Comparing Self-Consistent GW and Vertex-Corrected G0W0 (G0W0Γ) Accuracy for Molecular Ionization Potentials

M Wen, V Abraham, G Harsha, A Shee… - Journal of Chemical …, 2024 - ACS Publications
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 …

Two-Component GW Calculations: Cubic Scaling Implementation and Comparison of Vertex-Corrected and Partially Self-Consistent GW Variants

A Förster, E van Lenthe, E Spadetto… - Journal of chemical …, 2023 - ACS Publications
We report an all-electron, atomic orbital (AO)-based, two-component (2C) implementation of
the GW approximation (GWA) for closed-shell molecules. Our algorithm is based on the …

Connections and performances of Green's function methods for charged and neutral excitations

E Monino, PF Loos - The Journal of Chemical Physics, 2023 - pubs.aip.org
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 …

Real-Time : Toward an Ab Initio Description of the Ultrafast Carrier and Exciton Dynamics in Two-Dimensional Materials

E Perfetto, Y Pavlyukh, G Stefanucci - Physical Review Letters, 2022 - APS
We demonstrate the feasibility of the time-linear scaling formulation of the GW method [Phys.
Rev. Lett. 124, 076601 (2020) PRLTAO 0031-9007 10.1103/PhysRevLett. 124.076601] for …

The three channels of many-body perturbation theory: GW, particle–particle, and electron–hole T-matrix self-energies

R Orlando, P Romaniello, PF Loos - The Journal of Chemical Physics, 2023 - pubs.aip.org
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 …

Low-Order Scaling G0W0 by Pair Atomic Density Fitting

A Förster, L Visscher - Journal of chemical theory and …, 2020 - ACS Publications
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 …

Mean-field concept and post-DMFT methods in the modern theory of correlated systems

YS Lyakhova, GV Astretsov, AN Rubtsov - Uspekhi Fizicheskikh Nauk, 2023 - ufn.ru
We briefly review methods for modeling correlated systems. The concept of correlations is of
fundamental physical importance for systems such as Mott±Hubbard insulators, high …

Can GW handle multireference systems?

A Ammar, A Marie, M Rodríguez-Mayorga… - The Journal of …, 2024 - pubs.aip.org
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 …

Time-linear scaling nonequilibrium Green's function methods for real-time simulations of interacting electrons and bosons. I. Formalism

Y Pavlyukh, E Perfetto, D Karlsson, R van Leeuwen… - Physical Review B, 2022 - APS
Simulations of interacting electrons and bosons out of equilibrium, starting from first
principles and aiming at realistic multiscale scenarios, is a grand theoretical challenge …

Solving the Bethe-Salpeter equation with exponential convergence

M Wallerberger, H Shinaoka, A Kauch - Physical Review Research, 2021 - APS
The Bethe-Salpeter equation plays a crucial role in understanding the physics of correlated
fermions, relating to optical excitations in solids as well as resonances in high-energy …