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相关论文: Coulomb exchange functional with generalized gradi…

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We introduce a novel non-local ingredient for the construction of exchange density functionals: the reduced Hartree parameter, which is invariant under the uniform scaling of the density and represents the exact exchange enhancement factor…

其他凝聚态物理 · 物理学 2016-09-04 L. A. Constantin , E. Fabiano , F. Della Sala

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…

材料科学 · 物理学 2017-04-12 Subrata Jana , Prasanjit samal

We introduce a computationally efficient screening for the Coulomb potential that also allows calculating approximated long-range exact exchange contributions with an accuracy similar to an explicit full-range evaluation of the exact…

材料科学 · 物理学 2025-05-06 Sebastian Kokott , Volker Blum , Matthias Scheffler

The $GW$ method for calculating quasi-particle energies of solids commonly begin from a DFT Hamiltonian and Kohn-Sham orbitals in a plane wave basis. Screening of the coulomb interaction is implemented using the inverse dielectric function…

材料科学 · 物理学 2026-05-20 Charles H. Patterson

We evaluate the accuracy of electron densities and quasiparticle energy gaps given by hybrid functionals by directly comparing these to the exact quantities obtained from solving the many-electron Schrodinger equation. We determine the…

材料科学 · 物理学 2021-01-15 A. R. Elmaslmane , Jack Wetherell , M. J. P. Hodgson , K. P. McKenna , R. W. Godby

We report density-functional studies of several small molecules ($H_{2}, N_{2}, CO, H_{2}O$, and $CH_{4}$) within the Krieger-Li-Iafrate (KLI) approximation to the exact Kohn-Sham local exchange potential, using a three-dimensional…

化学物理 · 物理学 2009-10-31 Yong-Hoon Kim , Martin Städele , Richard M. Martin

Exact (Hartree Fock) exchange is needed to overcome some of the limitations of local and semilocal approximations of density functional theory (DFT). So far, however, computational cost has limited the use of exact exchange in plane wave…

强关联电子 · 物理学 2009-11-13 Xifan Wu , Annabella Selloni , Roberto Car

A fully self-consistent microscopic framework for evaluation of nuclear weak-interaction rates at finite temperature is introduced, based on Skyrme functionals. The single-nucleon basis and the corresponding thermal occupation factors of…

核理论 · 物理学 2010-02-26 N. Paar , G. Colo , E. Khan , D. Vretenar

We show how one can construct \alert{a simple} exchange functional by extending the well-know local-density approximation (LDA) to finite uniform electron gases. This new generalized local-density approximation (GLDA) functional uses only…

化学物理 · 物理学 2017-05-01 Pierre-François Loos

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…

化学物理 · 物理学 2012-05-04 Jianwei Sun , Bing Xiao , Adrienn Ruzsinszky

Kohn-Sham density functional theory (DFT) is nowadays widely used for electronic structure theory simulations, and the accuracy and efficiency of DFT rely on approximations of the exchange-correlation functional. By inclusion of the kinetic…

材料科学 · 物理学 2023-06-01 Renxi Liu , Daye Zheng , Xinyuan Liang , Xinguo Ren , Mohan Chen , Wenfei Li

Following a recent work [Gal, Phys. Rev. A 64, 062503 (2001)], a simple derivation of the density-functional correction of the Hartree-Fock equations, the Hartree-Fock-Kohn-Sham equations, is presented, completing an integrated view of…

化学物理 · 物理学 2008-09-11 Tamas Gal

Using the methodology of conditional-probability density functional theory, and several mild assumptions, we calculate the temperature-dependence of the Perdew-Burke-Ernzerhof (PBE) generalized gradient approximation (GGA). This…

化学物理 · 物理学 2023-08-17 John Kozlowski , Dennis Perchak , Kieron Burke

We report on a methodology for the treatment of the Coulomb energy and potential in Kohn-Sham density functional theory that is free from self-interaction effects. Specifically, we determine the Coulomb potential given as the functional…

材料科学 · 物理学 2016-06-29 M. Däne , A. Gonis , D. M. Nicholson , G. M. Stocks

The exchange-correlation (XC) functional in density functional theory is used to approximate multi-electron interactions. A plethora of different functionals is available, but nearly all are based on the hierarchy of inputs commonly…

The accuracy of bulk property predictions in density functional theory (DFT) calculations depends on the choice of exchange-correlation functional. While the Perdew-Burke-Ernzerhof (PBE) functional systematically overestimates lattice…

Ab initio many-body perturbation theory within the $GW$ approximation is a Green's function formalism widely used in the calculation of quasiparticle excitation energies of solids. In what has become an increasingly standard approach,…

Density functionals with a range-separated treatment of the exchange energy are known to improve upon their semilocal forerunners and fixed-fraction hybrids. The conversion of a given semilocal functional into its short-range analog is not…

化学物理 · 物理学 2019-09-09 Dimitri N. Laikov

In the present work, we revisit the problem of the inhomogeneous electron gas under the influence of a weak external potential, which allows us to calculate the gradient corrections to the density functional within linear response, an…

材料科学 · 物理学 2026-02-03 Mario Benites , Angel Rosado , Efstratios Manousakis

We use fully self-consistent GW calculations on diamond and silicon carbide to reparametrize the Heyd-Scuseria-Ernzerhof exact exchange density functional for use in band structure calculations of semiconductors and insulators. We show that…

介观与纳米尺度物理 · 物理学 2015-08-05 V. Zólyomi , J. Kürti