2000 character limit reached
Thouless time analysis of Anderson and many-body localization transitions (1911.06221v2)
Published 14 Nov 2019 in cond-mat.dis-nn, cond-mat.stat-mech, and cond-mat.str-el
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.