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In the Projector Augmented Wave (PAW) method, a local potential, basis functions, and projector functions form an All-Electron (AE) basis for valence wave functions in the application of Density Functional Theory (DFT). The construction of…

Materials Science · Physics 2010-08-05 R. J. Snow , A. F. Wright , C. Y. Fong

The Projected Augmented Waves (PAW) method is based on a linear transformation between the pseudo wavefunctions and the all electron wavefunctions. To obtain high accuracy with this method, it is important that the local part of the linear…

Other Condensed Matter · Physics 2025-04-15 Garry Goldstein

In this article, a numerical analysis of the projector augmented-wave (PAW) method is presented, restricted to the case of dimension one with Dirac potentials modeling the nuclei in a periodic setting. The PAW method is widely used in…

Numerical Analysis · Mathematics 2023-01-02 Mi-Song Dupuy

A Projector Augmented Wave (PAW) atomic data file is needed to be generated for each element, and plays in the PAW method the role of the pseudopotential file for norm-conserving (NC) or ultra-soft (US) plane wave calculations. In this…

Materials Science · Physics 2014-03-05 François Jollet , Marc Torrent , Natalie Holzwarth

The purpose of this text is to give a self-contained description of the basic theory of the projector augmented-wave (PAW) method, as well as most of the details required to make the method work in practice. These two topics are covered in…

Materials Science · Physics 2009-10-13 Carsten Rostgaard

Pair atomic density fitting (PADF) is a promising strategy to reduce the scaling with system size of quantum chemical methods for the calculation of the correlation energy like the direct random phase approximation (RPA) or second-order…

Chemical Physics · Physics 2023-03-14 Edoardo Spadetto , Pier Herman Theodoor Philipsen , Arno Förster , Lucas Visscher

We present a Projector Augmented-Wave~(PAW) method based on a wavelet basis set. We implemented our wavelet-PAW method as a PAW library in the ABINIT package [http://www.abinit.org] and into BigDFT [http://www.bigdft.org]. We test our…

Materials Science · Physics 2016-10-12 Tonatiuh Rangel , Damien Caliste , Luigi Genovese , Marc Torrent

We present an implementation of the linear density response function within the projector-augmented wave (PAW) method with applications to the linear optical and dielectric properties of both solids, surfaces, and interfaces. The response…

Materials Science · Physics 2011-06-28 Jun Yan , Jens. J. Mortensen , Karsten W. Jacobsen , Kristian S. Thygesen

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

A brief introduction to the projector augmented wave method is given and recent developments are reviewed. The projector augmented wave method is an all-electron method for efficient ab-initio molecular dynamics simulations with the full…

Materials Science · Physics 2007-05-23 Peter E. Blöchl , Clemens J. Först , Johannes Schimpl

In Kohn-Sham electronic structure computations, wave functions have singularities at nuclear positions. Because of these singularities, plane-wave expansions give a poor approximation of the eigenfunctions. In conjunction with the use of…

Numerical Analysis · Mathematics 2023-01-02 Xavier Blanc , Eric Cancès , Mi-Song Dupuy

We show that quasiparticle (QP) energies as calculated in the $GW$ approximation converge to the wrong value using the projector augmented wave (PAW) method, since the overlap integrals between occupied orbitals and high energy, plane wave…

Materials Science · Physics 2014-08-20 Jiří Klimeš , Merzuk Kaltak , Georg Kresse

In this work, we present a computationally efficient methodology that utilizes a local real-space formulation of the projector augmented wave (PAW) method discretized with a finite-element (FE) basis to enable accurate and large-scale…

Computational Physics · Physics 2025-01-03 Kartick Ramakrishnan , Sambit Das , Phani Motamarri

We construct a reference database of materials properties calculated using density-functional theory in the local or generalized-gradient approximation, and an all-electron or a projector augmented-wave (PAW) formulation, for verification…

Materials Science · Physics 2014-04-14 E. Kucukbenli , M. Monni , B. I. Adetunji , X. Ge , G. A. Adebayo , N. Marzari , S. de Gironcoli , A. Dal Corso

We evaluate the zero-point renormalization (ZPR) due to electron-phonon interactions of 28 solids using the projector-augmented-wave (PAW) method. The calculations cover diamond, many zincblende semiconductors, rock-salt and wurtzite…

The direct random-phase approximation (dRPA) is used to calculate and compare atomization energies for the HEAT set and 10 selected molecules of the G2-1 set using both plane waves and Gaussian-type orbitals. We describe detailed procedures…

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…

Materials Science · Physics 2009-11-10 S. Lebègue , B. Arnaud , M. Alouani , P. E. Bloechl

We examine the challenge of performing accurate electronic structure calculations at high pressures by comparing the results of all-electron full potential linearized augmented-plane-wave calculations with those of the projector augmented…

Computational Physics · Physics 2018-01-11 Kanchan Sarkar , Mehmet Topsakal , N. A. W. Holzwarth , Renata M. Wentzcovitch

A grid-based real-space implementation of the Projector Augmented Wave (PAW) method of P. E. Blochl [Phys. Rev. B 50, 17953 (1994)] for Density Functional Theory (DFT) calculations is presented. The use of uniform 3D real-space grids for…

Materials Science · Physics 2009-11-10 J. J. Mortensen , L. B. Hansen , K. W. Jacobsen

In this study, the impact of an air bubbler on the properties of plasma-activated water (PAW) was investigated in different configurations. A pencil plasma jet (PPJ) using a dielectric barrier discharge (DBD) was used to prepare PAW. In one…

Plasma Physics · Physics 2023-02-15 Vikas Rathore , Nirav Jamnapara , Sudhir Kumar Nema
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