In yttrium-iron garnets an electrical charge is carried by quasipartic
les based on compensating holes which move either at oxygen or iron io
ns of the tetragonal sublattice. The quasiparticles can also get local
ized because of their coupling to optical phonons on the iron sites. A
multi-band model of holes coupled to phonons is applied to find addit
ional energy levels in the gap between the lower of the narrow 3d band
s and the wide 2p band, whose occurrence plays a crucial role in a con
ductivity mechanism. The density of states is considerably modified by
the interaction between the holes and local distortion of the lattice
.