  The ground-state phase diagram of two-dimensional Falicov-Kimball model with
nearest-neighbour and next-nearest-neighbour hoppings (characterized by t,t'
constants, respectively) has been studied in perturbative regime, i.e. in the
case when on-site Coulomb interaction constant U is much larger than t,t' ones.
The fourth-order phase diagram exhibits a rich structure, more complicated than
for the ordinary Falicov-Kimball model. Possible experimental implications of
the presence of nnn term are shortly discussed.
