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Article Dans Une Revue Physical Review Letters Année : 2019

Glassy properties of Anderson localization: pinning, avalanches and chaos

Gabriel Lemarié

Résumé

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.

Dates et versions

hal-01929519 , version 1 (21-11-2018)

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