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The development of semilocal models for the kinetic energy density (KED) is an important topic in density functional theory (DFT). This is especially true for subsystem DFT, where these models are necessary to construct the required…

Other Condensed Matter · Physics 2017-02-15 S. Śmiga , E. Fabiano , L. A. Constantin , F. Della Sala

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

The bulk properties (lattice constants, bulk moduli, and cohesive energies) of alkali, alkaline-earth, and transition metals are studied within the framework of the recently developed meta-GGA (meta-Generalized Gradient Approximation)…

Materials Science · Physics 2018-11-14 Subrata Jana , Kedar Sharma , Prasanjit Samal

We investigate fundamental properties of meta-generalized-gradient approximations (meta-GGAs) to the exchange-correlation energy functional, which have an implicit density dependence via the Kohn-Sham kinetic-energy density. To this…

Chemical Physics · Physics 2014-12-10 F. G. Eich , Maria Hellgren

The prominence of density functional theory (DFT) in the field of electronic structure computation stems from its ability to usefully balance accuracy and computational effort. At the base of this ability is a functional of the electron…

The relative energetic stability of the structural phases of common antiferromagnetic transition-metal oxides (MnO, FeO, CoO, and NiO) within the semilocal and hybrid density functionals are fraught with difficulties. In particular, MnO is…

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

A systematic way of improving exchange-correlation energy functionals of density functional theory has been to make them satisfy more and more exact relations. Starting from the initial GGA functionals, this has culminated into the recently…

Chemical Physics · Physics 2017-10-11 Rabeet Singh , Manoj K. Harbola

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

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

We study the uniform electron gas with a gap model in the context of density functional theory. Based on this analysis, we construct two local gap models that realize generalized gradient approximation (GGA) correlation functionals…

Other Condensed Matter · Physics 2015-01-22 E. Fabiano , P. E. Trevisanutto , A. Terentjevs , L. A. Constantin

Smooth, highly accurate analytical representations of Fermi-Dirac (FD) integral combinations important in free-energy density functional calculations are presented. Specific forms include those that occur in the local density approximation…

Computational Physics · Physics 2015-04-21 Valentin V. Karasiev , Debajit Chakraborty , S. B. Trickey

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

We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three dimensional periodic systems in second-order M{\o}ller-Plesset perturbation theory (MP2). In particular we…

Chemical Physics · Physics 2018-02-12 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

In recent work, generalized gradient approximations (GGA's) have been constructed from the energy density of the Airy gas for exchange but not for correlation. We report the random phase approximation (RPA) conventional correlation energy…

Materials Science · Physics 2009-06-30 Lucian A. Constantin , Adrienn Ruzsinszky , John P. Perdew

Accurate theoretical prediction of the band offsets at interfaces of semiconductor heterostructures can often be quite challenging. Although density functional theory has been reasonably successful to carry out such calculations and…

The uniform electron gas and the hydrogen atom play fundamental roles in condensed matter physics and quantum chemistry. The former has an infinite number of electrons uniformly distributed over the neutralizing positively-charged…

Chemical Physics · Physics 2016-06-22 Jianwei Sun , John P. Perdew , Zenghui Yang , Haowei Peng

We present an accurate implementation of total energy calculations into the local density approximation plus dynamical mean-field theory (LDA+DMFT) method. The electronic structure problem is solved through the full potential linear…

Strongly Correlated Electrons · Physics 2009-03-16 I. Di Marco , J. Minár , S. Chadov , M. I. Katsnelson , H. Ebert , A. I. Lichtenstein

We present a low-complexity algorithm to calculate the correlation energy of periodic systems in second-order M\o ller-Plesset perturbation theory (MP2). In contrast to previous approximation-free MP2 codes, our implementation possesses a…

Chemical Physics · Physics 2017-03-16 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

Transition-metal compounds (TMCs) with open-shell d-electrons are characterized by a complex interplay of lattice, charge, orbital, and spin degrees of freedom, giving rise to a diverse range of fascinating applications. Often exhibiting…

Materials Science · Physics 2025-03-19 Yubo Zhang , Akilan Ramasamy , Kanun Pokharel , James W. Furness , Jinliang Ning , Ruiqi Zhang , Jianwei Sun