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Organic electronics is a rapidly developing technology. Typically, the molecules involved in organic electronics are made up of hundreds of atoms, prohibiting a theoretical description by wavefunction-based ab-initio methods.…

Materials Science · Physics 2011-05-18 Peter Koval , Dietrich Foerster , Daniel Sanchez-Portal

Over the years, Hedin's $GW$ self-energy has been proven to be a rather accurate and simple approximation to evaluate electronic quasiparticle energies in solids and in molecules. Attempts to improve over the simple $GW$ approximation, the…

Computational Physics · Physics 2024-01-24 Fabien Bruneval , Arno Förster

Hedin's equations provide an elegant route to compute the exact one-body Green's function (or propagator) via the self-consistent iteration of a set of non-linear equations. Its first-order approximation, known as $GW$, corresponds to a…

Chemical Physics · Physics 2025-04-15 Antoine Marie , Pina Romaniello , Pierre-François Loos

Wave-function methods have offered a robust, systematically improvable means to study ground-state properties in quantum many-body systems. Theories like coupled cluster and their derivatives provide highly accurate approximations to the…

Strongly Correlated Electrons · Physics 2023-05-10 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

Hedin's $GW$ approximation to the electronic self-energy has been impressively successful to calculate quasiparticle energies, such as ionization potentials, electron affinities, or electronic band structures. The success of this fairly…

Chemical Physics · Physics 2024-10-31 Arno Förster , Fabien Bruneval

An end-to-end strategy for hybrid quantum-classical computations of Green's functions in many-body systems is presented and applied to the pairing model. The scheme makes explicit use of the spectral representation of the Green's function,…

Nuclear Theory · Physics 2026-05-01 Samuel Aychet-Claisse , Denis Lacroix , Vittorio Somà , Jing Zhang

We extend previous work on alkali halides by calculations for the heavy-atom species RbF, RbCl, LiBr, NaBr, KBr, RbBr, LiI, NaI, KI, and RbI. Relativistic effects are included by means of energy-consistent pseudopotentials, correlations are…

Materials Science · Physics 2009-10-31 Klaus Doll , Hermann Stoll

The fully self-consistent GW approximation is an established method for electronic structure calculations. Its most serious deficiency is known to be an incorrect prediction of the dielectric response. In this work we examine the GW…

Strongly Correlated Electrons · Physics 2017-05-24 Kris Van Houcke , Igor S. Tupitsyn , Andrey S. Mishchenko , Nikolay V. Prokof'ev

Adsorbed gases within, or outside of, carbon nanotubes may be analyzed with an approximate model of adsorption on lattice sites situated on a cylindrical surface. Using this model, the ground state energies of alternative lattice structures…

Soft Condensed Matter · Physics 2016-08-31 M. Mercedes Calbi , Silvina M. Gatica , Mary J. Bojan , Milton W. Cole

The GW approximation is widely used for reliable and accurate modeling of single-particle excitations. It also serves as a starting point for many theoretical methods, such as its use in the Bethe-Salpeter equation (BSE) and dynamical…

Computational Physics · Physics 2024-03-25 Weiwei Gao , Zhao Tang , Jijun Zhao , James R. Chelikowsky

A new cumulant-based $GW$ approximation for the retarded one-particle Green's function is proposed, motivated by an exact relation between the improper Dyson self-energy and the cumulant generating function. Qualitative aspects of this…

Strongly Correlated Electrons · Physics 2016-09-21 Matthew Z. Mayers , Mark S. Hybertsen , David R. Reichman

We present a detailed account of the GW space-time method. The method increases the size of systems whose electronic structure can be studied with a computational implementation of Hedin's GW approximation. At the heart of the method is a…

Condensed Matter · Physics 2009-10-31 M. M. Rieger , L. Steinbeck , I. D. White , H. N. Rojas , R. W. Godby

We calculate single-particle excitation energies for a series of 33 molecules using fully selfconsistent GW, one-shot G$_0$W$_0$, Hartree-Fock (HF), and hybrid density functional theory (DFT). All calculations are performed within the…

Materials Science · Physics 2015-05-14 C. Rostgaard , K. W. Jacobsen , K. S. Thygesen

We have developed a new type of self-consistent scheme within the $GW$ approximation, which we call quasiparticle self-consistent $GW$ (QS$GW$). We have shown that QS$GW$ rather well describes energy bands for a wide-range of materials,…

Materials Science · Physics 2007-10-05 Takao Kotani , Mark van Schilfgaarde , Sergey V. Faleev

Self consistent GW approach (scGW) has been applied to calculate the ground state properties (equilibrium Wigner-Seitz radius $S_{WZ}$ and bulk modulus $B$) of 3d transition metals Sc, Ti, V, Fe, Co, Ni, and Cu. The approach systematically…

Strongly Correlated Electrons · Physics 2017-10-31 Andrey L. Kutepov

We study four dimensional SU(2) lattice gauge theory in the Hamiltonian formalism by Green's Function Monte Carlo methods. A trial ground state wave function is introduced to improve the configuration sampling and we discuss the interplay…

High Energy Physics - Lattice · Physics 2009-10-31 Matteo Beccaria

We use path-\-integral methods to derive the ground state wave functions of a number of two-\-dimensional fermion field theories and related systems in one-\-dimensional many body physics. We derive the exact wave function for the…

High Energy Physics - Theory · Physics 2010-11-01 Eduardo Fradkin , Enrique Moreno , Fidel A. Schaposnik

We present GW many-body results for ground-state properties of two simple but very distinct families of inhomogenous systems in which traditional implementations of density-functional theory (DFT) fail drastically. The GW approach gives…

Materials Science · Physics 2009-11-07 P. Garcia-Gonzalez , R. W. Godby

Hedin's scheme is solved with the inclusion of the vertex function ($GW\Gamma$) for a set of small molecules. The computational scheme allows for the consistent inclusion of the vertex both at the polarizability level and in the…

Materials Science · Physics 2017-08-17 Emanuele Maggio , Georg Kresse

An ab initio Wannier-function-based approach to electronic ground-state calculations for crystalline solids is outlined. In the framework of the linear combination of atomic orbitals method the infinite character of the solid is rigorously…

Condensed Matter · Physics 2009-10-31 Martin Albrecht , Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll