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Related papers: Kohn-Sham Exchange Potential for a Metallic Surfac…

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We calculate the exact Kohn-Sham (KS) scalar and vector potentials that reproduce, within current-density functional theory, the steady-state density and current density corresponding to an electron quasiparticle added to the ground state…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 J. D. Ramsden , R. W. Godby

Density Functional Theory's Kohn-Sham (KS) potential emerges as the minimizing effective potential in an unconstrained variational scheme that does not involve fixing the unknown single-electron density. The physical content behind the…

Other Condensed Matter · Physics 2007-05-23 N. I. Gidopoulos

Density functional theory is the workhorse of modern electronic structure calculations, with wide-ranging applications in chemistry, physics, materials science, and machine learning. At its heart lies the exchange-correlation functional, a…

Chemical Physics · Physics 2026-02-20 Fabien Tran , Susi Lehtola , Stefano Pittalis , Miguel A. L. Marques

The reconstruction of the exchange-correlation potential from accurate ab initio electron densities can provide insights into the limitations of the currently available approximate functionals and provide guidance for devising improved…

Strongly Correlated Electrons · Physics 2013-02-05 Katharina Boguslawski , Christoph R. Jacob , Markus Reiher

Over the past few years it has been pointed out that direct inversion of accurate but approximate ground state densities leads to Kohn-Sham exchange-correlation (xc) potentials that can differ significantly from the exact xc potential of a…

Atomic Physics · Physics 2020-08-26 Ashish Kumar , Rabeet Singh , Manoj K. Harbola

The response part of the exchange-correlation potential of Kohn-Sham density functional theory plays a very important role, for example for the calculation of accurate band gaps and excitation energies. Here we analyze this part of the…

Chemical Physics · Physics 2018-08-29 Sara Giarrusso , Paola Gori-Giorgi , Klaas J. H. Giesbertz

The dissociation of molecules, even the most simple hydrogen molecule, cannot be described accurately within density functional theory because none of the currently available functionals accounts for strong on-site correlation. This problem…

Strongly Correlated Electrons · Physics 2011-01-14 N. Helbig , I. V. Tokatly , A. Rubio

We introduce a new functional for simulating ground-state and time-dependent electronic systems within density-functional theory. The functional combines an expression for the exact Kohn-Sham (KS) potential in the limit of complete electron…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 M. J. P. Hodgson , J. D. Ramsden , T. R. Durrant , R. W. Godby

We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small…

Chemical Physics · Physics 2012-11-14 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

The accurate prediction of electronic response properties of extended molecular systems has been a challenge for conventional, explicit density functionals. We demonstrate that a self-interaction correction implemented rigorously within…

Materials Science · Physics 2009-11-13 T. Körzdörfer , M. Mundt , S. Kümmel

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

We study metallization of molecular hydrogen under pressure using exact exchange (EXX) Kohn-Sham density-functional theory in order to avoid well-known underestimates of band gaps associated with standard local-density or…

Materials Science · Physics 2007-05-23 Martin Staedele , Richard M. Martin

The effect of external strain on surface properties of simple metals is considered within the modified stabilized jellium model. The equations for the stabilization energy of the deformed Wigner-Seitz cells are derived as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. V. Pogosov , V. P. Kurbatsky

In this chapter, we provide a review of ground-state Kohn-Sham density-functional theory of electronic systems and some of its extensions, we present exact expressions and constraints for the exchange and correlation density functionals,…

Chemical Physics · Physics 2022-09-12 Julien Toulouse

A recently developed formalism in which Kohn-Sham calculations are combined with an ``average pair density functional theory'' is reviewed, and some new properties of the effective electron-electron interaction entering in this formalism…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin

Exact density functionals for the exchange and correlation energies are approximated in practical calculations for the ground-state electronic structure of a many-electron system. An important exact constraint for the construction of…

Popular approximations to the exchange-correlation (xc) energy of density functional theory do not yield the spatial `step' structures in the exact xc potential which are necessary to describe dissociation and electron excitation with the…

Materials Science · Physics 2021-09-08 M. J. P. Hodgson

We report extensive self-consistent calculations of jellium surface energies, by going beyond the local-density approximation. The density-response function of a bounded free-electron gas is evaluated within the random-phase approximation,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , A. G. Eguiluz

The exact static and time-dependent Kohn-Sham (KS) exchange-correlation (xc) potential is extremely challenging to approximate as it is a local multiplicative potential that depends on the electron density everywhere in the system. The KS…

Strongly Correlated Electrons · Physics 2021-01-15 M. J. P. Hodgson , J. Wetherell

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

Chemical Physics · Physics 2009-11-10 Stephan Kümmel , John P. Perdew