  We show that Nanoparticle (NP) solids are an exciting platform to seek new
insights into the disordered Mott-Hubbard physics. We developed a "Hierarchical
Nanoparticle Transport Simulator" (HINTS), which builds from localized states
to describe the Disorder-localized and Mott-localized phases, and the
transitions out of these localized phases. We also studied the interplay
between correlations and disorder in the corresponding multi-orbital Hubbard
model at and away from integer filling by Dynamical Mean Field Theory. This
approach is complementary to HINTS, as it builds from the metallic phase of the
NP solid. The mobility scenarios and phase diagrams produced by the two methods
are strikingly similar, and account for the mobilities measured in NP solids.
