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Many-body perturbation theory in the GW approximation is a useful method for describing electronic properties associated with charged excitations. A hierarchy of GW methods exists, starting from non-self-consistent G0W0, through partial…

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

Ab initio many-body perturbation theory within the $GW$ approximation is a Green's function formalism widely used in the calculation of quasiparticle excitation energies of solids. In what has become an increasingly standard approach,…

The GW approximation in electronic structure theory has become a widespread tool for predicting electronic excitations in chemical compounds and materials. In the realm of theoretical spectroscopy, the GW method provides access to charged…

材料科学 · 物理学 2019-12-11 Dorothea Golze , Marc Dvorak , Patrick Rinke

Accurate predictions of charge excitation energies of molecules in the disordered condensed phase are central to the chemical reactivity, stability, and optoelectronic properties of molecules and critically depend on the specific…

化学物理 · 物理学 2021-08-25 Guorong Weng , Vojtech Vlcek

We present a novel hybrid quantum/classical (QM/MM) approach to the calculation of charged excitations in molecular solids based on the many-body Green's function $GW$ formalism. Molecules described at the $GW$ level are embedded into the…

化学物理 · 物理学 2018-02-14 Jing Li , Gabriele D'Avino , Ivan Duchemin , David Beljonne , Xavier Blase

The $GW$ approximation to many-body perturbation theory is a reliable tool for describing charged electronic excitations, and it has been successfully applied to a wide range of extended systems for several decades using a plane-wave basis.…

材料科学 · 物理学 2019-10-23 Young-Moo Byun , Serdar Öğüt

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 $GW$ approximation has recently gained increasing attention as a viable method for the computation of deep core-level binding energies as measured by X-ray photoelectron spectroscopy (XPS). We present a comprehensive benchmark study of…

化学物理 · 物理学 2022-06-14 Jiachen Li , Ye Jin , Patrick Rinke , Weitao Yang , Dorothea Golze

Two state-of-the-art computational approaches: quantum Monte Carlo (QMC), based on accurate total energies, and GW with exciton effects (GW-BSE), based on perturbation theory are employed to calculate ionization potentials, electron…

材料科学 · 物理学 2009-10-31 Jeffrey C. Grossman , Michael Rohlfing , Lubos Mitas , Steven G. Louie , Marvin L. Cohen

An efficient all-electron G$^0$W$^0$ method and a quasiparticle selfconsistent GW (QSGW) method for molecules are proposed in the molecular orbital space with the full random phase approximation. The convergence with basis set is examined.…

介观与纳米尺度物理 · 物理学 2015-03-17 San-Huang Ke

The GW approximation is a cornerstone of many-body perturbation theory for computing single-particle excitations, yet it fundamentally breaks down in strongly correlated systems where the single-reference picture fails. To overcome this…

化学物理 · 物理学 2026-04-20 Yuqi Wang , Wei-Hai Fang , Zhendong Li

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

The performance of many-body perturbation theory for calculating ground-state properties is investigated. We present fully numerical results for the electron gas in three and two dimensions in the framework of the GW approximation. The…

凝聚态物理 · 物理学 2009-10-31 P. Garcia-Gonzalez , R. W. Godby

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

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

Within the framework of many-body perturbation theory based on Green's functions, the $GW$ approximation has emerged as a pivotal method for computing quasiparticle energies and excitation spectra. However, its high computational cost and…

化学物理 · 物理学 2025-12-25 Yueyang Zhang , Wei Wu , Peifeng Su

The GW approximation is widely used for reliable and accurate modeling of single-particle excitations. It also serves as a starting point for many theoretical methods, such as its use in the Bethe-Salpeter equation (BSE) and dynamical…

计算物理 · 物理学 2024-03-25 Weiwei Gao , Zhao Tang , Jijun Zhao , James R. Chelikowsky

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 examine the performance of the asymptotically corrected model potential scheme on the two lowest singlet excitation energies of acenes with different number of linearly fused benzene rings (up to 5), employing both the real-time…

化学物理 · 物理学 2014-09-23 Wei-Tao Peng , Jeng-Da Chai
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