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The asymptotics of the Kohn-Sham (KS) exact exchange potential $V_x(z)$ of a jelliumlike semi-infinite metal is investigated, in the framework of the optimized-effective-potential formalism of density-functional theory. Our numerical…

强关联电子 · 物理学 2021-10-20 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

The behavior of the surface barrier that forms at the metal-vacuum interface is important for several fields of surface science. Within the Density Functional Theory framework, this surface barrier has two non-trivial components: exchange…

其他凝聚态物理 · 物理学 2009-11-11 C. M. Horowitz , C. R. Proetto , S. Rigamonti

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…

其他凝聚态物理 · 物理学 2009-11-13 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

An interesting fundamental problem in density-functional theory of electronic structure of matter is to construct the exact Kohn-Sham (KS) potential for a given density. The exact potential can then be used to assess the accuracy of…

原子与分子团簇 · 物理学 2019-05-22 Ashish Kumar , Rabeet Singh , Manoj K. Harbola

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…

介观与纳米尺度物理 · 物理学 2021-01-15 M. J. P. Hodgson , J. D. Ramsden , T. R. Durrant , R. W. Godby

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to approximate the exchange-correlation energy of the restricted Kohn-Sham scheme. Our approximation corresponds to a highly non-local density…

强关联电子 · 物理学 2012-12-12 Francesc Malet , Paola Gori-Giorgi

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

凝聚态物理 · 物理学 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

We train a neural network as the universal exchange-correlation functional of density-functional theory that simultaneously reproduces both the exact exchange-correlation energy and potential. This functional is extremely non-local, but…

计算物理 · 物理学 2019-10-10 Jonathan Schmidt , Carlos L. Benavides-Riveros , Miguel A. L. Marques

The frequency-dependent exchange-correlation potential, which appears in the usual Kohn-Sham formulation of a time-dependent linear response problem, is a strongly nonlocal functional of the density, so that a consistent local density…

凝聚态物理 · 物理学 2009-10-28 G. Vignale , Walter Kohn

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…

强关联电子 · 物理学 2011-01-14 N. Helbig , I. V. Tokatly , A. Rubio

The exact ground-state exchange-correlation functional of Kohn-Sham density functional theory yields the exact transmission through an Anderson junction at zero bias and temperature. The exact impurity charge susceptibility is used to…

介观与纳米尺度物理 · 物理学 2015-06-03 Zhenfei Liu , Justin P. Bergfield , Kieron Burke , Charles A. Stafford

In this work, we have used the exchange-only optimized effective potential in the self-consistent calculations of the density functional Kohn-Sham equations for simple metal clusters in stabilized jellium model with self-compression. The…

原子与分子团簇 · 物理学 2009-11-11 M. Payami

The conventional approaches to the inverse density functional theory problem typically assume non-degeneracy of the Kohn-Sham (KS) eigenvalues, greatly hindering their use in open-shell systems. We present a generalization of the inverse…

化学物理 · 物理学 2024-01-09 Bikash Kanungo , Jeffrey Hatch , Paul M. Zimmerman , Vikram Gavini

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…

化学物理 · 物理学 2024-09-09 Sara Giarrusso , Federica Agostini

The near nucleus behavior of the exchange-correlation potential $v_{xc}({\bf r})$ in Hohenberg-Kohn-Sham density functional theory is investigated. It is shown that near the nucleus the linear term of $O(r)$ of the spherically averaged…

材料科学 · 物理学 2009-11-13 Zhixin Qian

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

材料科学 · 物理学 2013-04-03 Eli Kraisler , Leeor Kronik

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to construct an approximation for the exchange-correlation term of the Kohn-Sham approach. The resulting exchange-correlation potential is able to…

We generalize the exact strong-interaction limit of the exchange-correlation energy of Kohn-Sham density functional theory to open systems with fluctuating particle numbers. When used in the self-consistent Kohn-Sham procedure on…

强关联电子 · 物理学 2015-06-16 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

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…

化学物理 · 物理学 2026-02-20 Fabien Tran , Susi Lehtola , Stefano Pittalis , Miguel A. L. Marques

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…

强关联电子 · 物理学 2021-01-15 M. J. P. Hodgson , J. Wetherell
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