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Particle fluctuations and the failure of simple effective models for many-body localized phases

Particle fluctuations and the failure of simple effective models for many-body localized phases

We investigate and compare the particle number fluctuations in the putative many-body localized (MBL) phase of a spinless fermion model with potential disorder and nearest-neighbor interactions with those in the non-interacting case (Anderson localization) and in effective models where only interaction terms diagonal in the Anderson basis are kept. We …