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We analyze the methodology and the performance of subsystem density functional theory (DFT) with meta-generalized gradient approximation (meta-GGA) exchange-correlation functionals for non-bonded systems. Meta-GGA functionals depend on the…

Other Condensed Matter · Physics 2015-05-05 S. Śmiga , E. Fabiano , S. Laricchia , L. A. Constantin , F. Della Sala

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

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…

By using the quantum Ising chain as a test bed and treating the spin polarization along the external transverse field as the "generalized density", we examine the performance of different levels of density functional approximations parallel…

Computational Physics · Physics 2021-10-27 Jiahao Mao , Haifeng Tang , Wenhui Duan , Zheng Liu

The Jacob's ladder of density functional theory (DFT) proposes the compelling view that by extending the form of successful approximations -- being guided by exact conditions and selected (least empirical) norms -- upper rungs will do…

Materials Science · Physics 2025-02-25 Jacques K. Desmarais , Alessandro Erba , Giovanni Vignale , Stefano Pittalis

Unlike the local density approximation (LDA) and the generalized gradient approximation (GGA), calculations with meta-generalized gradient approximations (meta-GGA) are usually done according to the generalized Kohn-Sham (gKS) formalism.…

Materials Science · Physics 2016-06-01 Zeng-hui Yang , Haowei Peng , Jianwei Sun , John P. Perdew

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

Semilocal density functionals for the exchange-correlation energy are needed for large electronic systems. The Tao-Perdew-Staroverov-Scuseria (TPSS) meta-generalized gradient approximation (meta-GGA) is semilocal and usefully accurate, but…

Materials Science · Physics 2009-06-30 John P. Perdew , Adrienn Ruzsinszky , Gabor I. Csonka , Lucian A. Constantin , Jianwei Sun

We explicitly build a generalized local-density approximation (GLDA) correlation functional based on one-dimensional (1D) uniform electron gases (UEGs). The fundamental parameters of the GLDA \textemdash a generalization of the widely-known…

Chemical Physics · Physics 2015-08-12 Pierre-François Loos

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

Using a reverse-engineering method we construct a meta-generalized gradient approximation (meta-GGA) angle-averaged exchange-correlation hole model which has a general applicability. It satisfies known exact hole constraints and can exactly…

Chemical Physics · Physics 2013-09-17 L. A. Constantin , E. Fabiano , F. Della Sala

The accuracy of applying density functional theory to noncovalent interactions is hindered by errors arising from low-density regions of interaction-induced change in the density gradient, error compensation between correlation and exchange…

Chemical Physics · Physics 2014-10-22 Marcin Modrzejewski , Grzegorz Chałasiński , Małgorzata M. Szczęśniak

We test Laplacian-level meta-generalized gradient approximation (meta-GGA) non-interacting kinetic energy functionals based on the fourth-order gradient expansion (GE4). We consider several well known Laplacian-level meta-GGAs from…

Chemical Physics · Physics 2014-03-19 S. Laricchia , L. A. Constantin , E. Fabiano , F. Della Sala

We propose a range-separated hybrid exchange-correlation functional to calculate solid-state material properties. The functional mixes Hartree-Fock exchange with the semilocal exchange of the meta-generalized gradient approximation…

Materials Science · Physics 2025-02-27 Subrata Jana , Abhishek Bhattacharjee , Suman Mahakal , Szymon Smiga , Prasanjit Samal

Generalized gradient approximated (GGA) density functional theory (DFT) typically overestimates polarizability and bond-lengths, and underestimates force constants of covalent bonds. To overcome this problem we show that one can use…

Chemical Physics · Physics 2016-06-29 O. Anatole von Lilienfeld

Range separated hybrid density functionals are very successful in describing a wide range of molecular and solid state properties accurately. Range separated hybrid functionals are designed from spherically averaged or system averaged…

Materials Science · Physics 2017-12-15 Subrata Jana , Prasanjit Samal

Functionals of the meta-generalized gradient approximation (MGGA) are nowadays widely used in chemistry and solid-state physics for the simulation of electronic systems like molecules, solids, or surfaces. Due to their dependency on the…

Materials Science · Physics 2022-05-31 Jan Doumont , Fabien Tran , Peter Blaha

The ground-state energy, electron density, and related properties of ordinary matter can be computed efficiently when the exchange-correlation energy as a functional of the density is approximated semilocally. We propose the first meta-GGA…

Materials Science · Physics 2015-06-25 Jianwei Sun , Adrienn Ruzsinszky , John P. Perdew

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

The semilocal meta generalized gradient approximation (MGGA) for the exchange-correlation functional of Kohn-Sham (KS) density functional theory can yield accurate ground-state energies simultaneously for atoms, molecules, surfaces, and…

Chemical Physics · Physics 2012-05-04 Jianwei Sun , Bing Xiao , Adrienn Ruzsinszky