  We study two coupled 3D lattices, one of them featuring uncorrelated on-site
disorder and the other one being fully ordered, and analyze how the
interlattice hopping affects the localization-delocalization transition of the
former and how the latter responds to it. We find that moderate hopping pushes
down the critical disorder strength for the disordered channel throughout the
entire spectrum compared to the usual phase diagram for the 3D Anderson model.
In that case, the ordered channel begins to feature an effective disorder also
leading to the emergence of mobility edges but with higher associated critical
disorder values. Both channels become pretty much alike as their hopping
strength is further increased, as expected. We also consider the case of two
disordered components and show that in the presence of certain correlations
among the parameters of both lattices, one obtains a disorder-free channel
decoupled from the rest of the system.
