Abstract

We investigate the energetics of the intrinsic defects in bulk multiferroic BiFeO${}_{3}$ and explore their implication for magnetization using a first-principles approach based on density functional theory. We find that the dominant defects in oxidizing (oxygen-rich) conditions are Bi and Fe vacancies and in reducing (oxygen-poor) conditions are O and Bi vacancies. The calculated carrier concentration shows that the BiFeO${}_{3}$ grown in oxidizing conditions has p-type conductivity. The conductivity decreases with oxygen partial pressure, and the material becomes insulating with a tendency for n-type conductivity. We find that the Bi and Fe vacancies produce a magnetic moment of $\ensuremath{\sim}$1${\ensuremath{\mu}}_{\mathrm{B}}$ and 5${\ensuremath{\mu}}_{\mathrm{B}}$ per vacancy, respectively, for p-type BiFeO${}_{3}$ and none for insulating BiFeO${}_{3}$. O vacancies do not introduce any moment for both p-type and insulating BiFeO${}_{3}$. Calculated magnetic moments due to intrinsic defects are consistent with those reported experimentally for bulk BiFeO${}_{3}$.

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