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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…

Chemical Physics · Physics 2024-09-12 Mia Schambeck , Dorothea Golze , Jan Wilhelm

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…

Chemical Physics · Physics 2021-04-21 Jan Wilhelm , Dorothea Golze , Leopold Talirz , Jürg Hutter , Carlo A. Pignedoli

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 $GW$ 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…

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)…

Chemical Physics · Physics 2017-07-18 Vojtech Vlcek , Eran Rabani , Daniel Neuhauser , Roi Baer

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

We present a tight-binding based GW approach for the calculation of quasiparticle energy levels in confined systems such as molecules. Key quantities in the GW formalism like the microscopic dielectric function or the screened Coulomb…

Materials Science · Physics 2009-11-10 T. A. Niehaus , M. Rohlfing , F. Della Sala , A. Di Carlo , Th. Frauenheim

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…

Chemical Physics · Physics 2023-09-11 Arno Förster , Erik van Lenthe , Edoardo Spadetto , Lucas Visscher

The physics of electronic energy level alignment at interfaces formed between molecules and metals can in general be accurately captured by the \emph{ab initio} $GW$ approach. However, the computational cost of such $GW$ calculations for…

Materials Science · Physics 2019-06-27 Zhen-Fei Liu , Felipe H. da Jornada , Steven G. Louie , Jeffrey B. Neaton

We present a scalable implementation of the $GW$ approximation using Gaussian atomic orbitals to study the valence and core ionization spectroscopies of molecules. The implementation of the standard spectral decomposition approach to the…

Chemical Physics · Physics 2021-12-06 Daniel Mejia-Rodriguez , Alexander Kunitsa , Edoardo Aprà , Niranjan Govind

We present an accurate approach to compute X-ray photoelectron spectra based on the $GW$ Green's function method, that overcomes shortcomings of common density functional theory approaches. $GW$ has become a popular tool to compute valence…

Chemical Physics · Physics 2020-03-11 Dorothea Golze , Levi Keller , Patrick Rinke

The GW method, which can describe accurately electronic excitations, is one of the most widely used ab initio electronic structure technique and allows the physics of both molecular and condensed phase materials to be studied. However, the…

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…

Computational Physics · Physics 2024-03-25 Weiwei Gao , Zhao Tang , Jijun Zhao , James R. Chelikowsky

Recently, the $GW$ approach has emerged as a valuable tool for computing deep core-level binding energies as measured in X-ray photoemission spectroscopy. However, $GW$ fails to accurately predict shake-up satellite features, which arise…

Chemical Physics · Physics 2024-12-24 Jannis Kockläuner , Dorothea Golze

The GW method is a many-body electronic structure technique capable of generating accurate quasiparticle properties for realistic systems spanning physics, chemistry, and materials science. Despite its power, GW is not routinely applied to…

Computational Physics · Physics 2020-02-19 Minjung Kim , Glenn J. Martyna , Sohrab Ismail-Beigi

The $GW$ approximation has been recently gaining popularity among the method for simulating molecular core-level X-ray photoemission spectra. Traditionally, $GW$ core-level binding energies have been computed using either the cc-pV$n$Z or…

Chemical Physics · Physics 2022-07-13 Daniel Mejia-Rodriguez , Alexander Kunitsa , Edoardo Aprà , Niranjan Govind

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…

Materials Science · Physics 2010-11-15 Christoph Friedrich , Stefan Blügel , Arno Schindlmayr

The $GW$ method delivers substantially improved accuracy in electronic band structure calculations over conventional Kohn-Sham density functional theory (KS-DFT) by explicitly incorporating the electron self-energy effect beyond mean-field…

Materials Science · Physics 2026-05-13 Huanjing Gong , Min-Ye Zhang , Peize Lin , Bohan Jia , Ziqing Guan , Lixin He , Xinguo Ren

Although the GW approximation is recognized as one of the most accurate theories for predicting materials excited states properties, scaling up conventional GW calculations for large systems remains a major challenge. We present a powerful…

Computational Physics · Physics 2018-03-28 Weiwei Gao , Weiyi Xia , Xiang Gao , Peihong Zhang

We develop a formalism to calculate the quasi-particle energy within the GW many-body perturbation correction to the density functional theory (DFT). The occupied and virtual orbitals of the Kohn-Sham (KS) Hamiltonian are replaced by…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Daniel Neuhauser , Yi Gao , Christopher Arntsen , Cyrus Karshenas , Eran Rabani , Roi Baer
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