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GW calculations with fully self-consistent G and W -- based on the iterative solution of the Dyson equation -- provide an approach for consistently describing ground and excited states on the same quantum mechanical level. We show that for…

材料科学 · 物理学 2012-09-27 Fabio Caruso , Patrick Rinke , Xinguo Ren , Matthias Scheffler , Angel Rubio

We calculate single-particle excitation energies for a series of 33 molecules using fully selfconsistent GW, one-shot G$_0$W$_0$, Hartree-Fock (HF), and hybrid density functional theory (DFT). All calculations are performed within the…

材料科学 · 物理学 2015-05-14 C. Rostgaard , K. W. Jacobsen , K. S. Thygesen

We test the performance of self-consistent GW and several representative implementations of vertex corrected G0W0 (G0W0{\Gamma}). These approaches are tested on benchmark data sets covering full valence spectra (first ionization potentials…

化学物理 · 物理学 2024-04-09 Ming Wen , Vibin Abraham , Gaurav Harsha , Avijit Shee , K. Birgitta Whaley , Dominika Zgid

This paper describes an all-electron implementation of the self-consistent GW (sc-GW) approach -- i.e. based on the solution of the Dyson equation -- in an all-electron numeric atom-centered orbital (NAO) basis set. We cast Hedin's…

材料科学 · 物理学 2013-08-12 Fabio Caruso , Patrick Rinke , Xinguo Ren , Angel Rubio , Matthias Scheffler

We show how to construct an effective Hamiltonian whose dimension scales linearly with system size, and whose eigenvalues systematically approximate the excitation energies of GW theory. This is achieved by rigorously expanding the…

化学物理 · 物理学 2023-07-18 Charles J. C. Scott , Oliver J. Backhouse , George H. Booth

The formalism of the continuum random-phase approximation theory which treats, without ap- proximations, the continuum part of the single-particle spectrum, is extended to describe charge- exchange excitations. Our approach is…

核理论 · 物理学 2016-04-05 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

We present a comparison of various approximations to self-consistency in the GW method, including the one-shot G0W0 method, different quasiparticle self-consistency schemes, and the fully self-consistent GW (scGW) approach. To ensure an…

强关联电子 · 物理学 2025-10-17 Gaurav Harsha , Vibin Abraham , Ming Wen , Dominika Zgid

We perform $GW$ calculations on atoms and diatomic molecules at different levels of self-consistency and investigate the effects of self-consistency on total energies, ionization potentials and on particle number conservation. We further…

其他凝聚态物理 · 物理学 2015-05-13 Adrian Stan , Nils Erik Dahlen , Robert van Leeuwen

The $GW$ approximation is a well-established method for calculating ionization potentials and electron affinities in solids and molecules. For numerous years, obtaining self-consistent $GW$ total energies in solids has been a challenging…

化学物理 · 物理学 2023-06-28 Adam Hassan Denawi , Fabien Bruneval , Marc Torrent , Mauricio Rodríguez-Mayorga

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 space-time formulation of the GWA and uses analytical…

化学物理 · 物理学 2023-09-11 Arno Förster , Erik van Lenthe , Edoardo Spadetto , Lucas Visscher

An efficient implementation of the self-consistent GW method in the FlapwMBPT code (https://www.bnl.gov/cmpmsd/flapwmbpt/) is presented. It features the evaluation of polarizability and self-energy which scales linearly with respect to the…

材料科学 · 物理学 2020-08-05 Andrey L. Kutepov

In past decades the scientific community has been looking for a reliable first-principles method to predict the electronic structure of solids with high accuracy. Here we present an approach which we call the quasiparticle self-consistent…

材料科学 · 物理学 2009-11-11 M. van Schilfgaarde , T. Kotani , S. Faleev

Novel results for the self-consistent single-particle spectral function and self-energy are presented for non-degenerate one-component Coulomb systems at various densities and temperatures. The GW^0-method for the dynamical self-energy is…

等离子体物理 · 物理学 2009-11-13 Carsten Fortmann

Two self-consistent schemes involving Hedin's $GW$ approximation are studied for a set of sixteen different atoms and small molecules. We compare results from the fully self-consistent $GW$ approximation (SC$GW$) and the quasi-particle…

材料科学 · 物理学 2015-06-19 Peter Koval , Dietrich Foerster , Daniel Sánchez-Portal

The fully self-consistent $GW$ (sc$GW$) method with the iterative solution of Dyson equation provides a consistent approach for describing the ground and excited states without any dependence on the mean-field reference. In this work, we…

化学物理 · 物理学 2024-01-23 Vibin Abraham , Gaurav Harsha , Dominika Zgid

We present algorithmic and implementation details for the fully self-consistent finite-temperature $GW$ method in Gaussian Bloch orbitals for solids. Our implementation is based on the finite-temperature Green's function formalism in which…

材料科学 · 物理学 2022-12-14 Chia-Nan Yeh , Sergei Iskakov , Dominika Zgid , Emanuel Gull

We derive a general form of eigenvalue self-consistency for $GW_{0}$ in the time domain and use it to obtain a simplified postprocessing eigenvalue self-consistency, which we label $\bar{\Delta}GW_{0}$. The method costs the same as a…

化学物理 · 物理学 2018-11-14 Vojtěch Vlček , Roi Baer , Eran Rabani , Daniel Neuhauser

The $GW$ approximation has become an important tool for predicting charged excitations of isolated molecules and condensed systems. Its popularity can be attributed to many factors, including a favorable scaling and relatively good…

化学物理 · 物理学 2023-12-18 Daniel Mejia-Rodriguez

Based on an exact functional form derived for the three-point vertex function $\Gamma$, we propose a self-consistent calculation scheme for the electron self-energy with $\Gamma$ always satisfying the Ward identity. This scheme is basically…

材料科学 · 物理学 2010-05-11 Soh Ishii , Hideaki Maebashi , Yasutami Takada

We present theoretical calculations of quasiparticle energies in closed-shell molecules using the GW method. We compare three different approaches: a full-frequency $G_0W_0$ (FF-$G_0W_0$) method with density functional theory (DFT-PBE) used…

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