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Quasiparticle spectra of potentially half-metallic Co2MnSi and Co2FeSi Heusler compounds have been calculated within the one-shot GW approximation in an all-electron framework without adjustable parameters. For Co2FeSi the many-body…

Materials Science · Physics 2013-01-04 Markus Meinert , Christoph Friedrich , Günter Reiss , Stefan Blügel

We combine the single site dynamical mean field theory (DMFT) with the non-local GW method. This is done fully self-consistently and we apply our formalism to a one-band Hubbard model. Eventually at self-consistency the full self-energy and…

Strongly Correlated Electrons · Physics 2007-05-23 K. Karlsson

The good performance of the GW approximation for band-structure calculations in solids was long taken as a sign that the sum of self-energy diagrams is converged and that all omitted terms are small. However, with modern computational…

Materials Science · Physics 2007-05-23 Arno Schindlmayr

We present a new, all-electron implementation of the GW approximation and apply it to wurtzite ZnO. Eigenfunctions computed in the local-density approximation (LDA) by the full-potential linearized augmented-plane-wave (LAPW) or the…

Materials Science · Physics 2009-11-07 Manabu Usuda , Noriaki Hamada , Takao Kotani , Mark van Schilfgaarde

The dielectric response function and its inverse are crucial physical quantities in materials science. We propose an accurate and efficient strategy to invert the dielectric function matrix. The GW approximation, a powerful approach to…

Numerical Analysis · Mathematics 2024-06-13 Zhengbang Zhou , Huanhuan Ma , Wentiao Wu , Weiguo Gao , Jinlong Yang , Meiyue Shao , Wei Hu

We present the numerical methods and GPU-accelerated implementation underlying a Total Lagrangian finite element framework for finite-deformation flexible multibody dynamics, introduced in the companion paper [1]. The framework supports…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Zhenhao Zhou , Ruochun Zhang , Ganesh Arivoli , Dan Negrut

This paper introduces a numerical scheme for time harmonic Maxwell's equations by using weak Galerkin (WG) finite element methods. The WG finite element method is based on two operators: discrete weak curl and discrete weak gradient, with…

Numerical Analysis · Mathematics 2013-12-10 Lin Mu , Junping Wang , Xiu Ye , Shangyou Zhang

In a recent Letter [T. Dornheim et al., Phys. Rev. Lett. 121, 255001 (2018)] we have presented the first ab initio results for the dynamic structure factor $S(\mathbf{q},\omega)$ of the uniform electron gas for conditions ranging from the…

Plasma Physics · Physics 2019-06-19 Simon Groth , Tobias Dornheim , Jan Vorberger

We present an approach for GW calculations of quasiparticle energies with quasi-quadratic scaling by approximating high-energy contributions to the Green's function in its Lehmann representation with effective stochastic vectors. The method…

Materials Science · Physics 2023-12-07 Aaron R. Altman , Sudipta Kundu , Felipe H. da Jornada

The many-body perturbation theory within the $GW$ approximation is a widely used method for describing the electronic band structures in real materials. Its application to large-scale systems is, however, impeded by its high computational…

Materials Science · Physics 2026-05-22 Min-Ye Zhang , Peize Lin , Rong Shi , Xinguo Ren

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in the warm dense matter regime, e.g. dense plasmas and laser excited solids. Also, the quality of density functional theory calculations…

Strongly Correlated Electrons · Physics 2016-02-10 S. Groth , T. Schoof , T. Dornheim , M. Bonitz

Quantum simulations of metal surfaces are critical for catalytic innovation. Yet existing methods face a cost-accuracy dilemma: density functional theory is efficient but system-dependent in accuracy, while wavefunction-based theories are…

Chemical Physics · Physics 2026-04-10 Changsu Cao , Hung Q. Pham , Zhen Guo , Yutan Zhang , Zigeng Huang , Xuelan Wen , Ji Chen , Dingshun Lv

We expand on a recently introduced alternate framework for $GW$ simulation of charged excitations [Scott et. al., J. Chem. Phys., 158, 124102 (2023)], based around the conservation of directly computed spectral moments of the GW…

Chemical Physics · Physics 2025-08-08 Oliver J. Backhouse , Marcus K. Allen , Charles C. J. Scott , George H. Booth

We present a machine learning (ML) framework that predicts $G_0W_0$ quasiparticle energies across molecular dynamics (MD) trajectories with high accuracy and efficiency. Using only DFT-derived mean-field eigenvalues and exchange-correlation…

Materials Science · Physics 2025-05-06 Ragab. A. Abdelghany , Chih-En Hsu , Hung-Chung Hsueh , Yuan-Hong Tsai , Ming-Chiang Chung

Electron-phonon interactions are of great importance to a variety of physical phenomena, and their accurate description is an important goal for first-principles calculations. Isolated examples of materials and molecular systems have…

Materials Science · Physics 2024-03-14 Antonios M. Alvertis , David B. Williams-Young , Fabien Bruneval , Jeffrey B. Neaton

With the aim of identifying universal trends, we compare fully self-consistent electronic spectra and total energies obtained from the GW approximation with those from an extended GWGamma scheme that includes a nontrivial vertex function…

Materials Science · Physics 2007-05-23 Arno Schindlmayr , Thomas J. Pollehn , R. W. Godby

This paper introduces an auto-stabilized weak Galerkin (WG) finite element method for biharmonic equations with built-in stabilizers. Unlike existing stabilizer-free WG methods limited to convex elements in finite element partitions, our…

Numerical Analysis · Mathematics 2024-09-11 Chunmei Wang

We present an approach to calculate the optical absorption spectra that combines the quasiparticle self-consistent GW method [Phys. Rev. B, 76 165106 (2007)] for the electronic structure with the solution of the ladder approximation to the…

Materials Science · Physics 2018-03-21 Brian Cunningham , Pooya Azarhoosh , Dimitar Pashov , Myrta Gruening , Mark van Schilfgaarde

This paper introduces a new weak Galerkin (WG) finite element method for second order elliptic equations on polytopal meshes. This method, called WG-FEM, is designed by using a discrete weak gradient operator applied to discontinuous…

Numerical Analysis · Mathematics 2012-08-20 Lin Mu , Junping Wang , Xiu Ye

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
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