We test the performance of self-consistent GW and several representative implementations
of vertex-corrected G 0 W 0 (G 0 W 0Γ). These approaches are tested on benchmark data …

We use the GW100 benchmark set to systematically judge the quality of several perturbation
theories against high-level quantum chemistry methods. First of all, we revisit the reference …

In recent years, Green's function methods have garnered considerable interest due to their
ability to target both charged and neutral excitations. Among them, the well-established GW …

We derive the explicit expression of the three self-energies that one encounters in many-
body perturbation theory: the well-known GW self-energy, as well as the particle–particle …

We derive a low-scaling G 0 W 0 algorithm for molecules using pair atomic density fitting
(PADF) and an imaginary time representation of the Green's function and describe its …

We describe the relationship between the GW approximation and various equation-of-
motion (EOM) coupled-cluster (CC) theories. We demonstrate the exact equivalence of the G …

Efficient computer implementations of the GW approximation must approximate a
numerically challenging frequency integral; the integral can be performed analytically, but …

Within many-body perturbation theory, Hedin's formalism offers a systematic way to
iteratively compute the self-energy Σ of any dynamically correlated interacting system …

Due to the infinite summation of bubble diagrams, the GW approximation of Green's function
perturbation theory has proven particularly effective in the weak correlation regime, where …

Accurate prediction of electron removal and addition energies is essential for reproducing
neutral excitation spectra in molecules using Bethe–Salpeter equation methods. A Hartree …