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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…

化学物理 · 物理学 2013-07-09 Ilya G. Ryabinkin , Alexei A. Kananenka , Viktor N. Staroverov

An exchange energy functional is proposed and tested for obtaining a class of excited-state energies using density functional formalism. The functional is the excited-state counterpart of the local-density approximation functional for the…

材料科学 · 物理学 2007-05-23 Prasanjit Samal , Manoj K. Harbola

Density-functional theory simplifies many-electron calculations by approximating the exchange and correlation interactions with a one-electron operator that is a functional of the density. Hybrid functionals incorporate some amount of exact…

材料科学 · 物理学 2021-02-03 John Vinson

An exchange energy functional is proposed and tested for obtaining a class of excited-state energies using density-functional formalism. The functional is the excited-state counterpart of the local-density approximation functional for the…

其他凝聚态物理 · 物理学 2007-05-23 Prasanjit Samal , Manoj K. Harbola

The Hartree-Fock exchange operator is an integral operator arising in the Hartree-Fock method and replaced by a multiplicative operator (a local potential) in Kohn-Sham density functional theory. This article presents a detailed analysis of…

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…

化学物理 · 物理学 2024-03-05 Hideaki Takahashi

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…

材料科学 · 物理学 2013-01-24 Tom W. Hollins , Stewart J. Clark , Keith Refson , Nikitas I. Gidopoulos

This work presents a new class of hybrid density functional theory (DFT) approximations, incorporating nonlocal exact exchange in predefined states such as core atomic orbitals (AOs). These projected hybrid density functionals are a…

化学物理 · 物理学 2023-05-16 Benjamin G. Janesko

We compute the ground-state properties of finite systems of neutrons in an external harmonic trap, interacting via the Minnesota potential, using the "exact-exchange" form of orbital-dependent density functional theory. We compare our…

核理论 · 物理学 2011-07-28 Joaquín E. Drut , Lucas Platter

Exchange interactions are a manifestation of the quantum mechanical nature of the electrons and play a key role in predicting the properties of materials from first principles. In density functional theory (DFT), a widely used approximation…

材料科学 · 物理学 2020-03-27 Marco Bernardi

We introduce an orbital-optimized double-hybrid (DH) scheme using the optimized-effective-potential (OEP) method. The orbitals are optimized using a local potential corresponding to the complete exchange-correlation energy expression…

While the variational principle for excited-state energies leads to a route to obtaining excited-state densities from time-dependent density functional theory, relatively little attention has been paid to the quality of the resulting…

化学物理 · 物理学 2025-09-12 Anna Baranova , Neepa T. Maitra

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…

介观与纳米尺度物理 · 物理学 2015-09-02 Camilla Pellegrini , Johannes Flick , Ilya V. Tokatly , Heiko Appel , Angel Rubio

The optimized effective potential (OEP) is the exact Kohn-Sham potential for explicitly orbital-dependent energy functionals, e.g., the exact exchange energy. We give a proof for the OEP equation which does not depend on the chain rule for…

材料科学 · 物理学 2009-11-10 Stephan Kümmel , John P. Perdew

Recent progress in the field of (time-independent) ensemble density-functional theory (DFT) for excited states are reviewed. Both Gross-Oliveira-Kohn (GOK) and $N$-centered ensemble formalisms, which are mathematically very similar and…

化学物理 · 物理学 2021-11-29 Filip Cernatic , Bruno Senjean , Vincent Robert , Emmanuel Fromager

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…

原子物理 · 物理学 2015-05-20 M. Cinal , A. Holas

Local density approximation for the exchange energy is made for treatment of excited-states in density-functional theory. It is shown that taking care of the state-dependence of the LDA exchange energy functional leads to accurate…

其他凝聚态物理 · 物理学 2007-05-23 Manoj K. Harbola , Prasanjit Samal

The modified local spin density functional and the related local potential for excited states is tested by employing the ionization potential theorem. The functional is constructed by splitting $k$-space. Since its functional derivative…

化学物理 · 物理学 2014-05-23 M. Hemanadhan , Md. Shamim , Manoj K. Harbola

Hybrid density functionals, which replaces a fraction of density functional theory (DFT) exchange with exact Hartree-Fock (HF) exchange, have been used to study the structural, magnetic, and electronic properties of delta-Plutonium. The…

材料科学 · 物理学 2009-11-13 Raymond Atta-Fynn , Asok K. Ray

The evaluation of exact (Hartree--Fock, HF) exchange operator is a crucial ingredient for the accurate description of electronic structure in periodic systems through ab initio and hybrid density functional approaches. An efficient…

化学物理 · 物理学 2020-10-28 Xiao Wang , Cannada A. Lewis , Edward F. Valeev
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