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With the goal of measuring localization in disordered interacting systems, weexamine the finite-size scaling of the geometrically-averaged density of statescalculated from the local Green's function with finite energy resolution. Ourresults show that, unlike in a simple energy binning procedure, there is nolimit in which the finite energy resolution is irrelevant.

The geometrically-averaged density of states calculated from the local Green's function as a measure of localization