# Reproducibility in $G_0W_0$ calculations for solids

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Abstract : Ab initio many-body perturbation theory within the GW approximation is a Green’s function formalism widely used in the calculation of quasiparticle excitation energies of solids. In what has become an increasingly standard approach, Kohn-Sham eigenenergies, generated from a DFT calculation with a strategically-chosen exchange correlation functional “starting point”, are used to construct G and W , and then perturbatively corrected by the resultant GW self-energy. In practice, there are several ways to construct the GW self-energy, and these can lead to variations in predicted quasiparticle energies. For example, for ZnO and TiO 2 , reported GW fundamental gaps can vary by more than 1 eV. In this work, we address the convergence and key approximations in contemporary G 0 W 0 calculations, including frequency-integration schemes and the treatment of the Coulomb divergence in the exact-exchange term. We study several systems, and compare three different GW codes: BerkeleyGW, Abinit and Yambo. We demonstrate, for the first time, that the same quasiparticle energies for systems in the condensed phase can be obtained with different codes, and we provide a comprehensive assessment of implementations of the GW approximation.
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Journal articles
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Submitted on : Friday, May 7, 2021 - 3:34:03 PM
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### Citation

Tonatiuh Rangel, Mauro del Ben, Daniele Varsano, Gabriel Antonius, Fabien Bruneval, et al.. Reproducibility in $G_0W_0$ calculations for solids. Computer Physics Communications, Elsevier, 2020, 255, pp.107242. ⟨10.1016/j.cpc.2020.107242⟩. ⟨cea-02927610⟩

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