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We developed an efficient active-space particle-particle random phase approximation (ppRPA) approach to calculate accurate charge-neutral excitation energies of molecular systems. The active-space ppRPA approach constrains both indexes in…

Chemical Physics · Physics 2023-09-29 Jiachen Li , Jincheng Yu , Zehua Chen , Weitao Yang

We present an efficient particle-particle random phase approximation (ppRPA) approach that predicts accurate excitation energies of point defects, including the nitrogen-vacancy (NV$^-$) and the silicon-vacancy (SiV$^0$) centers in diamond…

Chemical Physics · Physics 2024-03-13 Jiachen Li , Yu Jin , Jincheng Yu , Weitao Yang , Tianyu Zhu

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…

Chemical Physics · Physics 2025-12-16 Jincheng Yu , Jiachen Li , Chaoqun Zhang , Tianyu Zhu , Weitao Yang

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…

Chemical Physics · Physics 2024-06-27 Jiachen Li , Yu Jin , Jincheng Yu , Weitao Yang , Tianyu Zhu

The particle-particle random phase approximation (pp-RPA) has been shown to be capable of describing double, Rydberg, and charge transfer excitations, for which the conventional time-dependent density functional theory (TDDFT) might not be…

Computational Physics · Physics 2017-04-26 Jianfeng Lu , Haizhao Yang

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…

Materials Science · Physics 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

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…

Chemical Physics · Physics 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

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…

Other Condensed Matter · Physics 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

The consistency condition is tested within the particle-particle random-phase approximation (RPA), renormalized RPA (RRPA) and the self-consistent RPA (SCRPA) making use of the Richardson model of pairing. The two-particle separation energy…

Nuclear Theory · Physics 2009-11-11 Nguyen Dinh Dang

The accuracy of calculations of atomic Rydberg excitations cannot be judged by the usual measures, such as mean unsigned errors of many transitions. We show how to use quantum defect theory to (a) separate errors due to approximate…

Chemical Physics · Physics 2016-05-04 Yang Yang , Kieron Burke , Weitao Yang

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…

Chemical Physics · Physics 2019-12-04 Marcin Modrzejewski , Sirous Yourdkhani , Jiri Klimes

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%…

Chemical Physics · Physics 2025-08-18 Yu Hsuan Liang , Xing Zhang , Garnet Kin-Lic Chan , Timothy C. Berkelbach , Hong-Zhou Ye

We present an analytical proof and numerical demonstrations of the equivalence of the correlation energy from particle-particle random phase approximation (pp-RPA) and ladder-couple-cluster-doubles (ladder-CCD). These two theories reduce to…

Chemical Physics · Physics 2013-11-01 Degao Peng , Stephan N. Steinmann , Helen van Aggelen , Weitao Yang

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…

We apply the analytically solvable model of two electrons in two orbitals to diradical molecules, characterized by two unpaired electrons. The effect of the doubly occupied and empty orbitals is taken into account by means of random phase…

Chemical Physics · Physics 2025-11-20 Reza G. Shirazi , Vladimir V. Rybkin , Michael Marthaler , Dmitry S. Golubev

In this work, we consider the particle-hole random phase approximation (phRPA), an approximation to the correlation energy in electronic structure, and show that the phRPA energy of the H2 molecule correctly dissociates. That is, as the…

Analysis of PDEs · Mathematics 2022-10-11 Mi-Song Dupuy , Kyle Thicke

We present an optimized random phase approximation method (optRPA26) that significantly improves upon conventional RPA. The method employs an empirically constructed hybrid functional to generate DFT orbitals to evaluate the RPA correlation…

Chemical Physics · Physics 2026-02-06 Neung-Kyung Yu , Johannes Voss , Andrew J. Medford

The ground-state correlation energy calculated in the random-phase approximation (RPA) is known to be identical to that calculated using a subset of terms appearing in coupled-cluster theory with double excitations. In particular, this…

Chemical Physics · Physics 2019-04-16 Timothy C. Berkelbach

We construct a reference benchmark set for atomic and molecular random-phase-approximation (RPA) correlation energies in a density functional theory (DFT) framework at the complete basis set limit. This set is used to evaluate the accuracy…

Chemical Physics · Physics 2013-02-22 E. Fabiano , F. Della Sala

In the realm of photochemistry, the significance of double excitations (also known as doubly-excited states), where two electrons are concurrently elevated to higher energy levels, lies in their involvement in key electronic transitions…

Chemical Physics · Physics 2024-07-15 Fábris Kossoski , Martial Boggio-Pasqua , Pierre-François Loos , Denis Jacquemin
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