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In the $GW$ approximation, the screened interaction $W$ is a non-local and dynamical potential that usually has a complex frequency dependence. A full description of such dependence is possible but often computationally demanding. For this…

The GW self-energy may become computationally challenging to evaluate because of frequency and momentum convolutions. These difficulties were recently addressed by the development of the multipole approximation (MPA) and the W-av methods:…

The properties of metallic systems with important and structured excitations at low energies, such as Cu, are challenging to describe with simple models like the plasmon pole approximation (PPA), and more accurate and sometimes prohibitive…

材料科学 · 物理学 2023-04-26 Dario A. Leon , Andrea Ferretti , Daniele Varsano , Elisa Molinari , Claudia Cardoso

A new implementation of the GW approximation (GWA) based on the all-electron Projector-Augmented-Wave method (PAW) is presented, where the screened Coulomb interaction is computed within the Random Phase Approximation (RPA) instead of the…

材料科学 · 物理学 2009-11-10 S. Lebègue , B. Arnaud , M. Alouani , P. E. Bloechl

In principle, the Luttinger-Ward Green's function formalism allows one to compute simultaneously the total energy and the quasiparticle band structure of a many-body electronic system from first principles. We present approximate and exact…

材料科学 · 物理学 2015-05-18 Sohrab Ismail-Beigi

Developing theoretical understanding of complex reactions and processes at interfaces requires using methods that go beyond semilocal density functional theory to accurately describe the interactions between solvent, reactants and…

We present an implementation of the GW approximation for the electronic self-energy within the full-potential linearized augmented-plane-wave (FLAPW) method. The algorithm uses an all-electron mixed product basis for the representation of…

材料科学 · 物理学 2010-11-15 Christoph Friedrich , Stefan Blügel , Arno Schindlmayr

We calculate the single-particle spectral function for doped bilayer graphene in the low energy limit, described by two parabolic bands with zero band gap and long range Coulomb interaction. Calculations are done using thermal Green's…

介观与纳米尺度物理 · 物理学 2014-04-18 Andro Sabashvili , Stellan Östlund , Mats Granath

The random phase approximation (RPA) and the $GW$ approximation share the same total energy functional but RPA is defined on a restricted domain of Green's functions determined by a local Kohn-Sham (KS) potential. In this work, we perform…

材料科学 · 物理学 2025-08-26 Thomas Pitts , Damian Contant , Maria Hellgren

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

Functionals of the meta-generalized gradient approximation (MGGA) are nowadays widely used in chemistry and solid-state physics for the simulation of electronic systems like molecules, solids, or surfaces. Due to their dependency on the…

材料科学 · 物理学 2022-05-31 Jan Doumont , Fabien Tran , Peter Blaha

With the aim of identifying universal trends, we compare fully self-consistent electronic spectra and total energies obtained from the GW approximation with those from an extended GWGamma scheme that includes a nontrivial vertex function…

材料科学 · 物理学 2007-05-23 Arno Schindlmayr , Thomas J. Pollehn , R. W. Godby

We use an all-electron implementation of the GW approximation to analyze several possible sources of error in the theory and its implementation. Among these are convergence in the polarization and Green's functions, the dependence of QP…

材料科学 · 物理学 2013-05-29 M. van Schilfgaarde , T. Kotani , S. Faleev

We have implemented the so called GW approximation (GWA) based on an all-electron full-potential Projector Augmented Wave (PAW) method. For the screening of the Coulomb interaction W we tested three different plasmon-pole dielectric…

材料科学 · 物理学 2007-05-23 B. Arnaud , M. Alouani

In many-body perturbation theory (MBPT) the self-energy \Sigma=iGW\Gamma plays the key role since it contains all the many body effects of the system. The exact self-energy is not known; as first approximation one can set the vertex…

强关联电子 · 物理学 2012-04-23 Pina Romaniello , Friedhelm Bechstedt , Lucia Reining

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

The self-consistent theory of the correlation effects in Highly Correlated Systems(HCS) is presented. The novel Irreducible Green's Functions(IGF) method is discused in detail for the Hubbard model and random Hubbard model. The…

强关联电子 · 物理学 2008-02-03 A. L. Kuzemsky

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 spectral function for an electron one-component plasma is calculated self-consistently using the GW0 approximation for the single-particle self-energy. In this way, correlation effects which go beyond the mean-field description of the…

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

In the derivation of low-energy effective models for solids targeting the bands near the Fermi level, the constrained random phase approximation (cRPA) has become an appreciated tool to compute the effective interactions. The Wick-ordered…

强关联电子 · 物理学 2015-07-15 Michael Kinza , Carsten Honerkamp
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