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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

A linked cluster expansion suitable for the treatment of ground-state properties of complex nuclei, as well as of various particle-nucleus scattering processes, has been used to calculate the ground-state energy, density and momentum…

Nuclear Theory · Physics 2009-11-11 M. Alvioli , C. Ciofi degli Atti , H. Morita

Finding an accurate ab initio approach for calculating the electronic properties of transition metal oxides has been a problem for several decades. In this paper, we investigate the electronic structure of the transition metal monoxides…

Strongly Correlated Electrons · Physics 2015-06-23 Suvadip Das , John E. Coulter , Efstratios Manousakis

We report on a recently proposed approach, inspired by quantum informationtheory, for calculating low-energy nuclear structure in the framework of the configuration-interaction shell-model. Empirical evidence has demonstrated that the…

Nuclear Theory · Physics 2025-04-02 Calvin W. Johnson , Oliver C. Gorton

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

The physical and chemical properties of metal nanoparticles differ significantly from those of free metal atoms as well as from the properties of bulk metals, and therefore, they may be viewed as a transition regime between the two physical…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Horacio G. Rotstein , Amy Novick-Cohen , Rina Tannenbaum

By recasting the non-linear frequency-dependent $GW$ quasiparticle equation into a linear eigenvalue problem, we explain the appearance of multiple solutions and unphysical discontinuities in various physical quantities computed within the…

Chemical Physics · Physics 2022-06-16 Enzo Monino , Pierre-François Loos

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

We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dynamics associated to quantum systems in [27], naturally…

Mathematical Physics · Physics 2025-07-11 Eric B. Roon , Robert Sims

Novel results for the self-consistent single-particle spectral function and self-energy are presented for non-degenerate one-component Coulomb systems at various densities and temperatures. The GW^0-method for the dynamical self-energy is…

Plasma Physics · Physics 2009-11-13 Carsten Fortmann

A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic boundary conditions is presented. The system consists of the…

Numerical Analysis · Mathematics 2026-02-05 Aaron Brunk , Ansgar Jüngel , Maria Lukáčová-Medvid'ová

Accurate and efficient predictions of the quasiparticle properties of complex materials remain a major challenge due to the convergence issue and the unfavorable scaling of the computational cost with respect to the system size.…

Materials Science · Physics 2020-07-14 Weiyi Xia , Weiwei Gao , Gabriel Lopez-Candales , Yabei Wu , Wei Ren , Wenqing Zhang , Peihong Zhang

Using the recently developed version of the GW method employing the one-site approximation and self-consistent quasiparticle basis set we calculated the electronic structure of 3d and 4d transition metals at experimental atomic volumes. The…

Strongly Correlated Electrons · Physics 2007-08-16 K. D. Belashchenko , V. P. Antropov , N. E. Zein

We propose a novel approach to quasiparticle GW calculations which does not require the computation of unoccupied electronic states. In our approach the screened Coulomb interaction is evaluated by solving self-consistent linear-response…

Materials Science · Physics 2015-05-14 Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

Two self-consistent schemes involving Hedin's $GW$ approximation are studied for a set of sixteen different atoms and small molecules. We compare results from the fully self-consistent $GW$ approximation (SC$GW$) and the quasi-particle…

Materials Science · Physics 2015-06-19 Peter Koval , Dietrich Foerster , Daniel Sánchez-Portal

The finite temperature dynamical response function including the dynamical local field is derived within a quasiparticle picture for interacting one-, two- and three dimensional Fermi systems. The correlations are assumed to be given by a…

Strongly Correlated Electrons · Physics 2009-11-07 Klaus Morawetz

The semi-relativistic approach to electron and neutrino quasielastic scattering from nuclei is extended to include final-state interactions. Starting with the usual non-relativistic continuum shell model, the problem is relativized by using…

Nuclear Theory · Physics 2008-11-26 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , J. M. Udias

We determine the structure and melting behavior of supported metallic clusters using an ab initio density-functional-based treatment of intracluster interactions and an approximate treatment of the surface as an idealized smooth plane…

Mesoscale and Nanoscale Physics · Physics 2012-10-02 S. A. Blundell , Soumyajyoti Haldar , D. G. Kanhere

Electron correlation in finite and extended systems is often described in an effective single-particle framework within the $GW$ approximation. Here, we use the statically screened second-order exchange contribution to the self-energy…

Chemical Physics · Physics 2022-03-18 Arno Förster , Lucas Visscher

We employ the density matrix renormalization group (DMRG) and the wave function factorization method for the numerical solution of large scale nuclear structure problems. The DMRG exhibits an improved convergence for problems with realistic…

Nuclear Theory · Physics 2007-05-23 T. Papenbrock , D. J. Dean
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