# Glassy properties of Anderson localization: pinning, avalanches and chaos

1 Information et Chaos Quantiques (LPT)
LPT - Laboratoire de Physique Théorique
Abstract : I present the results of extensive numerical simulations which reveal the glassy properties of Anderson localization in dimension two at zero temperature: pinning, avalanches and chaos. I first show that the directed paths taken by the transport in the strongly localized regime are pinned by disorder and perform avalanches when a parameter like the energy is varied. I determine the roughness exponent $\zeta=2/3$ characterizing the wandering of these paths and find that it is the same as that of the directed polymer problem. Finally, I characterize the disorder chaos property: Two replicas with infinitesimally perturbed disorder configurations have their conductance correlation which vanishes at the thermodynamic limit. Chaos is the result of the interplay between two distinct mechanisms: a spin glass chaos effect at strong disorder characteristic of directed polymer physics and an interference effect at weak disorder characteristic of universal conductance fluctuations.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01929519
Contributor : Gabriel Lemarié <>
Submitted on : Wednesday, November 21, 2018 - 11:35:48 AM
Last modification on : Friday, February 28, 2020 - 1:00:35 AM

### Citation

Gabriel Lemarié. Glassy properties of Anderson localization: pinning, avalanches and chaos. Physical Review Letters, American Physical Society, 2019, 122 (3), pp.030401. ⟨10.1103/PhysRevLett.122.030401⟩. ⟨hal-01929519⟩

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