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Certain excitations, especially ones of long-range charge transfer character, are poorly described by time-dependent density functional theory (TDDFT) when typical (semi-)local functionals are used. A proper description of these excitations…

Chemical Physics · Physics 2018-08-01 J. Garhammer , F. Hofmann , R. Armiento , S. Kümmel

It is well known that in the gradient expansion approximation to density functional theory (DFT) the gradient and Laplacian of the density make interchangeable contributions to the exchange correlation (XC) energy. This is an arbitrary…

Chemical Physics · Physics 2013-08-20 Antonio C. Cancio , Chris E. Wagner

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

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 developed a method for calculating solid-state ground-state properties and fundamental band-gaps using a generalized Kohn-Sham approach combining a local density approximation (LDA) functional with a long-range explicit exchange orbital…

Materials Science · Physics 2019-03-27 Helen R. Eisenberg , Roi Baer

Performing high accuracy hybrid functional calculations for condensed matter systems containing a large number of atoms is at present computationally very demanding - when not out of reach - if high quality basis sets are used. We present a…

Materials Science · Physics 2017-12-22 Laura E. Ratcliff , A. Degomme , José A. Flores-Livas , Stefan Goedecker , Luigi Genovese

The Pb/Si(111) thin films were simulated within the density functional theory (DFT). The well-known Perdew-Burke-Ernzerhof (PBE) version of the generalized gradient approximation (GGA) and its recent nonempirical successor Wu-Cohen (WC)…

Mesoscale and Nanoscale Physics · Physics 2009-11-23 M. Rafiee , S. Jalali Asadabadi

The Kohn-Sham orbital kinetic energy density $\tau_\sigma(\vec{r}) = \sum_{i} w_{i\sigma} \big|\nabla \psi_{i\sigma}(\vec{r}) \big|^2$ is one fundamental quantity for constructing meta-generalized gradient approximations (meta-GGA) for use…

Materials Science · Physics 2015-06-23 Lin-Hui Ye

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

We report results from an efficient, robust, ab-initio method for self-consistent calculations of electronic and structural properties of Ge. Our non-relativistic calculations employed a generalized gradient approximation (GGA) potential…

Materials Science · Physics 2013-09-13 C. E. Ekuma , M. Jarrell , J. Moreno , G. L. Zhao , D. Bagayoko

By adding a non-linear core correction to the well established Dual Space Gaussian type pseudopotentials for the chemical elements up to the third period, we construct improved pseudopotentials for the Perdew Burke Ernzerhof (PBE)…

The structural properties of liquid GeSe$_2$ are studied by using first-principles molecular dynamics in conjuncton with the Becke, Lee, Yang and Parr (BLYP) generalized gradient approximation for the exchange and correlation energy. The…

Materials Science · Physics 2015-05-13 M. Micoulaut , R. Vuilleumier , C. Massobrio

Semilocal exchange-correlation functionals are the most accurate, realistic and widely used ones to describe the complex many-electron effects of two-dimensional quantum systems. Beyond local density approximation, the generalized gradient…

Materials Science · Physics 2017-04-12 Subrata Jana , Prasanjit samal

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

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 flexibility of common generalized gradient approximation for the exchange-correlation energy is investigated by monitoring the equilibrium volume of transition metals. It is shown that no universal gradient-level approximation yielding…

Materials Science · Physics 2015-06-05 H. Levämäki , L. Vitos , M. P. J. Punkkinen , K. Kokko

The Pauli kinetic energy enhancement factor $\alpha=(\tau-\tau^W)/\tau^{unif}$ is an important density ingredient, used to construct many meta-generalized gradient approximations (meta-GGA) exchange-correlation (XC) energy functionals,…

Materials Science · Physics 2021-07-07 Subrata Jana , Sushant Kumar Behera , Szymon Smiga , Lucian A. Constantin , Prasanjit Samal

The Heyd-Scuseria-Ernzerhof (HSE) density functionals are popular for their ability to improve the accuracy of standard semilocal functionals such as Perdew-Burke-Ernzerhof (PBE), particularly for semiconductor band gaps. They also have a…

Materials Science · Physics 2025-10-07 Jonathan E. Moussa , Peter A. Schultz , James R. Chelikowsky

By investigating the crystalline structure of ground-state orthorhombic SrRuO$_3$, we present a benchmark study of some of the most popular density functional theory (DFT) approaches from the local density approximation (LDA),…

Materials Science · Physics 2016-08-03 Š. Masys , V. Jonauskas

This paper introduces a novel kernel density estimator (KDE) based on the generalised exponential (GE) distribution, designed specifically for positive continuous data. The proposed GE KDE offers a mathematically tractable form that avoids…

Methodology · Statistics 2026-02-18 Laura M. Craig , Wagner Barreto-Souza
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