First-principles density-functional theory calculations were used to study the
magnetic properties of ZnO:Cr; with and without vacancies. The results indicated
that the doping of Cr into ZnO introduced obvious spin polarization around the
Fermi level and a total magnetic moment of 3.77μB. The ferromagnetism exchange
interaction between Cr atoms was short-ranged and decreased with increasing Cr
separation distance. It was suggested that the ferromagnetic state was not stable at
low concentrations of Cr. The presence of O vacancies could make the halfmetallic
ferromagnetic state of the system more stable, so that higher Curie
temperature ferromagnetism could be expected. Nevertheless, Zn vacancies could
result in the ferromagnetism stability decreasing slightly. The calculated formation
energy showed that a VZn+CrZn complex formed spontaneously under O-rich
conditions. However, under Zn-rich conditions, a complex of VO+CrZn formed
more easily. Thus, ZnO doped with Cr could exhibit a concentration of vacancies
that influenced the magnetic properties.
Theoretical Study of the Magnetic Interaction of Cr-Doped ZnO with and Without
Vacancies. F.Wang, Z.Pang, L.Lin, S.Fang, Y.Dai, S.Han: Journal of Magnetism
and Magnetic Materials, 2009, 321[19], 3067-70