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We present a new class of non-adiabatic approximations in time-dependent density functional theory derived from an exact expression for the time-dependent exchange-correlation potential. The approximations reproduce dynamical step and peak…

Chemical Physics · Physics 2018-12-21 Lionel Lacombe , Neepa T. Maitra

In the full quantum theory, the energy of a many-body quantum system with a given one-body density is described by the Levy-Lieb functional. It is exact, but very complicated to compute. For practical computations, it is useful to introduce…

Mathematical Physics · Physics 2020-11-24 Nicco Mietzsch

In the density functional (DF) theory of Kohn and Sham, the kinetic energy of the ground state of a system of noninteracting electrons in a general external field is calculated using a set of orbitals. Orbital free methods attempt to…

Strongly Correlated Electrons · Physics 2009-11-13 Jeng-Da Chai , John D Weeks

To obtain accurate independent-particle descriptions for ferromagnetic two-dimensional van der Waals materials, we apply the quasiparticle self-consistent $GW$ (QSGW) method to VI$_3$, CrI$_3$, CrGeTe$_3$, and Fe$_3$GeTe$_2$. QSGW provides…

Strongly Correlated Electrons · Physics 2020-06-09 Y. Lee , Takao Kotani , Liqin Ke

We compare the behavior of the finite-temperature Hartree-Fock model with that of thermal density functional theory using both ground-state and temperature-dependent approximate exchange functionals. The test system is bcc Li in the…

Materials Science · Physics 2013-11-26 Valentin V. Karasiev , Travis Sjostrom , S. B. Trickey

The Hohenberg-Kohn density functional was long ago shown to reduce to the Thomas-Fermi approximation in the non-relativistic semiclassical (or large-$Z$) limit for all matter, i.e, the kinetic energy becomes local. Exchange also becomes…

Materials Science · Physics 2016-08-24 Kieron Burke , Antonio Cancio , Tim Gould , Stefano Pittalis

An exchange-correlation energy functional beyond the local density approximation, based on the exchange-correlation kernel of the homogeneous electron gas and originally introduced by Kohn and Sham, is considered for electronic structure…

Condensed Matter · Physics 2016-08-31 Maurizia Palummo , Giovanni Onida , Rodolfo Del Sole

We present SPARC-atomSFE, a spectral finite-element package for accurate and efficient atomic structure calculations within the framework of Kohn-Sham density functional theory. The package supports both all-electron and norm conserving…

Computational Physics · Physics 2026-05-19 Qihao Cheng , Shubhang Krishnakant Trivedi , Phanish Suryanarayana

The density-functional approach to quantum electrodynamics is extending traditional density-functional theory and opens the possibility to describe electron-photon interactions in terms of effective Kohn-Sham potentials. In this work, we…

Quantum Physics · Physics 2016-02-17 Johannes Flick , Michael Ruggenthaler , Heiko Appel , Angel Rubio

The polarization-dependence of the exchange-correlation (XC) energy functional of periodic insulators within Kohn-Sham (KS) density-functional theory requires a ${\cal O} (1/q^2)$ divergence in the XC kernel for small vectors q. This…

Materials Science · Physics 2009-10-30 Ph. Ghosez , X. Gonze , R. W. Godby

The electron density, its gradient, and the Kohn-Sham orbital kinetic energy density are the local ingredients of a meta-generalized gradient approximation (meta-GGA). We construct a meta-GGA density functional for the exchange-correlation…

Materials Science · Physics 2009-02-20 Jianmin Tao , John P. Perdew , Viktor N. Staroverov , Gustavo E. Scuseria

Most torsional barriers are predicted to high accuracy (about 1kJ/mol) by standard semilocal functionals, but a small subset has been found to have much larger errors. We create a database of almost 300 carbon-carbon torsional barriers,…

Chemical Physics · Physics 2021-02-16 Seungsoo Nam , Eunbyol Cho , Kieron Burke , Eunji Sim

In this paper, we investigate the energy minimization model of the ensemble Kohn-Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing approach are involved. We study the invariance…

Numerical Analysis · Mathematics 2022-01-19 Xiaoying Dai , Stefano de Gironcoli , Bin Yang , Aihui Zhou

Using a linear combination of atomic orbitals approach, we report a systematic comparison of various Density Functional Theory (DFT) and hybrid exchange-correlation functionals for the prediction of the electronic and structural properties…

Materials Science · Physics 2008-05-07 D. I. Bilc , R. Orlando , R. Shaltaf , G. -M. Rignanese , Jorge Íñiguez , Ph. Ghosez

Multi-center transition metal complexes (MCTMs) with magnetically interacting ions have been proposed as components for information processing devices and storage units. For any practical application of MCTMs as magnetic units, it is…

Chemical Physics · Physics 2023-04-03 Henry C. Fitzhugh , James W. Furness , Mark R. Pederson , Juan E. Peralta , Jianwei Sun

Orbital-Free Density Functional Theory (OFDFT) has re-emerged as a viable alternative to Kohn-Sham DFT, driven by recent advances in kinetic energy density functionals (KEDFs). Nonlocal (NL) KEDFs have significantly extended OFDFT's…

Materials Science · Physics 2025-12-24 Abhishek Bhattacharjee , Hemanadhan Myneni , Manoj K. Harbola , Prasanjit Samal

Accurate exchange-correlation (XC) potentials for 3-dimensional systems -- via solution of the \emph{inverse} density functional theory (DFT) problem -- are now available to test the quality of DFT approximations. Herein, the \emph{exact}…

Chemical Physics · Physics 2021-11-18 Bikash Kanungo , Paul M. Zimmerman , Vikram Gavini

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 obtain the nuclear proximity potential by using semiclassical extended Thomas Fermi (ETF) approach in Skyrme energy density formalism (SEDF), and use it in the extended $\ell$-summed Wong formula under frozen density approximation. This…

Nuclear Theory · Physics 2011-09-30 Raj Kumar , Raj K. Gupta

Mejia-Rodriguez and Trickey recently proposed a procedure for removing the explicit dependence of meta-GGA exchange-correlation energy functionals $E_{\rm xc}$ on the kinetic energy density $\tau$. We present a simple modification to this…

Materials Science · Physics 2024-04-22 Pietro Bonfà , Sangeeta Sharma , John Kay Dewhurst
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