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Corps, Angel L. Molina, Rafael A. Relaño Pérez, Armando 2023-06-16T15:20:37Z 2023-06-16T15:20:37Z 2020-07-01 2469-9950 10.1103/PhysRevB.102.014201 https://hdl.handle.net/20.500.14352/6420 https://doi.org/10.1103/PhysRevB.102.014201 https://journals.aps.org/ We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum of the full momentum distribution fluctuations, is not large enough to guarantee thermalization. We find that both estimates coincide and behave nonmonotonically, exhibiting a strong peak at an intermediate value of the disorder. Furthermore, we show that nonthermalizing initial conditions occur well within the ergodic phase with larger probability than expected. Finally, we propose a mechanism, driven by the Thouless energy and the presence of anomalous events, for the transition to the localized phase. eng open access Thouless energy challenges thermalization on the ergodic side of the many-body localization transition journal article