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    Diagrammatic Route to Multireference GW for Strongly Correlated Molecules

    Yuqi Wang, Wei-Hai Fang, and Zhendong Li*

    • *Contact author: zhendongli@bnu.edu.cn

    Phys. Rev. Lett. 137, 176402 – Published 21 October, 2026

    DOI: https://doi.org/10.1103/y5vk-b5xg

    Abstract

    The GW approximation is a cornerstone of many-body perturbation theory for computing single-particle excitations, yet it can fail qualitatively in strongly correlated systems where the single-reference picture becomes inadequate. To overcome this limitation, we develop a diagrammatic route to multireference GW (MR-GW) from an interacting active-space reference, treating strong correlation nonperturbatively and the residual interaction through dynamical screening at the multireference random phase approximation level. Because the conventional diagrammatic self-energy expansion no longer applies, we define a practical one-shot MR-GW approximation within a generalized diagrammatic framework, recovering standard GW as a special case. Applications to prototypical correlated atoms and molecules show that the interacting active-space reference captures multiconfigurational satellite structures poorly described by single-reference GW, while dynamical screening generally improves the satellite energies as well as the leading ionization and electron-attachment energies. This work opens a diagrammatic route to Green’s-function methods that combine nonperturbative strong correlation with dynamical screening.

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