Defect Formation Energies without the Band-Gap Problem: Combining Density-Functional Theory and the GW Approach for the Silicon Self-Interstitial

We present an improved method to calculate defect formation energies that overcomes the band-gap problem of Kohn-Sham density-functional theory (DFT) and reduces the self-interaction error of the local-density approximation (LDA) to DFT. We demonstrate for the silicon self-interstitial that combining LDA with quasiparticle energy calculations in the G(0)W(0) approach increases the defect formation energy of the neutral charge state by similar to 1.1 eV, which is in good agreement with diffusion Monte Carlo calculations (E. R. Batista , Phys. Rev. B 74, 121102(R) (2006); W.-K. Leung Phys. Rev. Lett. 83, 2351 (1999)). Moreover, the G(0)W(0)-corrected charge transition levels agree well with recent measurements.