  We start from a six-band model describing the transition-metal t2g orbitals
of half-metallic double perovskite systems, such as Sr2FeMoO6, in which only
one of the transition metal ions (Fe) contains important intratomic repulsion
Ufe. By eliminating the Mo orbitals using a low-energy reduction similar to
that used in the cuprates, we construct a Hamiltonian which contains only
effective t2g Fe orbitals. This allows to treat exactly Ufe, and most of the
Fe-Mo hopping. As an application, we treat the effective Hamiltonian in the
slave-boson mean-field approximation and calculate the position of the
metal-insulator transition and other quantities as a function of pressure or
on-site energy difference.
