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Due to several attractive features, the meta-generalized-gradient approximations (meta-GGAs) are considered to be the most advanced and potentially accurate semilocal exchange-correlation functionals in the rungs of the Jacob's ladder of…

Atomic and Molecular Clusters · Physics 2020-04-28 Abhilash Patra , Subrata Jana , Lucian A. Constantin , Prasanjit Samal

We calculate the electronic structure of several atoms and small molecules by direct minimization of the Self-Interaction Corrected Local Density Approximation (SIC-LDA) functional. To do this we first derive an expression for the gradient…

Condensed Matter · Physics 2009-10-28 S. Goedecker , C. J. Umrigar

An exchange correlation energy functional involving fractional power of the one-body reduced density matrix [Phys. Rev. B {\bf 78}, 201103 (2008)] is applied to finite systems and to the homogeneous electron gas. The performance of the…

Strongly Correlated Electrons · Physics 2015-05-13 N. N. Lathiotakis , S. Sharma , J. K. Dewhurst , F. Eich , M. A. L. Marques , E. K. U. Gross

The interface structure of Fe/MgO(100) magnetic tunnel junctions predicted by density functional theory (DFT) depends significantly on the choice of exchange and correlation functional. Bader analysis reveals that structures obtained by…

Materials Science · Physics 2015-05-13 Xiaobing Feng , O. Bengone , M. Alouani , S. Lebégue , I. Rungger , S. Sanvito

Since the seminal works of Thomas and Fermi, researchers in the Density-Functional Theory (DFT) community are searching for accurate electron density functionals. Arguably, the toughest functional to approximate is the noninteracting…

Materials Science · Physics 2018-05-23 Wenhui Mi , Alessandro Genova , Michele Pavanello

We propose a generalized gradient approximation (GGA) for the angle- and system-averaged exchange-correlation hole of a many-electron system. This hole, which satisfies known exact constraints, recovers the PBEsol (Perdew-Burke-Ernzerhof…

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

The density functional theory (DFT) approximations that are the most accurate for the calculation of band gap of bulk materials are hybrid functionals like HSE06, the MBJ potential, and the GLLB-SC potential. More recently, generalized…

Presented here are calculations of the distortion of the density of an electron gas due to the electrostatic field of a proton. Several models based upon the local density approximation (LDA) of density functional theory [linear response…

chem-ph · Physics 2009-10-22 Gary G. Hoffman , Lawrence R. Pratt

Meta-generalized gradient approximations (meta-GGAs) on the third rung of the functional hierarchy are gaining increasing relevance for the electronic structure. Meta-GGAs are constructed from numerous ingredients including the orbital…

Materials Science · Physics 2025-06-05 Ashesh Giri , Chandra Shahi , Adrienn Ruzsinszky

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

It is shown that the DFT exchange and correlation functionals satisfy an expression that couples exchange and correlation functionals and functional derivatives evaluated at three different densities and for two particle numbers. This…

Materials Science · Physics 2015-05-30 Daniel P. Joubert

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

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

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang

The modified Becke-Johnson meta-GGA potential of density functional theory has been shown to be the best exchange-correlation potential to determine band gaps of crystalline solids. However, it cannot be consistently used for the electronic…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Tomáš Rauch , Miguel A. L. Marques , Silvana Botti

A semi-relativistic density-functional theory that includes spin-orbit couplings and Zeeman fields on equal footing with the electromagnetic potentials, is an appealing framework to develop a unified first-principles computational approach…

Materials Science · Physics 2017-09-13 S. Pittalis , G. Vignale , F. G. Eich

We benchmark the ground state energies and the density profiles of atomic repulsive Fermi gases in optical lattices computed via Density Functional Theory (DFT) against the results of diffusion Monte Carlo (DMC) simulations. The main focus…

Quantum Gases · Physics 2018-06-12 S. Pilati , I. Zintchenko , M. Troyer , F. Ancilotto

The magnetic ground state of FeRh is highly sensitive towards the lattice constant. This, in addition to partially filled d-shells of Fe and Rh, posed a significant challenge for Density Functional Theory (DFT) calculations in the past.…

Materials Science · Physics 2024-01-24 Shishir Kumar Pandey , Saikat Debnath , Zhanghao Zhouyina , Qiangqiang Gu

We discuss a possible form for a theory akin to local density functional theory, but able to produce van der Waals energies in a natural fashion. The usual Local Density Approximation (LDA) for the exchange and correlation energy $E_{xc}$…

Soft Condensed Matter · Physics 2007-05-23 John F. Dobson

This article is concerned with the mathematical analysis of the Kohn-Sham and extended Kohn-Sham models, in the local density approximation (LDA) and generalized gradient approximation (GGA) frameworks. After recalling the mathematical…

Quantum Physics · Physics 2008-10-01 Arnaud Anantharaman , Eric Cancès