TDVP time evolution with insufficient bond dimension spuriously overestimates delocalization and entanglement in the MBL crossover, and correcting this lowers the estimated critical disorder to Wc = 4.2 ± 0.3.
Thouless time analysis of Anderson and many-body localization transitions
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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.
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cond-mat.stat-mech 1years
2019 1verdicts
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Time dynamics with matrix product states: Many-body localization transition of large systems revisited
TDVP time evolution with insufficient bond dimension spuriously overestimates delocalization and entanglement in the MBL crossover, and correcting this lowers the estimated critical disorder to Wc = 4.2 ± 0.3.