title: Quasiparticle self-consistent GW method: a short summary.
abstract: We have developed a quasiparticle self-consistent GW method (QSGW), which is a new self-consistent method to calculate the electronic structure within the GW approximation. The method is formulated based on the idea of a self-consistent perturbation; the non-interacting Green function G(0), which is the starting point for GWA to obtain G, is determined self-consistently so as to minimize the perturbative correction generated by GWA. After self-consistency is attained, we have G(0), W (the screened Coulomb interaction) and G self-consistently. This G(0) can be interpreted as the optimum non-interacting propagator for the quasiparticles. We will summarize some theoretical discussions to justify QSGW. Then we will survey results which have been obtained up to now: e.g., band gaps for normal semiconductors are predicted to a precision of 0.1-0.3 eV; the self-consistency including the off-diagonal part is required for NiO and MnO; and so on. There are still some remaining disagreements with experiments; however, they are very systematic, and can be explained from the neglect of excitonic effects.
authors.affiliation: Arizona State University, Tempe, AZ, 85284, USA.
authors.forename: Takao
authors.initials: T
authors.lastname: Kotani
authors.forename: Mark van
authors.initials: Mv
authors.lastname: Schilfgaarde
authors.forename: Sergey V
authors.initials: SV
authors.lastname: Faleev
authors.forename: Athanasios
authors.initials: A
authors.lastname: Chantis