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The $GW$ approach of many-body perturbation theory (MBPT) has become a commontool for calculating the electronic structure of materials. However, withincreasing number of published results, discrepancies between the valuesobtained by different methods and codes become more and more apparent. For atest set of small- and wide-gap semiconductors, we demonstrate how to reach thenumerically \emph{best} electronic structure within the framework of thefull-potential linearized augmented planewave (FLAPW) method. We first evaluatethe impact of local orbitals in the Kohn-Sham eigenvalue spectrum of theunderlying starting point. The role of the basis-set quality is then furtheranalyzed when calculating the $G_0W_0$ quasiparticle energies. Our results,computed with the \exciting{} code, are compared to those obtained using theprojector-augmented planewave (PAW) formalism, finding overall, good agreementbetween both methods. We also provide data produced with a typical FLAPW basisset as a benchmark for other $G_0W_0$ implementations.

Accurate all-electron $G_0W_0$ quasiparticle energies employing the full-potential augmented planewave method