  Density functional theory (DFT) exploits an independent-particle-system
construction to replicate the densities and current of an interacting system.
This construction is used here to access the exact effective potential and bias
of non-equilibrium systems with disorder and interactions. Our results show
that interactions smoothen the effective disorder landscape, but do not
necessarily increase the current, due to the competition of disorder screening
and effective bias. This puts forward DFT as a diagnostic tool to understand
disorder screening in a wide class of interacting disordered systems.
