande, Benoît Grémaud, et al.. One-Dimensional Anderson Localization in Certain Correlated Random Potentials. 2009. ⟨hal-00357700v1⟩