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Kinetic energy (KE) approximations are key elements in orbital-free density functional theory. To date, the use of non-local functionals, possibly employing system dependent parameters, has been considered mandatory in order to obtain…

Materials Science · Physics 2018-07-25 L. A. Constantin , E. Fabiano , F. Della Sala

An accurate analytical parametrization for the exchange-correlation free energy of the homogeneous electron gas, including interpolation for partial spin-polarization, is derived via thermodynamic analysis of recent restricted path integral…

Chemical Physics · Physics 2015-06-17 Valentin V. Karasiev , Travis Sjostrom , James Dufty , S. B. Trickey

The random phase approximation (RPA) is attracting renewed interest as a universal and accurate method for first-principles total energy calculations. The RPA naturally accounts for long-range dispersive forces without compromising accuracy…

Materials Science · Physics 2013-03-04 Thomas Olsen , Kristian S. Thygesen

Density functionals with a range-separated treatment of the exchange energy are known to improve upon their semilocal forerunners and fixed-fraction hybrids. The conversion of a given semilocal functional into its short-range analog is not…

Chemical Physics · Physics 2019-09-09 Dimitri N. Laikov

Local and semilocal density-functional approximations for the exchange-correlation energy fail badly in the zero-thickness limit of a quasi-two-dimensional electron gas, where the density variation is rapid almost everywhere. Here we show…

Materials Science · Physics 2009-11-13 Lucian A. Constantin , John P. Perdew , J. M. Pitarke

The development of kinetic energy functional (KEF) is known as one of the most difficult subjects in the electronic density functional theory (DFT). In particular, the sound description of chemical bonds using a KEF is a matter of great…

Chemical Physics · Physics 2025-03-03 Hideaki Takahashi

The fundamental energy gap of a periodic solid distinguishes insulators from metals and characterizes low-energy single-electron excitations. But the gap in the band-structure of the exact multiplicative Kohn-Sham (KS) potential…

The choice of exchange functional is a critical factor in determining the energy bandgap of semiconductors. Ab initio calculations using different exchange functionals, including the conventional generalized-gradient approximation (GGA)…

Materials Science · Physics 2023-12-08 Emel Gurbuz , Murat Tas , Ersoy Sasioglu , Ingrid Mertig , Biplab Sanyal , Iosif Galanakis

A long-standing puzzle in density-functional theory is the issue of the long-range behavior of the Kohn-Sham exchange-correlation potential at metal surfaces. As an important step towards its solution, it is proved here, through a rigurouos…

Materials Science · Physics 2015-05-18 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

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

In a recent paper [Phys.~Rev.~A {\bf 89}, 022503 (2014)], the average density approximation (ADA) was implemented to develop a parameter-free, nonlocal kinetic energy functional to be used in the orbital-free density-functional theory of an…

Quantum Gases · Physics 2015-08-25 J. Towers , B. P. van Zyl , W. Kirkby

We have computed the surface energies, work functions, and interlayer surface relaxations of clean (111), (110), and (100) surfaces of Al, Cu, Ru, Rh, Pd, Ag, Pt, and Au. Many of these metallic surfaces have technological or catalytic…

Materials Science · Physics 2022-06-01 Abhirup Patra , Jefferson E. Bates , Jianwei Sun , John P. Perdew

Quasiparticle energies and fundamental band gaps in particular are critical properties of molecules and materials. It was rigorously established that the generalized Kohn-Sham HOMO and LUMO orbital energies are the chemical potentials of…

Chemical Physics · Physics 2019-03-06 Yuncai Mei , Chen Li , Neil Qiang Su , Weitao Yang

We introduce a generalization (gLDA) of the traditional Local Density Approximation (LDA) within density functional theory. The gLDA uses both the one-electron Seitz radius $\rs$ and a two-electron hole curvature parameter $\eta$ at each…

Chemical Physics · Physics 2015-06-18 Pierre-François Loos , Caleb J. Ball , Peter M. W. Gill

The role of the exchange-correlation potential and the exchange-correlation kernel in the calculation of excitation energues from time-dependent density functional theory is studied. Excitation energies of the He and Be atoms are…

Materials Science · Physics 2007-05-23 Martin Petersilka , E. K. U. Gross , Kieron Burke

We establish the theoretical foundations for embedding a correlated wave function in an environment formed by Kohn-Sham orbitals. We show that introducing an approximation which equates two, in principle distinct, kinetic-energy functionals…

Chemical Physics · Physics 2026-03-06 Enzo Monino , Daria Drwal , Michał Hapka , Libor Veis , Katarzyna Pernal

In density functional theory (DFT), exact constraints, fundamental mathematical properties of the exchange-correlation (XC) energy and its underlying XC hole, along with paradigm systems such as the uniform electron gas and the hydrogen…

Materials Science · Physics 2026-03-13 Yan Oueis , Akilan Ramasamy , James W. Furness , Jamin Kidd , Timo Lebeda , Jianwei Sun

We report an efficient technique to treat density functionals of the meta-generalized gradient approximation (mGGA) class in conjunction with density fitting of Coulomb terms (DF-J) and exchange-correlation terms (DF-X). While the kinetic…

Chemical Physics · Physics 2018-02-07 Alyssa V. Bienvenu , Gerald Knizia

We assess the performance of recent density functionals for the exchange-correlation energy of a nonmolecular solid, by applying accurate calculations with the GAUSSIAN, BAND, and VASP codes to a test set of 24 solid metals and non-metals.…

In this short note, we present a rigorous derivation of the one-body double-hybrid density functional (OBDHF) theory, a self-consistent double-hybrid density functional framework that unifies the generalized Kohn-Sham (GKS) formalism with…

Chemical Physics · Physics 2026-03-17 Lan Nguyen Tran