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The combination of density functional theory with other approaches to the many-electron problem through the separation of the electron-electron interaction into a short-range and a long-range contribution is a promising method, which is…

材料科学 · 物理学 2009-11-11 Paola Gori-Giorgi , Andreas Savin

We introduce an approximation to the short-range correlation energy functional with multide-terminantal reference involved in a variant of range-separated density-functional theory. This approximation is a local functional of the density,…

化学物理 · 物理学 2019-03-27 Anthony Ferté , Emmanuel Giner , Julien Toulouse

Range-separated density-functional theory is an alternative approach to Kohn-Sham density-functional theory. The strategy of range-separated density-functional theory consists in separating the Coulomb electron-electron interaction into…

化学物理 · 物理学 2015-02-20 Odile Franck , Bastien Mussard , Eleonora Luppi , Julien Toulouse

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

化学物理 · 物理学 2020-10-28 Andreas Savin

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

化学物理 · 物理学 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

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 combine density-functional theory with density-matrix functional theory to get the best of both worlds. This is achieved by range separation of the electronic interaction which permits to rigorously combine a short-range density…

化学物理 · 物理学 2015-05-19 Daniel R. Rohr , Julien Toulouse , Katarzyna Pernal

A rigorous derivation of the density functional in the Hohenberg-Kohn theory is presented. With no assumption regarding the magnitude of the electric coupling constant $e^2$ (or correlation), this work provides a firm basis for…

其他凝聚态物理 · 物理学 2010-09-20 Yi-Kuo Yu

The alternative separation of exchange and correlation energies proposed by Toulouse et al. [Theor. Chem. Acc. 114, 305 (2005)] is explored in the context of multi-configuration range-separated density-functional theory. The new…

An alternative separation of short-range exchange and correlation energies is used in the framework of second-order range-separated density-functional perturbation theory. This alternative separation was initially proposed by Toulouse et…

Range-separated methods combining a short-range density functional with long-range random phase approximations RPAs with or without exchange response kernel are tested on rare-gas dimers and the S22 benchmark set of weakly interacting…

化学物理 · 物理学 2014-04-10 Wuming Zhu , Julien Toulouse , Andreas Savin , János G. Angyán

We investigate the performance of the range-separated hybrid (RSH) scheme, which combines long-range Hartree-Fock (HF) and a short-range density-functional approximation (DFA), for calculating photoexcitation/photoionization spectra of the…

化学物理 · 物理学 2019-07-24 Felipe Zapata , Eleonora Luppi , Julien Toulouse

A two-electron one-dimensional model of a heteroatomic molecule composed of two open-shell atoms is considered. Including only two electrons isolates and examines the effect that the highest occupied molecular orbital has on the Kohn-Sham…

材料科学 · 物理学 2010-03-22 David G. Tempel , Todd J. Martinez , Neepa T. Maitra

We present a rigorous framework that combines single-particle Green's function theory with density functional theory based on a separation of electron-electron interactions into short-range and long-range components. Short-range…

化学物理 · 物理学 2018-06-07 Alexei A. Kananenka , Dominika Zgid

As shown by Overhauser and others, accurate pair densities for the uniform electron gas may be found by solving a two-electron scattering problem with an effective screened electron-electron repulsion. In this work we explore the extension…

材料科学 · 物理学 2009-11-10 Paola Gori-Giorgi , Andreas Savin

A range-separated double-hybrid (RSDH) scheme which generalizes the usual range-separated hybrids and double hybrids is developed. This scheme consistently uses a two-parameter Coulomb-attenuating-method (CAM)-like decomposition of the…

化学物理 · 物理学 2018-05-23 Cairedine Kalai , Julien Toulouse

Motivated by recent suggestions --to split the electron-electron interaction into a short-range part, to be treated within the density functional theory, and a long-range part, to be handled by other techniques-- we compute, with a…

材料科学 · 物理学 2009-11-10 Lorenzo Zecca , Paola Gori-Giorgi , Saverio Moroni , Giovanni B. Bachelet

A rigorous derivation of the density functional via the effective action in the Hohenberg-Kohn theory is outlined. Using the auxiliary field method, in which the electric coupling constant $e^2$ need not be small, we show that the loop…

其他凝聚态物理 · 物理学 2009-09-22 Yi-Kuo Yu

A range-separation of the Coulomb hole into two components, one of them being predominant at long interelectronic separations (hcI ) and the other at short distances (hcII ), is exhaustively analyzed throughout various examples that put…

We model the Hartree-exchange-correlation potential of Kohn-Sham density-functional theory adopting a novel strategy inspired by the strictly-correlated-electrons limit and relying on the exact decomposition of the potential based on the…

化学物理 · 物理学 2024-09-09 Sara Giarrusso , Federica Agostini
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