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Related papers: Local Exchange Potentials for Electronic Structure…

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Separating the Coulomb potential into short-range and long-range components enables the use of different electron repulsion integral algorithms for each component. The short-range part can be efficiently computed using the analytical…

Chemical Physics · Physics 2023-09-27 Qiming Sun

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

For closed-shell systems, the local density approximation (LDA) and the LYP, BLYP, and B3LYP functionals are shown to be compatible with reference-state one-particle density-matrix theory, where this recently introduced formalism is based…

Chemical Physics · Physics 2009-11-10 James P. Finley

We report on a methodology for the treatment of the Coulomb energy and potential in Kohn-Sham density functional theory that is free from self-interaction effects. Specifically, we determine the Coulomb potential given as the functional…

Materials Science · Physics 2016-06-29 M. Däne , A. Gonis , D. M. Nicholson , G. M. Stocks

We test local and semi-local density functionals for the electronic exchange for a variety of systems including atoms, molecules, and atomic chains. In particular, we focus on a recent universal extension of the Becke-Johnson exchange…

Materials Science · Physics 2010-11-01 Micael J. T. Oliveira , Esa Räsänen , Stefano Pittalis , Miguel A. L. Marques

The exchange-correlation energy in Kohn-Sham density functional theory is expressed as a functional of the electronic density and the Kohn-Sham orbitals. An alternative to Kohn-Sham theory is to express the energy as a functional of the…

Computational Physics · Physics 2009-10-31 S. Goedecker , C. Umrigar

We treat the local exchange parameter, alpha, of the Slater's Xalpha method as a fitting parameter and determine its value by constraining some physical quantity obtained from the self-consistent solution of the Xalpha method to be equal to…

Other Condensed Matter · Physics 2007-05-23 Rajendra R. Zope , Brett I. Dunlap

This work presents exchange potentials for specific orbitals calculated by inverting Hartree-Fock wavefunctions. This was achieved by using a Depurated Inversion Method. The basic idea of the method relies upon the substitution of…

Atomic and Molecular Clusters · Physics 2016-10-21 A. M. P. Mendez , D. M. Mitnik , J. E. Miraglia

The spin-dependent localized Hartree-Fock (SLHF) density-functional approach is extended to the treatment of the inner-shell excited-state calculation of open-shell atomic systems. In this approach, the electron spin-orbitals in an…

Atomic Physics · Physics 2009-11-13 Zhongyuan Zhou , Shih-I Chu

We present a generalized formulation of the Optimized Effective Potential (OEP) approach to the Self Interaction Correction (SIC) problem in Time Dependent (TD) Density Functional Theory (DFT). The formulation relies on the introduction of…

Quantum Physics · Physics 2016-02-03 J. Messud , P. M. Dinh , P. -G. Reinhard , E. ~Suraud

The optimized effective potential (OEP) method is a promising technique for calculating the ground state properties of a system within the density functional theory. However, it is not widely used as its computational cost is rather high…

Materials Science · Physics 2016-12-15 Taro Fukazawa , Hisazumi Akai

The optimized effective potential (OEP) method allows for calculation of the local, effective single particle potential of density functional theory for explicitly orbital-dependent approximations to the exchange-correlation energy…

Materials Science · Physics 2015-06-25 P. Sule , S. Kurth , V. Van Doren

Current-spin density functional theory (CSDFT) provides a framework to describe interacting many-electron systems in a magnetic field which couples to both spin- and orbital-degrees of freedom. Unlike in usual (spin-) density functional…

Materials Science · Physics 2015-06-25 S. Pittalis , S. Kurth , N. Helbig , E. K. U. Gross

Explicitly orbital-dependent approximations to the exchange-correlation energy functional of density functional theory typically not only depend on the single-particle Kohn-Sham orbitals but also on their occupation numbers in the ground…

Materials Science · Physics 2009-05-14 S. Kurth , C. R. Proetto , K. Capelle

We propose global hybrid approximations of the exchange-correlation (XC) energy functional which reproduce well the modified fourth-order gradient expansion of the exchange energy in the semiclassical limit of many-electron neutral atoms…

Chemical Physics · Physics 2015-01-22 E. Fabiano , L. A. Constantin , P. Cortona , F. Della Sala

In this work we introduce a generalized flavor, in the sense of generalized Kohn-Sham density functional theory (gKS-DFT), of the recently derived local potential functional embedding theory (LPFET) [J. Chem. Theory Comput. 2025, 21, 20,…

Strongly Correlated Electrons · Physics 2026-02-18 Wafa Makhlouf , Bruno Senjean , Emmanuel Fromager

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

A fundamental weakness of density functional theory (DFT) is the difficulty in making systematic improvements to approximations for the exchange and correlation functionals. In this paper, we follow a wave-function-based approach [N.I.…

Chemical Physics · Physics 2018-10-05 Timothy J. Callow , Nikitas I. Gidopoulos

Antiferromagnetic and charge ordered Hartree-Fock solutions of the one-band Hubbard model with on-site and nearest-neighbor Coulomb repulsions are exactly mapped onto an auxiliary local Kohn-Sham (KS) problem within a density-functional…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Solovyev

We present a density difference based analysis for a range of orbital--dependent Kohn--Sham functionals. Results for atoms, some members of the neon isoelectronic series and small molecules are reported and compared with ab initio…

Chemical Physics · Physics 2015-01-22 I. Grabowski , A. M. Teale , E. Fabiano , S. Smiga , A. Buksztel , F. Della Sala