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Toy model for anomalous transport and Griffiths effects near the many-body localization transition

Toy model for anomalous transport and Griffiths effects near the many-body localization transition

We introduce and study a toy model for anomalous transport and Griffiths effects in one-dimensional (1D) quantum disordered isolated systems near the many-body localization (MBL) transition. The model is constituted by a collection of 1D tight-binding chains with on-site random energies, locally coupled to a weak perturbation, corresponding to a …