  Many types of dissipative processes can be found in nature or be engineered,
and their interplay with a system can give rise to interesting phases of
matter. Here we study the interplay among interaction, tunneling, and disorder
in the steady state of a spin chain coupled to a tailored bath. We consider a
dissipation which, in contrast to disorder, tends to generate a homogeneously
polarized steady state. We find that the steady state can be highly sensitive
even to weak disorder. We also establish that, in the presence of such
dissipation, even in the absence of interaction, a finite amount of disorder is
needed for localization. Last, we show that for strong disorder the system
reveals signatures of localization both in the weakly and strongly interacting
regimes.
