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相关论文: Dissociation limit of the H2 molecule in the parti…

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Self-consistent correlation potentials for H$_2$ and LiH for various inter-atomic separations are obtained within the random phase approximation (RPA) of density functional theory. The RPA correlation potential shows a peak at the bond…

化学物理 · 物理学 2015-05-30 M. Hellgren , D. R. Rohr , E. K. U. Gross

We propose a novel approach to electron correlation for multireference systems. It is based on particle-hole (ph) and particle-particle (pp) theories in the second-order, developed in the random phase approximation (RPA) framework for…

化学物理 · 物理学 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

We investigate various approximations to the correlation energy of a H$_2$ molecule in the dissociation limit, where the ground state is poorly described by a single Slater determinant. The correlation energies are derived from the density…

强关联电子 · 物理学 2014-05-06 Thomas Olsen , Kristian S. Thygesen

The random phase approximation (RPA) to the correlation energy is extended to fractional occupations and its performance examined for exact conditions on fractional charges and fractional spins. RPA satisfies the constancy condition for…

其他凝聚态物理 · 物理学 2009-03-26 Paula Mori-Sánchez , Aron J. Cohen , Weitao Yang

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

Double excitations are crucial to understanding numerous chemical, physical, and biological processes, but accurately predicting them remains a challenge. In this work, we explore the particle-particle random phase approximation (ppRPA) as…

化学物理 · 物理学 2024-11-26 Jincheng Yu , Jiachen Li , Tianyu Zhu , Weitao Yang

We investigate static correlation and delocalization errors in the self-consistent GW and random-phase approximation (RPA) by studying molecular dissociation of the H_2 and LiH molecules. Although both approximations contain topologically…

We present a method to approximate post-Hartree-Fock correlation energies by using approximate natural orbitals obtained by the random phase approximation (RPA). We demonstrate the method by applying it to the helium atom, the hydrogen and…

化学物理 · 物理学 2021-03-22 Benjamin Ramberger , Zoran Sukurma , Tobias Schäfer , Georg Kresse

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

We present a comparative study of particle-hole and particle-particle channels of random-phase approximation (RPA) for molecular dissociations of different bonding types. We introduced a \textit{direct} particle-particle RPA scheme, in…

材料科学 · 物理学 2019-06-05 Muhammad N. Tahir , Xinguo Ren

The accurate description of electron correlation and excitation energies remains a fundamental challenge in quantum chemistry. The particle-particle random phase approximation (ppRPA) has emerged as a promising method for capturing a broad…

化学物理 · 物理学 2025-12-16 Jincheng Yu , Jiachen Li , Chaoqun Zhang , Tianyu Zhu , Weitao Yang

We explore different variants of the random phase approximation (RPA) to the correlation energy derived from closed-shell ring-diagram approximations to coupled cluster doubles theory. We implement these variants in range-separated…

化学物理 · 物理学 2011-09-01 Julien Toulouse , Wuming Zhu , Andreas Savin , Georg Jansen , János G. Angyán

In a recent article [Phys. Rev. B 90, 125102 (2014)] we showed that the random phase approximation with exchange (RPAx) gives accurate total energies for a diverse set of systems including the high and low density regime of the homogeneous…

强关联电子 · 物理学 2016-05-11 Nicola Colonna , Maria Hellgren , Stefano de Gironcoli

The direct random-phase approximation (dRPA) is used to calculate and compare atomization energies for the HEAT set and 10 selected molecules of the G2-1 set using both plane waves and Gaussian-type orbitals. We describe detailed procedures…

We consider the dissociation limit for molecules of the type $X_2$ in the Kohn-Sham density functional theory setting, where $X$ can be any element with $N$ electrons. We prove that when the two atoms in the system are torn infinitely far…

数学物理 · 物理学 2021-07-29 Sören Behr , Benedikt R. Graswald

A fast method is developed for calculating the Random-Phase-Approximation (RPA) correlation energy for density functional theory. The correlation energy is given by a trace over a projected RPA response matrix and the trace is taken by a…

化学物理 · 物理学 2013-01-01 Daniel Neuhauser , Eran Rabani , Roi Baer

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

We report the successful adaptation of the quasi-boson approximation, a technique traditionally employed in nuclear physics, to the analysis of the two-dimensional electron gas. We show that the correlation energy estimated from this…

强关联电子 · 物理学 2025-05-05 Tobias M. R. Wolf , Chunli Huang

The particle-particle random phase approximation (ppRPA) within the hole-hole channel was recently proposed as an efficient tool for computing excitation energies of point defects in solids [J. Phys. Chem. Lett. 2024, 15, 2757-2764]. In…

化学物理 · 物理学 2024-06-27 Jiachen Li , Yu Jin , Jincheng Yu , Weitao Yang , Tianyu Zhu

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
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