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

TL;DR

This paper investigates how energy-dependent localization features in the Anderson-Hubbard model persist across larger system sizes and doping levels, revealing that localization suppression remains despite the loss of sharp density of states features.

Contribution

It extends previous findings by showing the persistence of localization suppression in larger, doped systems beyond half filling in the Anderson-Hubbard model.

Findings

Localization suppression persists away from half filling.

Energy regions with suppressed localization appear in larger systems.

Sharp density of states peaks diminish with system size and doping.

Abstract

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