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We use density functional theory to investigate the influence of surface vacancies on the surface stability of a stoichiometric freestanding LaAlO₃ (001) thin film. Defect-free three- and five-unit-cell-thick LaAlO₃ (001) thin films show macroscopic electric fields of 0.28 and 0.22 V/{}, respectively. The built-in electric field is sufficiently strong for the five-unit-cell-thick film to undergo a dielectric breakdown in the local density approximation. We show that the electric field can be effectively compensated by La vacancies on the LaO surface, O vacancies on the AlO₂ surface, or both types of vacancy present at the same time. Comparing surface Gibbs free energies we show that several surface vacancy structures are thermodynamically stable.
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Seo et al. (2011) studied this question.
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