  We present a new kind self-consistent GW approximation (scGW) based on the
all-electron, full-potential LMTO method. By iterating the eigenfunctions of
the GW Hamiltonian, self-consistency in both the charge density and the
quasiparticle spectrum is achieved. We explain why this form of
self-consistency should be preferred to the conventional one. Then some results
for Si are shown as a representative semiconductor, to establish agreement with
a prior scGW calculation. Finally we consider many details in the electronic
structure of the antiferromagnetic insulators MnO and NiO. Excellent agreement
with experiment is shown for many properties, suggesting that a Landau
quasiparticle (energy band) picture of MnO and NiO provides a reasonable
description of electronic structure even in these correlated materials.
