Abstract
Spectral statistics of disordered systems encode Thouless and Heisenberg timescales, whose ratio determines whether the system is chaotic or localized. We show that the scaling of the Thouless time with the system size and disorder strength is very similar in one-body Anderson models and in disordered quantum many-body systems. We argue that the two parameter scaling breaks down in the vicinity of the transition to the localized phase, signaling a slowing-down of dynamics.
- Received 15 November 2019
- Revised 11 February 2020
- Accepted 13 April 2020
DOI:https://doi.org/10.1103/PhysRevLett.124.186601
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