  A new numerical method, recently developed to study ground states of the
Falicov-Kimball model (FKM), is used to examine the effects of correlated
hopping on the ground-state properties of this model in two dimensions. It is
shown that the ground-state phase diagram as well as the picture of
metal-insulator transitions found for the conventional FKM (without correlated
hopping) are strongly changed when the correlated hopping term is added. The
effect of correlated hopping is so strong that it can induce the
insulator-metal transition, even in the strong-coupling limit, where the ground
states of the conventional FKM are insulating for all $f$-electron densities.
