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Non-interacting systems with bounded disorder have been shown to exhibitsharp density of states peaks at the band edge which coincide with an energyrange of abruptly suppressed localization. Recent work has shown that thesefeatures also occur in the presence of on-site interactions in ensembles oftwo-site Anderson-Hubbard systems at half filling. Here we demonstrate thatthis effect in interacting systems persists away from half filling, andmoreover that energy regions with suppressed localization continue to appear inensembles of larger systems despite a loss of sharp features in the density ofstates.

Persistence of energy-dependent localization in the Anderson-Hubbard model with increasing system size and doping