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Thouless time analysis of Anderson and many-body localization transitions

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arxiv 1911.06221 v2 pith:S75UKC2F submitted 2019-11-14 cond-mat.dis-nn cond-mat.stat-mechcond-mat.str-el

classification cond-mat.dis-nncond-mat.stat-mechcond-mat.str-el
keywords thoulesstimeandersondisorderedlocalizedmany-bodyscalingsystem
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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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  1. Time dynamics with matrix product states: Many-body localization transition of large systems revisited

    cond-mat.stat-mech 2019-08 conditional novelty 7.0 of 10

    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.

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