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相关论文: All-electron GW calculation for molecules: Ionizat…

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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

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 report an all-electron implementation of the quasiparticle self-consistent GW (QSGW) method for molecular and periodic systems within the framework of numerical atomic orbitals (NAOs), as implemented in the LibRPA software package. Our…

材料科学 · 物理学 2026-05-22 Bohan Jia , Min-Ye Zhang , Ziqing Guan , Huanjing Gong , Xinguo Ren

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

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 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…

We introduce an alternative route to quasiparticle self-consistent $GW$ calculations ($\mathrm{qs}GW$) on the basis of a Joint Approximate Diagonalization of the one-body $GW$ Green's functions $G(\varepsilon_n^{QP})$ taken at the input…

材料科学 · 物理学 2024-12-05 Ivan Duchemin , Xavier Blase

The GW approximation of many-body perturbation theory is an accurate method for computing electron addition and removal energies of molecules and solids. In a canonical implementation, however, its computational cost is $O(N^4)$ in the…

化学物理 · 物理学 2021-04-21 Jan Wilhelm , Dorothea Golze , Leopold Talirz , Jürg Hutter , Carlo A. Pignedoli

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

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

Quasiparticle (QP) excitations are extremely important for understanding and predicting charge transfer and transport in molecules, nanostructures and extended systems. Since density functional theory (DFT) within the Kohn-Sham (KS)…

化学物理 · 物理学 2017-07-18 Vojtech Vlcek , Eran Rabani , Daniel Neuhauser , Roi Baer

We present the formalism and implementation of quasi-particle self-consistent GW (qsGW) and eigenvalue only quasi-particle self-consistent GW (evGW) adapted to standard quantum chemistry packages. Our implementation is benchmarked against…

化学物理 · 物理学 2024-04-10 F. Kaplan , M. E. Harding , C. Seiler , F. Weigend , F. Evers , M. J. van Setten

The $GW$ approximation is a widely used method for computing electron addition and removal energies of molecules and solids. The computational effort of conventional $GW$ algorithms increases as $O(N^4)$ with the system size $N$, hindering…

化学物理 · 物理学 2024-09-12 Mia Schambeck , Dorothea Golze , Jan Wilhelm

This paper analyses the GW method for finite electronic systems. In a first step, we provide a mathematical framework for the usual one-body operators that appear naturally in many-body perturbation theory. We then discuss the GW equations…

数学物理 · 物理学 2025-05-20 Eric Cancès , David Gontier , Gabriel Stoltz

Using many-body perturbation theory within the $G_0W_0$ approximation, we explore routes for computing the ionization potential (IP), electron affinity (EA), and fundamental gap of three gas-phase molecules -- benzene, thiophene, and (1,4)…

材料科学 · 物理学 2012-10-10 Sahar Sharifzadeh , Isaac Tamblyn , Peter Doak , Pierre T. Darancet , Jeffrey B. Neaton

We have developed a new type of self-consistent scheme within the $GW$ approximation, which we call quasiparticle self-consistent $GW$ (QS$GW$). We have shown that QS$GW$ rather well describes energy bands for a wide-range of materials,…

材料科学 · 物理学 2007-10-05 Takao Kotani , Mark van Schilfgaarde , Sergey V. Faleev

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 calculate groundstate total energies and single-particle excitation energies of seven pi conjugated molecules described with the semi-empirical Pariser-Parr-Pople (PPP) model using self-consistent many-body perturbation theory at the GW…

介观与纳米尺度物理 · 物理学 2013-11-22 K. Kaasbjerg , K. S. Thygesen

For the recent GW100 test set of molecular ionization energies, we present a comprehensive assessment of different GW methodologies: fully self-consistent GW (scGW), quasiparticle self-consistent GW (qsGW), partially self-consistent GW0…

化学物理 · 物理学 2018-05-17 Fabio Caruso , Matthias Dauth , Michiel J. van Setten , Patrick Rinke

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
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