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We investigate the 1D Anderson-Hubbard model at half filling withbox-disorder. The ground state phase diagram is obtained by means of real-spacedynamical mean-field theory (R-DMFT) and the density matrix renormalizationgroup (DMRG). We find Mott insulating and Anderson localized regimes as well asa strong indication of a delocalized phase for intermediate interaction anddisorder strength within accessible system sizes. These phases arecharacterized and distinguished by qualitatively different scaling behavior ofthe local density of states, the energy gap in the excitation spectrum and theinverse participation number.

Signatures of Delocalization in the Fermionic 1D Hubbard Model with Box Disorder: Comparative Study with DMRG and R-DMFT