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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 extend the capabilities of correlation energy functionals based on the adiabatic-connection fluctuation-dissipation theorem by implementing the analytical atomic forces within the random phase approximation (RPA), in the context of plane…

材料科学 · 物理学 2026-03-19 Damian Contant , Maria Hellgren

LibRPA is a software package designed for efficient calculations of random phase approximation (RPA) electron correlation energies from first principles using numerical atomic orbital (NAOs). Leveraging a localized resolution of identity…

材料科学 · 物理学 2024-07-30 Rong Shi , Min-Ye Zhang , Peize Lin , Lixin He , Xinguo Ren

We present an efficient implementation of the random phase approximation (RPA) for molecular systems within the domain-based local pair natural orbital (DLPNO) framework. With optimized parameters, DLPNO-RPA achieves approximately 99.9%…

化学物理 · 物理学 2025-08-18 Yu Hsuan Liang , Xing Zhang , Garnet Kin-Lic Chan , Timothy C. Berkelbach , Hong-Zhou Ye

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

Recently there has been a renewed interest in the calculation of exact-exchange and RPA correlation energies for realistic systems. These quantities are main ingredients of the so-called EXX/RPA+ scheme which has been shown to be a…

材料科学 · 物理学 2009-07-22 Huy-Viet Nguyen , Stefano de Gironcoli

The adiabatic connection fluctuation-dissipation theorem with the random phase approximation (RPA) has recently been applied with success to obtain correlation energies of a variety of chemical and solid state systems. The main merit of…

材料科学 · 物理学 2015-03-20 Thomas Olsen , Kristian S. Thygesen

We assess the performance of a recently proposed renormalized adiabatic local density approximation (rALDA) for \textit{ab initio} calculations of electronic correlation energies in solids and molecules. The method is an extension of the…

材料科学 · 物理学 2014-05-30 Thomas Olsen , Kristian S. Thygesen

We present a real-space method for computing the random phase approximation (RPA) correlation energy within Kohn-Sham density functional theory, leveraging the low-rank nature of the frequency-dependent density response operator. In…

计算物理 · 物理学 2025-04-03 Boqin Zhang , Shikhar Shah , John E. Pask , Edmond Chow , Phanish Suryanarayana

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) 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

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

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

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…

The random phase approximation (RPA) as formulated as an orbital-dependent, fifth-rung functional within the density functional theory (DFT) framework offers a promising approach for calculating the ground-state energies and the derived…

计算物理 · 物理学 2023-07-25 Rong Shi , Peize Lin , Min-Ye Zhang , Lixin He , Xinguo Ren

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

Starting from the general expression for the ground state correlation energy in the adiabatic connection fluctuation dissipation theorem (ACFDT) framework, it is shown that the dielectric matrix formulation, which is usually applied to…

化学物理 · 物理学 2016-04-25 Bastien Mussard , Dario Rocca , Georg Jansen , Janos Angyan

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 optimized effective potential (OEP) method presents an unambiguous way to construct the Kohn-Sham potential corresponding to a given diagrammatic approximation for the exchange-correlation functional. The OEP from the random-phase…

材料科学 · 物理学 2023-07-18 Stefan Riemelmoser , Merzuk Kaltak , Georg Kresse

The Random Phase and Amplitude Formalism (RPA) has significantly extended the scope of weak turbulence studies. Because RPA does not assume any proximity to the Gaussianity in the wavenumber space, it can predict, for example, how the…

混沌动力学 · 物理学 2014-01-15 Mitsuhiro Tanaka , Naoto Yokoyama
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