  We use the embedding approach for a dynamical mean-field method to
investigate the electronic properties of a semi-infinite two band Hubbard model
at half- and quarter-filling. Two effects determine the degree of correlation
at the surface: first, there will charge transfer between the surface and the
bulk, and, secondly, electrons at the surface are less delocalized due to the
reduced coordination number. We determine the result of these two effects and
compute the quasiparticle weight. It is shown that depletion of charge from the
surface to the bulk at quarter-filling competes with enhanced correlation
effects; the net result is that at quarter-filling the quasi particle weight at
the surface is approximately equal to the bulk quasi particle weight. Only when
the charge transfer approaches zero at large interaction strengths does the
quasi particle weight at the surface become lower than that in the bulk.
