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Group IB metal halides (CuX and AgX, X=Cl, Br and I) are widely used in optoelectronic devices and photochemical catalysis due to their appropriate optical and electronic properties. First-principles calculations have confronted…

Materials Science · Physics 2019-11-27 Min-Ye Zhang , Hong Jiang

This study examines how the GW approximation, one of the techniques covered by Green's functions and on many-body approximations (GFMBA), fares compared to the treatment of the Hubbard model solved using an exact diagonalization (ED)…

Strongly Correlated Electrons · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

Few-electron systems confined in two-dimensional parabolic quantum dots at high magnetic fields are studied by the Hartree-Fock (HF) and exact diagonalization methods. A generalized multicenter Gaussian basis is proposed in the HF method. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Szafran , S. Bednarek , J. Adamowski , M. B. Tavernier , E. Anisimovas , F. M. Peeters

We present an efficient computational approach to perform real-space electronic structure calculations using an adaptive higher-order finite-element discretization of Kohn-Sham density-functional theory (DFT). To this end, we develop an…

Computational Physics · Physics 2015-06-05 Phani Motamarri , Michael R Nowak , Kenneth Leiter , Jaroslaw Knap , Vikram Gavini

A new method is presented for obtaining all-electron results from a pseudopotential calculation. This is achieved by carrying out a localised calculation in the region of an atomic nucleus using the embedding potential method of Inglesfield…

Materials Science · Physics 2015-05-14 J. R. Trail , D. M. Bird

We present a general analytical formalism to determine the energy spectrum of a quantum particle in a cubic lattice subject to translationally invariant commensurate magnetic fluxes and in the presence of a general space-independent…

Quantum Gases · Physics 2017-11-09 M. Burrello , I. C. Fulga , L. Lepori , A. Trombettoni

Efficient methods for describing non abelian charges in worldline approaches to QFT are useful to simplify calculations and address structural properties, as for example color/kinematics relations. Here we analyze in detail a method for…

High Energy Physics - Theory · Physics 2015-06-17 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

Recently, the $GW$ approach has emerged as a valuable tool for computing deep core-level binding energies as measured in X-ray photoemission spectroscopy. However, $GW$ fails to accurately predict shake-up satellite features, which arise…

Chemical Physics · Physics 2024-12-24 Jannis Kockläuner , Dorothea Golze

For the recent GW100 test set of molecular ionization energies, we present a comprehensive assessment of different GW methodologies: fully self-consistent GW (scGW), quasiparticle self-consistent GW (qsGW), partially self-consistent GW0…

Chemical Physics · Physics 2018-05-17 Fabio Caruso , Matthias Dauth , Michiel J. van Setten , Patrick Rinke

We explains the shifted COCG method which can solve a series of the linear equations generated by numbers of scaler shifts, without time consuming matrix-vector operations, except at the only one reference energy. This is a family of the CG…

Strongly Correlated Electrons · Physics 2008-02-21 Susumu Yamamoto , Tomohiro Sogabe , Takeo Hoshi , Shao-Liang Zhang , Takeo Fujiwara

In recent years, the $GW$ method has emerged as a reliable tool for computing core-level binding energies. The contour deformation (CD) technique has been established as an efficient, scalable, and numerically stable approach to compute the…

Computational Physics · Physics 2023-10-23 Ramón L. Panadés-Barrueta , Dorothea Golze

We describe an implementation of Hedin's GW approximation for molecules and clusters, the complexity of which scales as O(N^3) with the number of atoms. Our method is guided by two strategies: i) to respect the locality of the underlying…

Other Condensed Matter · Physics 2015-05-27 Dietrich Foerster , Peter Koval , Daniel Sánchez-Portal

This contribution investigates the connection between isogeometric analysis and integral equation methods for full-wave electromagnetic problems up to the low-frequency limit. The proposed spline-based integral equation method allows for an…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Maximilian Nolte , Riccardo Torchio , Sebastian Schöps , Jürgen Dölz , Felix Wolf , Albert E. Ruehli

We formulate a three-dimensional semi-classical model to address triple and double ionization in three-electron atoms driven by intense infrared laser pulses. During time propagation, our model fully accounts for the Coulomb singularities,…

Atomic Physics · Physics 2022-04-20 M. B. Peters , G. P. Katsoulis , A. Emmanouilidou

We derive formulas for the Coulomb matrix within the full-potential linearized augmented-plane-wave (FLAPW) method. The Coulomb matrix is a central ingredient in implementations of many-body perturbation theory, such as the Hartree-Fock and…

Materials Science · Physics 2010-03-01 Christoph Friedrich , Arno Schindlmayr , Stefan Bluegel

The performance of many-body perturbation theory for calculating ground-state properties is investigated. We present fully numerical results for the electron gas in three and two dimensions in the framework of the GW approximation. The…

Condensed Matter · Physics 2009-10-31 P. Garcia-Gonzalez , R. W. Godby

We present a 48-element programmable phase plate for coherent electron waves produced by a combination of photolithography and focused ion beam. This brings the highly successful concept of wavefront shaping from light optics into the realm…

Instrumentation and Detectors · Physics 2023-12-06 Chu-Ping Yu , Francisco Vega Ibáñez , Armand Béché , Johan Verbeeck

Complex Gaussian basis sets are optimized to accurately represent continuum radial wavefunctions over the whole space. First, attention is put on the technical ability of the optimization method to get more flexible series of Gaussian…

Chemical Physics · Physics 2025-11-04 Stéphanie Laure Egome Nana , Arnaud Leclerc , Lorenzo Ugo Ancarani

In this paper, we present an energy-preserving exponentially integrable numerical method for stochastic wave equation with cubic nonlinearity and additive noise. We first apply the spectral Galerkin method to discretizing the original…

Numerical Analysis · Mathematics 2021-04-14 Jianbo Cui , Jialin Hong , Lihai Ji , Liying Sun

A new repeated-slab calculation method is developed to simulate the electronic structures of charged surfaces by arranging density-variable charged sheets in vacuum regions to realize a constant potential on the charged sheets and maintain…

Materials Science · Physics 2007-05-23 Seiji Kajita , Takashi Nakayama , Maki Kawai
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