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Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice

Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice

We study the infinite temperature dynamics of a prototypical one-dimensional system expected to exhibit many-body localization. Using numerically exact methods, we establish the dynamical phase diagram of this system based on the statistics of its eigenvalues and its dynamical behavior. We show that the nonergodic phase is reentrant as a …