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With increasing inter-electronic distance, the screening of the electron-electron interaction by the presence of other electrons becomes the dominant source of electron correlation. This effect is described by the random phase approximation…

化学物理 · 物理学 2022-09-29 Arno Förster

The random phase approximation (RPA) is exact for the exchange energy of a many-electron ground state, but RPA makes the correlation energy too negative by about 0.5 eV/electron. That large short-range error, which tends to cancel out of…

计算物理 · 物理学 2020-06-24 Tim Gould , Adrienn Ruzsinszky , John P. Perdew

The random phase approximation (RPA) for the electron correlation energy, combined with the exact-exchange energy, represents the state-of-the-art exchange-correlation functional within density-functional theory (DFT). However, the standard…

其他凝聚态物理 · 物理学 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

The Random Phase Approximation (RPA) is a widely employed post Hartree-Fock or DFT method, capable of capturing van der Waal interactions and other dynamic correlation effects at relatively low costs of $\mathcal O(N^3)$ in time and…

材料科学 · 物理学 2015-09-02 Felix Hummel

The random-phase approximation with second-order screened exchange (RPA+SOSEX) is a model of electron correlation energy with two caveats: its accuracy depends on an arbitrary choice of mean field, and it scales as $\mathcal{O}(n^5)$…

材料科学 · 物理学 2014-01-16 Jonathan E. Moussa

The random-phase approximation to the ground state correlation energy (RPA) in combination with exact exchange (EX) has brought Kohn-Sham (KS) density functional theory one step closer towards a universal, "general purpose first principles…

The many-body theory of interacting electrons poses an intrinsically difficult problem that requires simplifying assumptions. For the determination of electronic screening properties of the Coulomb interaction, the Random Phase…

强关联电子 · 物理学 2021-07-26 Erik G. C. P. van Loon , Malte Rösner , Mikhail I. Katsnelson , Tim O. Wehling

With the aim of constructing an electronic structure approach that systematically goes beyond the GW and random phase approximation (RPA) we introduce a vertex correction based on the exact-exchange (EXX) potential of time-dependent density…

材料科学 · 物理学 2018-07-16 Maria Hellgren , Nicola Colonna , Stefano de Gironcoli

We derive the normal and anomalous proper polarization functions and the screened Coulomb interactions in a two-dimensional superfluid electron-hole bilayer, including all first-order corrections beyond the Random Phase Approximation (RPA).…

强关联电子 · 物理学 2025-10-29 Filippo Pascucci , Stefania De Palo , Sara Conti , David Neilson , Andrea Perali , Gaetano Senatore

We consider several spin-unrestricted random-phase approximation (RPA) variants for calculating correlation energies, with and without range separation, and test them on datasets of atomization energies and reaction barrier heights. We show…

化学物理 · 物理学 2016-03-01 Bastien Mussard , Peter Reinhardt , Janos Angyan , Julien Toulouse

The relative energies of different phases or polymorphs of molecular solids can be small, less than a kiloJoule/mol. Reliable description of such energy differences requires high quality treatment of electron correlations, typically beyond…

化学物理 · 物理学 2024-02-19 Khanh Ngoc Pham , Marcin Modrzejewski , Jiří Klimeš

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…

材料科学 · 物理学 2009-06-30 Lucian A. Constantin , Adrienn Ruzsinszky , John P. Perdew

We explore several random phase approximation (RPA) correlation energy variants within the adiabatic-connection fluctuation-dissipation theorem approach. These variants differ in the way the exchange interactions are treated. One of these…

化学物理 · 物理学 2014-04-08 János G. Angyán , Ru-Fen Liu , Julien Toulouse , Georg Jansen

The random phase approximation (RPA) has received a considerable interest in the field of modeling systems where noncovalent interactions are important. Its advantages over widely used density functional theory (DFT) approximations are the…

化学物理 · 物理学 2019-12-04 Marcin Modrzejewski , Sirous Yourdkhani , Jiri Klimes

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

其他凝聚态物理 · 物理学 2009-11-13 Hong Jiang , Eberhard Engel

The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of…

材料科学 · 物理学 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

The Random Phase Approximation (RPA) for total energies has previously been shown to provide a qualitatively correct description of static correlation in molecular systems, where density functional theory (DFT) with local functionals are…

材料科学 · 物理学 2017-09-27 Thomas Olsen

Developing theoretical understanding of complex reactions and processes at interfaces requires using methods that go beyond semilocal density functional theory to accurately describe the interactions between solvent, reactants and…

We determine the correlation energy of BN, SiO$_2$ and ice polymorphs employing a recently developed RPAx (random phase approximation with exchange) approach. The RPAx provides larger and more accurate polarizabilities as compared to the…

材料科学 · 物理学 2021-09-22 Maria Hellgren , Lucas Baguet

We formulate an adiabatic connection for the exchange-correlation energy in terms of pairing matrix fluctuation. This connection opens new channels for density functional approximations based on pairing interactions. Even the simplest…

化学物理 · 物理学 2015-06-16 Helen van Aggelen , Yang Yang , Weitao Yang
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