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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…

材料科学 · 物理学 2011-01-14 N. N. Lathiotakis , N. Helbig , E. K. U. Gross

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,…

A long-standing puzzle in density-functional theory is the issue of the long-range behavior of the Kohn-Sham exchange-correlation potential at metal surfaces. As an important step towards its solution, it is proved here, through a rigurouos…

材料科学 · 物理学 2015-05-18 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

In the latest version of the QMC model, QMC$\pi$-III-T, the density functional is improved to include the tensor component quadratic in the spin-current and a pairing interaction derived in the QMC framework. Traditional pairing strengths…

We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors…

化学物理 · 物理学 2010-12-27 Oleg A. Vydrov , Troy Van Voorhis

The accuracy of effective masses predicted by density functional theory depends on the exchange-correlation functional employed, with nonlocal hybrid functionals giving more accurate results than semilocal functionals. In this article, we…

材料科学 · 物理学 2022-08-03 Magdalena Laurien , Oleg Rubel

We investigate the thermal radiation and thermal near-field energy density of a metal-coated semi-infinite body for different substrates. We show that the surface polariton coupling within the metal coating leads to an enhancement of the…

介观与纳米尺度物理 · 物理学 2015-05-27 Svend-Age Biehs

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,…

化学物理 · 物理学 2015-05-18 Amlan K. Roy

In their recent communication [Phys. Rev. Lett., 117, 073001 (2016)] Tao and Mo presented a semi-local density functional derived from the density matrix expansion of the exchange hole localised by a general coordinate transformation. We…

化学物理 · 物理学 2020-07-15 James W Furness , Niladri Sengupta , Jinliang Ning , Adrienn Ruzsinszky , Jianwei Sun

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

化学物理 · 物理学 2024-08-19 Kyle Bystrom , Boris Kozinsky

In [Phys. Rev. B 107, 094433 (2023)], Deng et al. have proposed an electron-muon correlation functional within the context of the two-component density functional theory (TC-DFT) for crystals/molecules containing positively charged muons.…

其他凝聚态物理 · 物理学 2024-04-30 Mohammad Goli , Nahid Sadat Riyahi , Shant Shahbazian

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

核理论 · 物理学 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

We propose a second version of the van der Waals density functional (vdW-DF2) of Dion et al. [Phys. Rev. Lett. 92, 246401 (2004)], employing a more accurate semilocal exchange functional and the use of a large-N asymptote gradient…

材料科学 · 物理学 2010-08-17 Kyuho Lee , Éamonn D. Murray , Lingzhu Kong , Bengt I. Lundqvist , David C. Langreth

Semilocal density functional theory is the most used computational method for electronic structure calculations in theoretical solid-state physics and quantum chemistry of large systems, providing good accuracy with a very attractive…

其他凝聚态物理 · 物理学 2016-03-31 L. A. Constantin , E. Fabiano , J. M. Pitarke , F. Della Sala

The capability of density-functional theory to deal with the ground-state of strongly correlated low-dimensional systems, such as semiconductor quantum dots, depends on the accuracy of functionals developed for the exchange and correlation…

强关联电子 · 物理学 2009-02-25 S. Pittalis , E. Rasanen , C. Proetto , E. K. U. Gross

Deorbitalization of a conventional meta-generalized-gradient exchange-correlation approximation replaces its dependence upon the Kohn-Sham kinetic energy density with a dependence on the density gradient and Laplacian. In principle, that…

材料科学 · 物理学 2026-02-13 H. Francisco , B. Thapa , S. B. Trickey , A. C. Cancio

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…

材料科学 · 物理学 2009-02-20 Jianmin Tao , John P. Perdew , Viktor N. Staroverov , Gustavo E. Scuseria

Within the framework of density functional theory, we present a study of approximations to the enhancement factor of the non-interacting kinetic energy functional $T_s[\rho]$. For this purpose, we employ the model of Liu and Parr [S. Liu…

We develop relativistic short-range exchange energy functionals for four-component relativistic range-separated density-functional theory using a Dirac-Coulomb Hamiltonian in the no-pair approximation. We show how to improve the short-range…

化学物理 · 物理学 2020-06-24 Julien Paquier , Emmanuel Giner , Julien Toulouse

An alternative multipole expansion of the correlation term is derived. Modified spherical Bessel type functions which simplify as a summation of multiple orders of basic trigonometric functions are generated from this new method. We use…

量子物理 · 物理学 2017-04-10 Eric Ouma Jobunga