Abstract
We propose an approach to reliably calculate band offsets at heterointerfaces. It is based on standard density-functional theory, but overcomes the band-gap problem by including quasiparticle effects at the level of $GW$ theory. Quasiparticle corrections are extracted from a heterojunction superlattice by translating the experimental concept of marker levels into a theoretical approach. The proposed scheme allows one to exploit the robust prediction of relative band positions within $GW$ and therefore does not rely on the transferability of absolute $GW$ corrections for the respective bulk materials. For zinc-blende GaN/AlN (001), we obtain a natural band offset of 0.55 eV, compared to 0.39 eV at the local-density approximation level.
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