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Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase

Statistics of systemwide correlations in the random-field XXZ chain: Importance of rare events in the many-body localized phase

Motivated by recent debates around the many-body localization (MBL) problem, and in particular its stability against systemwide resonances, we investigate long-distance spin-spin correlations across the phase diagram of the random-field XXZ model, with a particular focus on the strong disorder regime. Building on state-of-the-art shift-invert diagonalization techniques, we study the …