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In ab initio pseudopotential calculations within density-functional theory the nonlinear exchange-correlation interaction between valence and core electrons is often treated linearly through the pseudopotential. We discuss the accuracy and…

Materials Science · Physics 2009-10-30 Martin Fuchs , Michel Bockstedte , Eckhard Pehlke , Matthias Scheffler

In the framework of density-functional theory, several popular density functionals for exchange and correlation have been constructed to satisfy a local form of the Lieb-Oxford bound. In its original global expression, the bound represents…

Other Condensed Matter · Physics 2012-05-31 J. G. Vilhena , E. Rasanen , L. Lehtovaara , M. A. L. Marques

Warm dense matter is a highly active research area both at the frontier and interface of material science and plasma physics. We assess the performance of commonly used exchange-correlation (XC) approximation (LDA, PBE, PBEsol, and AM05) in…

Plasma Physics · Physics 2022-01-25 Zhandos Moldabekov , Tobias Dornheim , Jan Vorberger , Attila Cangi

A recently developed quasi two-dimensional exact-exchange formalism within the framework of Density Functional Theory has been applied to a strongly inhomogeneous interacting electron gas, and the results were compared with state-of-the-art…

Condensed Matter · Physics 2009-11-07 S. Rigamonti , F. A. Reboredo , C. R. Proetto

In this work we explore the potential of a new data-driven approach to the design of exchange-correlation (XC) functionals. The approach, inspired by convolutional filters in computer vision and surrogate functions from optimization,…

Chemical Physics · Physics 2019-06-19 Xiangyun Lei , Andrew J. Medford

A systematic approach for the construction of a density functional for van der Waals interactions that also accounts for saturation effects is described, i.e. one that is applicable at short distances. A very efficient method to calculate…

Condensed Matter · Physics 2009-10-31 Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth , Maxime Dion

We consider electronic exchange and correlation effects in density-functional calculations of two-dimensional systems. Starting from wave function calculations of total energies and electron densities of inhomogeneous model systems, we…

Mesoscale and Nanoscale Physics · Physics 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju

We devise a scheme for converting an existing exchange functional into its range-separated hybrid variant. The underlying exchange hole of the Becke-Roussel type has the exact second-order expansion in the interelectron distance. The…

Chemical Physics · Physics 2016-09-19 Marcin Modrzejewski , Michal Hapka , Grzegorz Chalasinski , Malgorzata M. Szczesniak

We propose a range-separated hybrid exchange-correlation functional to calculate solid-state material properties. The functional mixes Hartree-Fock exchange with the semilocal exchange of the meta-generalized gradient approximation…

Materials Science · Physics 2025-02-27 Subrata Jana , Abhishek Bhattacharjee , Suman Mahakal , Szymon Smiga , Prasanjit Samal

Motivated by the considerable importance of material properties in modern condensed matter physics research, and using techniques of the $N_{e}$ -electron systems in terms of the electron density $n_{\sigma e}\left( r\right) $ needed to…

Materials Science · Physics 2024-07-19 A. Belhaj , S. E. Ennadifi

The electronic structure of noble-gas solids is calculated within density functional theory's exact-exchange method (EXX) and compared with the results from the local-density approximation (LDA). It is shown that the EXX method does not…

Materials Science · Physics 2007-05-23 R. J. Magyar , A. Fleszar , E. K. U. Gross

The semilocal meta generalized gradient approximation (MGGA) for the exchange-correlation functional of Kohn-Sham (KS) density functional theory can yield accurate ground-state energies simultaneously for atoms, molecules, surfaces, and…

Chemical Physics · Physics 2012-05-04 Jianwei Sun , Bing Xiao , Adrienn Ruzsinszky

In this article, we investigate the role of the self-interaction error in the simulation of collisions using time-dependent density functional theory (TDDFT) and Ehrenfest dynamics. We compare many different approximations of the exchange…

Chemical Physics · Physics 2017-05-03 Edwin E. Quashie , Bidhan C. Saha , Xavier Andrade , Alfredo A. Correa

It is shown that the DFT exchange and correlation functionals satisfy an expression that couples exchange and correlation functionals and functional derivatives evaluated at three different densities and for two particle numbers. This…

Materials Science · Physics 2015-05-30 Daniel P. Joubert

We assess the Tognetti-Cortona-Adamo (TCA) generalized gradient approximation correlation functional [J. Chem. Phys. 128:034101 (2008)] for a variety of electronic systems. We find that, even if the TCA functional is not exact for the…

Chemical Physics · Physics 2015-10-07 E. Fabiano , L. A. Constantin , A. Terentjevs , F. Della Sala , P. Cortona

Using non-equilibrium Green's functions combined with many-body perturbation theory, we have calculated steady-state densities and currents through short interacting chains subject to a finite electric bias. By using a steady-state…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Daniel Karlsson , Claudio Verdozzi

Rare-earth oxides (REOs) are an important class of materials owing to their unique properties, including high ionic conductivities, large dielectric constants, and elevated melting temperatures, making them relevant to several technological…

The role of the exchange-correlation potential and the exchange-correlation kernel in the calculation of excitation energues from time-dependent density functional theory is studied. Excitation energies of the He and Be atoms are…

Materials Science · Physics 2007-05-23 Martin Petersilka , E. K. U. Gross , Kieron Burke

We propose a practical approximation to the exchange-correlation functional of (time-dependent) density functional theory for many-electron systems coupled to photons. The (time non-local) optimized effective potential (OEP) equation for…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Camilla Pellegrini , Johannes Flick , Ilya V. Tokatly , Heiko Appel , Angel Rubio

We explore the simplification of widely used meta-generalized-gradient approximation (mGGA) exchange-correlation functionals to the Laplacian level of refinement by use of approximate kinetic energy density functionals (KEDFs). Such…

Chemical Physics · Physics 2017-12-01 Daniel Mejia-Rodriguez , S. B. Trickey