We discuss the implementation of quasiparticle calculations for point defects on semiconductor surfaces and, as a specific example, present an ab initio study of the electronic structure of the As vacancy in the +1 charge state on the GaAs(110) surface. The structural properties are calculated with the plane-wave pseudopotential method, and the quasiparticle energies are obtained from Hedin’s GW approximation. Our calculations show that the 1a ′ ′ vacancy state in the band gap is shifted from 0.06 to 0.65 eV above the valence-band maximum after the self-energy correction to the Kohn-Sham eigenvalues. The GW result is in close agreement with a recent surface photovoltage imaging measurement. PACS: 71.15.-m; 71.45.Gm; 73.20.Hb
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