  We derive the disorder vs. doping phase diagram of the doped Hubbard model
via Dynamical Mean Field Theory combined with Typical Medium Theory, which
allows the description of both Mott (correlation driven) and Anderson (disorder
driven) metal-insulator transitions. We observe a transition from a metal to an
Anderson-Mott insulator for increasing disorder strength at all interactions.
In the weak correlation regime and rather small doping, the Anderson-Mott
insulator displays properties which are alike to the ones found at
half-filling. In particular, this phase is characterized by the presence of
empty sites. If we further increase either the doping or the correlation
however, an Anderson-Mott phase of different kind arises for sharply weaker
disorder strength. This phase occupies the largest part of the phase diagram in
the strong correlation regime, and is characterized by the absence of the empty
sites.
