On the Property (gw)

M Amouch, M Berkani - Mediterranean journal of mathematics, 2008 - Springer
… property (gw) in connection with Weyl type theorems. We show that if T is a bounded linear
operator T acting on a Banach space X, then property (gw) holds for T if and only if property (w…

Property and perturbations

MHM Rashid - Bulletin of the Belgian Mathematical Society-Simon …, 2011 - projecteuclid.org
… The property (gw) is a variant of generalized Weyls theorem, for a bounded operator T acting
on a Banach space. In this note we consider the preservation of property (gw) under a finite …

The GW approximation: content, successes and limitations

L Reining - Wiley Interdisciplinary Reviews: Computational …, 2018 - Wiley Online Library
… In this review, we concentrate on electronic properties of atoms, molecules, nanostructures,
or extended materials. We specify the expressions for zero temperature and a static external …

All-electron projector-augmented-wave approximation: Application to the electronic properties of semiconductors

B Arnaud, M Alouani - Physical Review B, 2000 - APS
… The so-called GW approximation GWA based on an all-electron full-potential projector-…
different schemes produced quasiparticle energies that differ on average by less than 0.1 eV for Si…

Self-consistent : All-electron implementation with localized basis functions

F Caruso, P Rinke, X Ren, A Rubio, M Scheffler - Physical Review B …, 2013 - APS
… of the self-consistent GW (sc-GW) approach—ie, based on the solution of the Dyson equation…
From this study we conclude that sc-GW systematically improves the spectral properties of …

Self-consistent calculations for semiconductors and insulators

M Shishkin, G Kresse - Physical Review B—Condensed Matter and Materials …, 2007 - APS
… We propose that an inaccurate description of the static dielectric properties of these … of the
large errors for the d-band position even on the GW level see below. The GGA calculations are …

Fully self-consistent GW calculations for atoms and molecules

A Stan, NE Dahlen, R Van Leeuwen - Europhysics Letters, 2006 - iopscience.iop.org
… of self-consistency on the total energies and ionization potentials. We find GW to produce …
fact worsen the spectral properties, though calculations on silicon and germanium crystals …

Levels of self-consistency in the GW approximation

A Stan, NE Dahlen, R Van Leeuwen - The Journal of chemical physics, 2009 - pubs.aip.org
on atoms and diatomic molecules at different levels of self-consistency and investigate the
effects of self-consistency on … We start by investigating the number conservation property of …

Quasiparticle Self-Consistent GW Method for the Spectral Properties of Complex Materials

F Bruneval, M Gatti - … Principles Approaches to Spectroscopic Properties …, 2014 - Springer
… In this chapter we will focus on the approaches that have been developed in the last decade
… for GW calculations in real materials. We will focus on the calculation of spectral properties (…

Fully self-consistent GW calculations for molecules

C Rostgaard, KW Jacobsen, KS Thygesen - Physical Review B—Condensed …, 2010 - APS
… While properties derived from total energies are accurately predicted by DFT, it is well … Here
we report on fully self-consistent GW and singleshot G0W0 calculations of QP energies for a …