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The interlayer spacings near the surface of a crystal are different from that of the bulk. As a result, the value of the ionic density in the normal direction and near to the surface shows some oscillations around the bulk value. To…

Materials Science · Physics 2015-05-18 M. Payami , T. Mahmoodi

Accurate approximation of the exchange-correlation (XC) energy in density functional theory (DFT) calculations is essential for reliably modelling electronic systems. Many such approximations are developed from models of the XC hole;…

Chemical Physics · Physics 2024-11-27 Lin Hou , Tom J. P. Irons , Yanyong Wang , James W. Furness , Andrew M. Wibowo-Teale , Jianwei Sun

In this work, we have used the liquid-drop model in the context of stabilized jellium model, to study the stability of $Z$-ply charged metal clusters of different species against fragmentation. We have shown that on the one hand, singly…

Materials Science · Physics 2009-11-10 M. Payami

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

The local density approximation (LDA) constructed through quantum Monte Carlo calculations of the homogeneous electron gas (HEG) is the most common approximation to the exchange-correlation functional in density functional theory. We…

Other Condensed Matter · Physics 2021-01-15 Mike Entwistle , Matthew Hodgson , Jack Wetherell , Bradley Longstaff , James Ramsden , Rex Godby

We construct exact Kohn-Sham potentials for the ensemble density-functional theory (EDFT) from the ground and excited states of helium. The exchange-correlation (XC) potential is compared with the quasi-local-density approximation and both…

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

Following Hollins et al. [J. Phys.: Condens. Matter 29, 04LT01 (2017)], we invert the electronic ground state densities for various semiconducting and insulating solids calculated using several density functional approximations within the…

Chemical Physics · Physics 2025-11-05 Visagan Ravindran , Nikitas I. Gidopoulos , Stewart J. Clark

We examine thin films of two simple metals (aluminum and lithium) in the stabilized jellium model, a modification of the regular jellium model in which a constant potential is added inside the metal to stabilize the system for a given…

Materials Science · Physics 2009-10-31 I. Sarria , C. Henriques , C. Fiolhais , J. M. Pitarke

Several semilocal exchange potentials usually employed in the framework of density-functional theory (DFT) are tested and compared with their exact counterpart, the exchange Optimized Effective Potential (OEP), as applied to the…

Strongly Correlated Electrons · Physics 2022-03-14 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

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…

The static response properties and the structural stability of silver clusters in the size range $1\le n \le 23$ have been studied using a linear combination of atomic Gaussian-type orbitals within the density functional theory in the…

Atomic and Molecular Clusters · Physics 2009-11-13 M. Pereiro , D. Baldomir

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

We construct and study several semilocal density functional approximations for the positive Kohn-Sham kinetic energy density. These functionals fit the kinetic energy density of the Airy gas and they can be accurate for integrated kinetic…

Materials Science · Physics 2015-05-13 Lucian A. Constantin , Adrienn Ruzsinszky

A new method for extracting ensemble Kohn-Sham potentials from accurate excited state densities is applied to a variety of two electron systems, exploring the behavior of exact ensemble density functional theory. The issue of separating the…

The optimized effective potential method is formulated as a convex minimization problem. This formulation does not require assumptions about $v$-representability nor functional differentiability. The formulation provides a natural framework…

Chemical Physics · Physics 2022-02-01 Erik I. Tellgren , Andre Laestadius , Markus Penz

We study the structure and energetics of Au$_N$ clusters by means of parameter-free density-functional calculations ($N\le 8$), jellium calculations ($N\le 60$), embedded-atom calculations ($N\le 150$), and parameterized density-functional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Denitsa Alamanova , Yi Dong , Habib ur Rehman , Michael Springborg , Valeri G. Grigoryan

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

We present enhancements to the computational efficiency of exact exchange calculations using the density matrix and local support functions. We introduce a numerical method which avoids the explicit calculation the four-center two-electron…

Chemical Physics · Physics 2016-11-25 Lionel A. Truflandier , Tsuyoshi Miyazaki , David R. Bowler

We introduce a renormalized Jellium model to calculate the equation of state for charged colloidal suspensions. An almost perfect agreement with Monte Carlo simulations is found. Our self-consistent approach naturally allows to define the…

Soft Condensed Matter · Physics 2009-11-10 Emmanuel Trizac , Yan Levin