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Using an effective one-band Hubbard model with disorder, we consider magneticstates of the correlated oxide interfaces, where effective hole self-doping anda magnetially ordered state emerge due to electronic and ionic reconstructions.By employing the coherent potential approximation, we analyze the effect ofrandom oxygen vacancies on the two-dimensional magnetism. We find that therandom vacancies enhance the ferromagnetically ordered state and stabilize arobust magnetization above a critical vacancy concentration of about c=0.1. Inthe strong-correlated regime, we also obtain a nonmonotonic increase of themagnetization upon an increase of vacancy concentration and a substantialincrease of the magnetic moments, which can be realized at oxygen reducedhigh-Tc cuprate interfaces.

Magnetically ordered state at correlated oxide interfaces: the role of random oxygen defects