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We study the possibility of d0 ferromagnetism in the compound  MgO doped with nitrogen (N). The Haldane-Anderson impurity model isformulated within the tight-binding approximation for determining the hostband-structure and the impurity-host hybridization. Using the quantum MonteCarlo technique, we observe a finite local moment for an N impurity, andlong-range ferromagnetic correlations between two N impurities. Theferromagnetic correlations are strongly influenced by the impurity bound state.When the ferromagnetic correlation between a pair of impurities is mapped ontothe isotropic Heisenberg model for two spin-1/2 particles, the effectiveexchange constant J12 is found to increase with increasing temperature. Similartemperature dependence of J12 is also obtained in other diluted magneticsemiconductors, such as zincblende ZnO doped with Mn. The temperaturedependence of J12 suggests that the mapping of the full Hamiltonian onto thespin Hamiltonian cannot fully describe the magnetic correlations for thediluted magnetic semiconductors at least in the limit of low impurity spin.

Possible d0 ferromagnetism in MgO doped with nitrogen