Thouless time analysis of Anderson and many-body localization transitions
Disordered Systems and Neural Networks
2020-05-13 v2 Statistical Mechanics
Strongly Correlated Electrons
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.
Keywords
Cite
@article{arxiv.1911.06221,
title = {Thouless time analysis of Anderson and many-body localization transitions},
author = {Piotr Sierant and Dominique Delande and Jakub Zakrzewski},
journal= {arXiv preprint arXiv:1911.06221},
year = {2020}
}
Comments
2nd version, several minor changes in text and discussions expanded, 4+1 pages, 3+1 figures, comments welcome