vix.ing · top · new · best · stats · spec

Thouless time analysis of Anderson and many-body localization transitions

2019/11/30 by Piotr Sierant, Dominique Delande, Jakub Zakrzewski · 2 citations
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.124.186601

published as Phys. Rev. Lett. 124, 186601 (2020) · 2nd version, several minor changes in text and discussions expanded, 4+1 pages, 3+1 figures, comments welcome

arxiv created 2020/04/08 · arxiv updated 2020/05/13

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.

Cited by