Piotr Sierant, Dominique Delande, Jakub Zakrzewski
Published 2019-11-14Version 1
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.
Comments: 4.5+0.5 pages, 3+1 figures, comments welcome
Adaptive-weighted tree tensor networks for disordered quantum many-body systems
Level repulsion exponent $β$ for Many-Body Localization Transitions and for Anderson Localization Transitions via Dyson Brownian Motion
Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models
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