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A DFT benchmark on water including more than 50 functionals from GGA to double-hybrid levels is reported. The main metric is the accuracy of forces, allowing better structural coverage, higher statistical confidence, and fewer error sources…

Chemical Physics · Physics 2025-12-23 Shifan Cui

Bridging the gap between first principles methods and empirical schemes, the density functional based tight-binding method (DFTB) has become a versatile tool in predictive atomistic simulations over the past years. One of the major…

Materials Science · Physics 2015-04-02 Vitalij Lutsker , Balint Aradi , Thomas A. Niehaus

Rare-earth oxides (REOs) are an important class of materials owing to their unique properties, including high ionic conductivities, large dielectric constants, and elevated melting temperatures, making them relevant to several technological…

Hubbard-corrected density functional theory, denoted by DFT+U method, was developed to enable correct prediction of insulating properties for strongly-correlated electron systems. UO$_2$ is an example having O-$2p$, U-$6d$, and U-$5f$…

Strongly Correlated Electrons · Physics 2023-02-28 Mahmoud Payami

The reliable prediction of optical and fundamental gaps of finite size systems using density functional theory requires to account for the potential self-interaction error, which is notorious for degrading the description of charge transfer…

Chemical Physics · Physics 2016-10-26 O. S. Bokareva , M. F. Shibl , M. J. Al-Marri , T. Pullerits , O. Kühn

Density functional theory(DFT) and Hartree-Fock(HF) calculations are reported for the family of transition metal fluorides $\mbox{ScF}_3$, $\mbox{TiF}_4$, $\mbox{VF}_5$, and $\mbox{CrF}_6$. Both HF and the local-density-aproximation (LDA)…

chem-ph · Physics 2016-08-31 Thomas V. Russo , Richard L. Martin , P. Jeffrey Hay

This is a follow-up of our recently proposed work on pseudopotential calculation (Ref. [21]) of atoms and molecules within DFT framework, using cartesian coordinate grid. Detailed results are presented to demonstrate the usefulness,…

Chemical Physics · Physics 2015-05-18 Amlan K. Roy

We investigate a highly-nonlocal generalization of the Lindhard function, given by the jellium-with-gap model. We find a band-gap-dependent gradient expansion of the kinetic energy, which performs noticeably well for large atoms. Using the…

Other Condensed Matter · Physics 2017-05-18 L. A. Constantin , E. Fabiano , S. Śmiga , F. Della Sala

The subject of this study is the exchange-correlation-energy functional of reduced density matrix functional theory. Approximations of this functional are tested by applying them to the homogeneous electron gas. We find that two…

Materials Science · Physics 2011-01-14 N. N. Lathiotakis , N. Helbig , E. K. U. Gross

Selecting excitations in localized orbitals to calculate long-range correlation contributions to range-separated density-functional theory can reduce the overall computational effort significantly. Beyond simple selection schemes of excited…

Chemical Physics · Physics 2016-02-29 E Chermak , Peter Reinhardt , Bastien Mussard , Janos Angyan

Quantum chemistry methods exploiting density-functional approximations for short-range electron-electron interactions and second-order M{{\o}}ller-Plesset (MP2) perturbation theory for long-range electron-electron interactions have been…

We show how redshift-space distortions of the galaxy correlation function or power spectrum can constrain the matter density parameter Omega_m and the linear matter fluctuation amplitude sigma_8. We improve on previous treatments by…

Astrophysics · Physics 2009-11-10 Jeremy L. Tinker , David H. Weinberg , Zheng Zheng

Quantum spin Hall (QSH) insulators have attracted intensive experimental and theoretical studies due to their beneficial applications in spintronic devices. Density functional theory (DFT) meets challenges when describing the electronic…

Materials Science · Physics 2024-06-19 Li Yin , Hong Tang , Adrienn Ruzsinszky

We consider the problem of efficiently approximating and encoding high-dimensional data sampled from a probability distribution $\rho$ in $\mathbb{R}^D$, that is nearly supported on a $d$-dimensional set $\mathcal{M}$ - for example…

Machine Learning · Statistics 2017-07-19 Wenjing Liao , Mauro Maggioni

We construct a nonlocal density functional approximation with full exact exchange, while preserving the constraint-satisfaction approach and justified error cancellations of simpler semilocal functionals. This is achieved by interpolating…

Chemical Physics · Physics 2009-11-13 John P. Perdew , Viktor N. Staroverov , Jianmin Tao , Gustavo E. Scuseria

The homogeneous electron gas (HEG) is a key ingredient in the construction of most exchange-correlation functionals of density-functional theory. Often, the energy of the HEG is parameterized as a function of its spin density $n$, leading…

Chemical Physics · Physics 2021-02-10 Susi Lehtola , Miguel A. L. Marques

The recently proposed rSCAN functional [J. Chem. Phys. 150, 161101 (2019)] is a regularized form of the SCAN functional [Phys. Rev. Lett. 115, 036402 (2015)] that improves SCAN's numerical performance at the expense of breaking constraints…

Materials Science · Physics 2020-09-02 James W. Furness , Aaron D. Kaplan , Jinliang Ning , John P. Perdew , Jianwei Sun

We reexamine the recently introduced basis-set correction theory based on density-functional theory consisting in correcting the basis-set incompleteness error of wave-function methods using a density functional. We use a one-dimensional…

Chemical Physics · Physics 2022-02-16 Diata Traore , Emmanuel Giner , Julien Toulouse

Accurate charge densities are essential for reliable electronic structure calculations because they significantly impact predictions of various chemical properties and in particular, according to the Hellmann-Feynman theorem, atomic forces.…

Chemical Physics · Physics 2025-03-12 Moritz Gubler , Moritz R. Schäfer , Jörg Behler , Stefan Goedecker

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