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The GW approximation within many-body perturbation theory is the state of the art for computing quasiparticle energies in solids. Typically, Kohn-Sham (KS) eigenvalues and eigenfunctions, obtained from a Density Functional Theory (DFT)…

We model a Kohn-Sham potential with a discontinuity at integer particle numbers derived from the GLLB approximation of Gritsenko et al. We evaluate the Kohn-Sham gap and the discontinuity to obtain the quasiparticle gap. This allows us to…

Materials Science · Physics 2013-05-29 M. Kuisma , J. Ojanen , J. Enkovaara , T. T. Rantala

We present a plane wave implementation of the G0W0 approximation within the projector augmented wave method code GPAW. The computed band gaps of ten bulk semiconductors and insulators deviate on average by 0.2 eV (~ 5 %) from the…

Materials Science · Physics 2014-01-10 Falco Hüser , Thomas Olsen , Kristian S. Thygesen

Employing the $G_0W_0$ approximation of Hedin's $GW$ approach one can obtain quasi-particle energies of extended systems and molecules with good accuracy. However, for many materials, semi-local exchange-correlation functionals are…

Materials Science · Physics 2016-12-21 Ronaldo Rodrigues Pela , Ute Werner , Dmitrii Nabok , Claudia Draxl

Quasiparticle energies and fundamental band gaps in particular are critical properties of molecules and materials. It was rigorously established that the generalized Kohn-Sham HOMO and LUMO orbital energies are the chemical potentials of…

Chemical Physics · Physics 2019-03-06 Yuncai Mei , Chen Li , Neil Qiang Su , Weitao Yang

The fundamental energy gap of a periodic solid distinguishes insulators from metals and characterizes low-energy single-electron excitations. But the gap in the band-structure of the exact multiplicative Kohn-Sham (KS) potential…

Unlike the local density approximation (LDA) and the generalized gradient approximation (GGA), calculations with meta-generalized gradient approximations (meta-GGA) are usually done according to the generalized Kohn-Sham (gKS) formalism.…

Materials Science · Physics 2016-06-01 Zeng-hui Yang , Haowei Peng , Jianwei Sun , John P. Perdew

We discuss the implementation of quasiparticle calculations for point defects on semiconductor surfaces and, as a specific example, present an ab initio study of the electronic structure of the As vacancy in the +1 charge state on the…

Materials Science · Physics 2007-05-23 Magnus Hedstrom , Arno Schindlmayr , Matthias Scheffler

The band gaps, longitudinal and transverse effective masses, and deformation potentials of ScN in the rock-salt structure have been calculated employing G0W0-quasiparticle calculations using exact-exchange Kohn-Sham density functional…

Materials Science · Physics 2007-05-23 Abdallah Qteish , Patrick Rinke , Matthias Scheffler , Joerg Neugebauer

The dependence of ab initio many-body perturbation theory within the $GW$ approximation on the eigensystem used in calculating quasiparticle corrections limits this method's predictive power. Here, we investigate the accuracy of the…

We present an implementation of the optimised effective potential (OEP) scheme for the exact-exchange (EXX) and random phase approximation (RPA) energy functionals and apply these methods to a range of bulk materials. We calculate the…

Materials Science · Physics 2014-05-16 Jiří Klimeš , Georg Kresse

Following Hollins et al. [J. Phys.: Condens. Matter 29, 04LT01 (2017)], we invert the electronic ground state densities for various semiconducting and insulating solids calculated using several density functional approximations within the…

Chemical Physics · Physics 2025-11-05 Visagan Ravindran , Nikitas I. Gidopoulos , Stewart J. Clark

We show that the results of photoemission and inverse photoemission experiments on bulk copper can be quantitatively described within band-structure theory, with no evidence of effects beyond the single-quasiparticle approximation. The well…

Strongly Correlated Electrons · Physics 2009-11-07 Andrea Marini , Giovanni Onida , Rodolfo Del Sole

Kohn-Sham (KS) eigenvalues are routinely compared with angle-resolved photoemission (ARPES) and used as input for many-body methods, yet density functional theory (DFT) assigns them no physical meaning. For alkali and alkaline-earth metals,…

Materials Science · Physics 2026-04-29 Xiansheng Cai , Han Wang , Kun Chen

Transition-metal-based Heusler semiconductors are promising materials for a variety of applications ranging from spintronics to thermoelectricity. Employing the $GW$ approximation within the framework of the FLAPW method, we study the…

Materials Science · Physics 2016-06-01 M. Tas , E. Sasioglu , I. Galanakis , C. Friedrich , S. Blugel

We have investigated the group 14 nitrides (M$_3$N$_4$) in the spinel phase ($\gamma$-M$_3$N$_4$ with M= C, Si, Ge and Sn) and $\beta$ phase ($\beta$-M$_3$N$_4$ with M= Si, Ge and Sn) using density functional theory with the local density…

Materials Science · Physics 2014-08-01 Iek-Heng Chu , Anton Kozhenikov , Thomas C. Schulthess , Hai-Ping Cheng

Using quasiparticle self-consistent $GW$ calculations, we re-examined the electronic structure of Sr$_2$RuO$_4$ and SrRuO$_3$. Our calculations show that the correlation effects beyond the conventional LDA (local density approximation) and…

Strongly Correlated Electrons · Physics 2016-02-16 Hyeonsang Ryee , Seung Woo Jang , Hiori Kino , Takao Kotani , Myung Joon Han

We analyze a data set comprising 370 GW band structures composed of 61716 quasiparticle (QP) energies of two-dimensional (2D) materials spanning 14 crystal structures and 52 elements. The data results from PAW plane wave based one-shot…

Materials Science · Physics 2021-01-05 Asbjørn Rasmussen , Thorsten Deilmann , Kristian S. Thygesen

Quasiparticle band structures are fundamental for understanding strongly correlated electron systems. While solving these structures accurately on classical computers is challenging, quantum computing offers a promising alternative.…

Quantum Physics · Physics 2025-11-10 Takahiro Ohgoe , Hokuto Iwakiri , Kazuhide Ichikawa , Sho Koh , Masaya Kohda

It is necessary to employ quasi-particle calculations to correct band gap problems in LDA. As an expedient way for the reliable but massive GWA, Quasi-Particle-LDA (QPLDA) is proposed by several authors, where the total computational cost…

Computational Physics · Physics 2012-10-23 Akihito Kikuchi
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