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For exchange-correlation functionals that depend explicitly on the Kohn-Sham orbitals, the potential $V_{\mathrm{xc}\sigma}(\re)$ must be obtained as the solution of the optimized effective potential (OEP) integral equation. This is very…

Materials Science · Physics 2009-11-07 Stephan Kümmel , John P. Perdew

We devise an efficient practical method for computing the Kohn-Sham exchange-correlation potential corresponding to a Hartree-Fock electron density. This potential is almost indistinguishable from the exact-exchange optimized effective…

Chemical Physics · Physics 2013-07-09 Ilya G. Ryabinkin , Alexei A. Kananenka , Viktor N. Staroverov

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

The reported new algorithm determines the exact exchange potential v_x in a iterative way using energy and orbital shifts (ES, OS) obtained - with finite-difference formulas - from the solutions (occupied orbitals and their energies) of the…

Atomic Physics · Physics 2015-05-20 M. Cinal , A. Holas

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

The inverse Kohn-Sham density-functional theory (inv-KS) for the electron density of the Hartree-Fock (HF) wave function was revisited within the context of the optimized effective potential (HF- OEP). First, it is proved that the exchange…

Chemical Physics · Physics 2024-03-05 Hideaki Takahashi

The optimized effective potential (OEP) method presents an unambiguous way to construct the Kohn-Sham potential corresponding to a given diagrammatic approximation for the exchange-correlation functional. The OEP from the random-phase…

Materials Science · Physics 2023-07-18 Stefan Riemelmoser , Merzuk Kaltak , Georg Kresse

Exact-exchange self-consistent calculations of the Kohn-Sham potential, surface energy, and work function of jellium slabs are reported in the framework of the Optimized Effective Potential (OEP) scheme of Density Functional Theory. In the…

Other Condensed Matter · Physics 2009-11-13 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

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

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

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

Arguments showing that exchange-only optimized effective potential (xOEP) methods, with finite basis sets, cannot in general yield the Hartree-Fock (HF) ground state energy, but a higher one, are given. While the orbital products of a…

Chemical Physics · Physics 2007-05-23 Andreas Goerling , Andreas Hesselmann , Martin Jones , Mel Levy

We model the Hartree-exchange-correlation potential of Kohn-Sham density-functional theory adopting a novel strategy inspired by the strictly-correlated-electrons limit and relying on the exact decomposition of the potential based on the…

Chemical Physics · Physics 2024-09-09 Sara Giarrusso , Federica Agostini

The performance of correlated optimized effective potential (OEP) functionals based on the spin-resolved second-order correlation energy is analyzed. The relative importance of singly- and doubly- excited contributions as well as the effect…

Chemical Physics · Physics 2014-07-31 I. Grabowski , E. Fabiano , A. Teale , S. Śmiga , A. Buksztel , F. Della Sala

We review and expand on our work to impose constraints on the effective Kohn Sham (KS) potential of local and semi-local density functional approximations. In this work, we relax a previously imposed positivity constraint, which increased…

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

The optimized effective potential (OEP) approach has so far mainly been used in benchmark studies and for the evaluation of band gaps. In this work, we extend the application of the OEP by determining the analytical ionic forces within the…

Materials Science · Physics 2024-09-13 Damian Contant , Maria Hellgren

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

In electronic structure calculations the optimized effective potential (OEP) is a method that treats exchange interactions exactly using a local potential within density-functional theory (DFT). We present a method using density functional…

Materials Science · Physics 2013-01-24 Tom W. Hollins , Stewart J. Clark , Keith Refson , Nikitas I. Gidopoulos

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
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