A phonon-assisted magnetopolaron effect in diluted magnetic semiconductors
is theoretically investigated. It is shown that the binding energy of magne
tic polarons can be substantially enhanced if coupling between the magnetic
and phonon subsystems is taken into account. In the particular case of "so
ft" lattice dynamics, the stability range of the hole-induced magnetic pola
ron can be extended to temperatures of a few tens of kelvin and magnetic fi
elds of several tesla. [S0163-1829(99)06104-4].