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Using seven semiconductors/insulators with band gaps covering the range from 1 eV to 10 eV we systematically explore the performance of two different variants of self-consistency associated with famous Hedin's system of equations: the full…

Materials Science · Physics 2022-01-20 Andrey L. Kutepov

We present a $GW$ space-time algorithm for periodic systems in a Gaussian basis including spin-orbit coupling. We employ lattice summation to compute the irreducible density response and the self-energy, while we employ $k$-point sampling…

We develop a discontinuous Galerkin (DG) framework for automatically constructing adaptive basis sets for electronic structure calculations. By allowing basis functions to be discontinuous across element interfaces, our approach supports…

Computational Physics · Physics 2026-03-03 Yulong Pan , Michael Lindsey

The electronic band structure of SrTiO$_3$ is investigated in the all-electron QS$GW$ approximation. Unlike previous pseudopotential based QS$GW$ or single-shot $G_0W_0$ calculations, the gap is found to be significantly overestimated…

Materials Science · Physics 2018-01-31 Churna Bhandari , Mark van Schilfgaarde , Takao Kotani , Walter R. L. Lambrecht

The many-body perturbation theory within the $GW$ approximation is a widely used method for describing the electronic band structures in real materials. Its application to large-scale systems is, however, impeded by its high computational…

Materials Science · Physics 2026-05-22 Min-Ye Zhang , Peize Lin , Rong Shi , Xinguo Ren

The electronic structure of the zincblende $\beta$-HgS is not well understood. Previous first-principles calculations using fully-relativistic density functional theory and many-body perturbation theory in the fully-relativistic $GW$…

Materials Science · Physics 2022-03-31 Bradford A. Barker , Steven G. Louie

We present two new developments for computing excited state energies within the $GW$ approximation. First, calculations of the Green's function and the screened Coulomb interaction are decomposed into two parts: one is deterministic while…

Computational Physics · Physics 2020-10-28 Mariya Romanova , Vojtěch Vlček

First-principles descriptions of correlated quantum materials require a simultaneous treatment of strong local many-body effects and nonlocal dynamical screening. We present an efficient fully self-consistent implementation of $GW$+EDMFT…

Strongly Correlated Electrons · Physics 2026-03-16 Chia-Nan Yeh , Francesco Petocchi , Alexander Hampel , Philipp Werner , Olivier Parcollet , Antoine Georges , Miguel Morales

Molecule-metal interfaces have a broad range of applications in nanoscale materials science. Accurate characterization of their electronic structures from first-principles is key in understanding material and device properties. The GW…

Materials Science · Physics 2020-02-05 Zhenfei Liu

Atomic hydrogen provides a unique test case for computational electronic structure methods, since its electronic excitation energies are known analytically. With only one electron, hydrogen contains no electronic correlation and is…

Materials Science · Physics 2007-05-23 W. Nelson , P. Bokes , Patrick Rinke , R. W. Godby

Charged excitations of the oligoacene family of molecules, relevant for astrophysics and technological applications, are widely studied and therefore provide an excellent system for benchmarking theoretical methods. In this work, we…

Chemical Physics · Physics 2016-05-18 Tonatiuh Rangel , Samia M. Hamed , Fabien Bruneval , Jeffrey B. Neaton

Herein, we present analytical solutions for the electronic energy eigenvalues of the hydrogen molecular ion H2+, namely the one-electron two-fixed-center problem. These are given for the homonuclear case for the countable infinity of…

Chemical Physics · Physics 2009-11-13 Tony C. Scott , Monique Aubert-Frecon , Johannes Grotendorst

Similar to other electron correlation methods, many-body perturbation theory methods based on Green functions, such as the so-called $GW$ approximation, suffer from the usual slow convergence of energetic properties with respect to the size…

We present an implementation of a time-dependent multiconfiguration self-consistent-field (TD-MCSCF) method [R. Anzaki et al., Phys. Chem. Chem. Phys. 19, 22008 (2017)] with the full configuration interaction expansion for coupled…

Atomic Physics · Physics 2021-10-08 Yang Li , Takeshi Sato , Kenichi L. Ishikawa

We propose a novel approach to quasiparticle GW calculations which does not require the computation of unoccupied electronic states. In our approach the screened Coulomb interaction is evaluated by solving self-consistent linear-response…

Materials Science · Physics 2015-05-14 Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

The GW approximation within many-body perturbation theory is the state of the art for computing quasiparticle energies in solids. Typically, Kohn-Sham (KS) eigenvalues and eigenfunctions, obtained from a Density Functional Theory (DFT)…

We report quasiparticle-energy calculations of the electronic bandstructure as measured by valence-band photoemission for selected II-VI compounds and group-III-nitrides. By applying GW as perturbation to the ground state of the fictitious,…

Materials Science · Physics 2009-11-11 Patrick Rinke , Abdallah Qteish , Joerg Neugebauer , Christoph Freysoldt , Matthias Scheffler

By expressing the electronic wavefunction in an explicitly-correlated (Jastrow-factorised) form, a similarity-transformed effective Hamiltonian can be derived. The effective Hamiltonian is non-Hermitian and contains three-body interactions.…

Chemical Physics · Physics 2019-08-09 Aron J. Cohen , Hongjun Luo , Kai Guther , Werner Dobrautz , David P. Tew , Ali Alavi

The $GW$ method is widely used for calculating the electronic band structure of materials. The high computational cost of $GW$ algorithms prohibits their application to many systems of interest. We present a periodic, low-scaling and highly…

Homogeneous nuclear matter is investigated using the \textit{ab initio} Self-consistent Green's function (SCGF) approach with nuclear interactions based on chiral effective field theory. The employed method, which combines the…

Nuclear Theory · Physics 2026-02-13 Francesco Marino , Carlo Barbieri , Gianluca Colò , Weiguang Jiang , Samuel J. Novario