Speaker
Description
We consider a chain of interacting fermions with random disorder that was intensively studied in the context of many-body localization, however these studies did not provide clear answers concerning the localization. We show that only a small fraction of the two-body interaction represents a true local perturbation to the Anderson insulator. This establishes a view that the strongly disordered system should be viewed as a weakly perturbed noninteracting model, i.e., the Anderson insulator. Eventually for strong disorder the true perturbation is too weak to be studied numerically for finite systems. We point out a class of many-body interactions for which the true-perturbation does not depend on the disorder strength. The very same behavior shows up for tilted chains.