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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

We have developed a multi-GPU version of the quasiparticle self-consistent $GW$ (QSGW), a cutting-edge method for describing electronic excitations in a first-principles approach. While the QSGW calculation algorithm is inherently…

Computational Physics · Physics 2025-06-05 Masao Obata , Takao Kotani , Tatsuki Oda

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

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 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

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

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…

Materials Science · Physics 2019-12-11 Dorothea Golze , Marc Dvorak , Patrick Rinke

The $GW$ approach of many-body perturbation theory (MBPT) has become a common tool for calculating the electronic structure of materials. However, with increasing number of published results, discrepancies between the values obtained by…

Materials Science · Physics 2016-08-03 Dmitrii Nabok , Andris Gulans , Claudia Draxl

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…

GW approximation is one of the most popular parameter-free many-body methods that goes beyond the limitations of the standard density functional theory (DFT) to determine the excitation spectra for moderately correlated materials and in…

Materials Science · Physics 2023-12-12 Kristjan Haule , Subhasish Mandal

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.…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 San-Huang Ke

BerkeleyGW is a massively parallel computational package for electron excited-state properties that is based on the many-body perturbation theory employing the ab initio GW and GW plus Bethe-Salpeter equation methodology. It can be used in…

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 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…

Materials Science · Physics 2026-05-22 Bohan Jia , Min-Ye Zhang , Ziqing Guan , Huanjing Gong , Xinguo Ren

$GW$ is an accurate method for computing electron addition and removal energies of molecules and solids. In a conventional $GW$ implementation, however, its computational cost is $O(N^4)$ in the system size $N$, which prohibits its…

Chemical Physics · Physics 2021-03-22 Jan Wilhelm , Patrick Seewald , Dorothea Golze

We have developed the quasiparticle self-consistent GW (QSGW) method based on a recently developed mixed basis all-electron full-potential method (the PMT method), which uses the augmented plane waves (APWs) and the highly localized…

Materials Science · Physics 2014-08-18 Takao Kotani

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…

Materials Science · Physics 2007-05-23 B. Arnaud , M. Alouani

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…

Chemical Physics · Physics 2025-12-25 Yueyang Zhang , Wei Wu , Peifeng Su
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