  In this work we study the two-orbital Hubbard model on a square lattice in
the presence of hybridization between nearest-neighbor orbitals and a
crystal-field splitting. We use a highly reliable numerical technique based on
the density matrix renormalization group to solve the dynamical mean field
theory self-consistent impurity problem. We find that the orbital mixing always
leads to a finite local density states at the Fermi energy in both orbitals
when at least one band is metallic. When one band is doped, and the chemical
potential lies between the Hubbard bands in the other band, the coherent
quasiparticle peak in this orbital has an exponential behavior with the Hubbard
interaction $U$.
