The interacting insulator in 1D via DMRG

A system of non-interacting electrons with strong quenched randomness is an Anderson insulator. Interactions in such insulators are known to enhance local moment formation, which in turn alters the nature of the ground state from the Anderson picture and may ultimately play a role in phase transitions involving the insulating state. The problem remains poorly studied in part due to the lack of tools available to study a strongly disordered, interacting system of electrons. We employ density matrix renormalization group (DMRG) simulations to study the effect of interactions on one-dimensional Anderson insulators. We analyze spin and charge correlations of the Hubbard model with intermediate interaction strength, in the presence of site and bond randomness, and contrast the resulting behaviors with those of an Anderson insulator.