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arXiv · 1911.06221

Thouless time analysis of Anderson and many-body localization transitions

Piotr Sierant·Dominique Delande·Jakub Zakrzewski
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Abstract

Spectral statistics of disordered systems encode Thouless and Heisenberg time scales whose ratio determines whether the system is chaotic or localized. Identifying similarities between system size and disorder strength scaling of Thouless time for disordered quantum many-body systems with results for 3D and 5D Anderson models, we argue that the two-parameter scaling breaks down in the vicinity of the transition to the localized phase signalling subdiffusive dynamics.

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Piotr Sierant, Dominique Delande, Jakub Zakrzewski. 2019-11-14. Thouless time analysis of Anderson and many-body localization transitions. https://doi.org/10.1103/physrevlett.124.186601

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