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Spectral statistics of disordered systems encode Thouless and Heisenberg timescales whose ratio determines whether the system is chaotic or localized.Identifying similarities between system size and disorder strength scaling ofThouless time for disordered quantum many-body systems with results for 3D and5D Anderson models, we argue that the two-parameter scaling breaks down in thevicinity of the transition to the localized phase signalling subdiffusivedynamics.

Thouless time analysis of Anderson and many-body localization transitions