  We study the ground state phase diagram of the Anderson-Hubbard model with
correlated hopping at half filling in one-dimension. The Hamiltonian has a
local Coulomb repulsion $U$ and a disorder potential with local energies
randomly distributed in the interval $(-W,+W)$ with equal probability, acting
on the singly occupied sites. The hopping process which modifies the number of
doubly occupied sites is forbidden. The hopping between nearest-neighbor singly
occupied and empty sites or between singly occupied and doubly occupied sites
have the same amplitude $t$. We identify three different phases as functions of
the disorder amplitude $W$ and Coulomb interaction strength $U>0$. When $U<4t$
the system shows a metallic phase (i) only when no disorder is present $W=0$ or
an Anderson-localized phase (ii) when disorder is introduced $W\neq 0$. When
$U>4t$ the Anderson-localized phase survives as long as disorder effects
dominates on the interaction effects, otherwise a Mott insulator phase (iii)
arises. The phases (i) and (ii) are characterized by a finite density of
doublons and a vanishing charge gap between the ground state and the excited
states. The phase (iii) is characterized by vanishing density of doublons and a
finite gap for the charge excitations.
