Conversion of free magnetic polaron into vortex lattice in diluted magnetic semiconductors in quantizing magnetic fields

We show that in strong (quantizing) magnetic fields “ordinary” free magnetic polaron in diluted magnetic semiconductors (of type $A^{2}Me{B}^6$, where Me=Fe, Mn) exists in the form of vortex lattice quite similar to that in type II superconductors (Abricosov vortex lattice). The region of external parameters (like external magnetic field and temperature), where such lattice exists, is determined from the condition that lattice dimension is less or equal to polaron localization radius.