  We investigate the effects of crystal field splitting in a doped two-band
Hubbard model with different bandwidths within dynamical mean-field theory
(DMFT), using a quantum Monte Carlo impurity solver. In addition to an
orbital-selective Mott phase (OSMP) of the narrow band, which is adiabatically
connected with the well-studied OSMP in the half-filled case without crystal
field splitting, we find, for sufficiently strong interaction and a suitable
crystal field, also an OSMP of the wide band. We establish the phase diagram
(in the absence of magnetic or orbital order) at moderate doping as a function
of interaction strength and crystal field splitting and show that also the
wide-band OSMP is associated with non-Fermi-liquid behavior in the case of
Ising type Hund rule couplings. Our numerical results are supplemented by
analytical strong-coupling studies of spin order and spectral functions at
integer filling.
