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In wavefunction-based $\textit{ab-initio}$ quantum mechanical calculations, achieving absolute convergence with respect to the one-electron basis set is a long-standing challenge. In this work, using the random phase approximation (RPA)…

材料科学 · 物理学 2025-10-17 Hao Peng , Xinguo Ren

Attaining a reliable complete basis set (CBS) limit remains a significant challenge in ab initio correlated electronic-structure calculations. Building on our previous work for atoms and diatomic molecules, we present a finite-element (FE)…

材料科学 · 物理学 2026-03-30 Hao Peng , Haochen Liu , Chuhao Li , Hehu Xie , Xinguo Ren

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 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 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

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 extend to strongly correlated molecular systems the recently introduced basis-set incompleteness correction based on density-functional theory (DFT) [E. Giner et al., J. Chem. Phys. 149, 194301 (2018)]. This basis-set correction relies…

化学物理 · 物理学 2020-05-20 Emmanuel Giner , Anthony Scemama , Pierre-François Loos , Julien Toulouse

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

We recently introduced an efficient methodology to perform density-corrected Hartree-Fock density functional theory (DC(HF)-DFT) calculations and an extension to it we called "corrected" HF DFT (C(HF)-DFT). In this work, we take a further…

化学物理 · 物理学 2023-11-10 Daniel Graf , Alex J. W. Thom

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 self-consistent random phase approximation (RPA) based on a correlated realistic nucleon-nucleon interaction is used to evaluate correlation energies in closed-shell nuclei beyond the Hartree-Fock level. The relevance of contributions…

核理论 · 物理学 2007-05-23 C. Barbieri , N. Paar , R. Roth , P. Papakonstantinou

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

Kohn-Sham density functional theory (DFT) is the standard method for first-principles calculations in computational chemistry and materials science. More accurate theories such as the random-phase approximation (RPA) are limited in…

材料科学 · 物理学 2023-10-25 Stefan Riemelmoser , Carla Verdi , Merzuk Kaltak , Georg Kresse

We demonstrate that ground state energies approaching chemical accuracy can be obtained by combining the adiabatic connection fluctuation-dissipation theorem (ACFDT) with time-dependent density functional theory (TDDFT). The key ingredient…

材料科学 · 物理学 2014-05-29 Thomas Olsen , Kristian S. Thygesen

The Atom-Calibrated Basis-set Extrapolation (ACBE) method is introduced as a robust approach for extrapolating MP2 correlation energies from small basis sets. Unlike conventional extrapolation techniques, ACBE incorporates system- and…

化学物理 · 物理学 2025-04-07 E. Fabiano , F. Della Sala

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…

化学物理 · 物理学 2026-02-06 Neung-Kyung Yu , Johannes Voss , Andrew J. Medford

In this paper, an alternative method to range-separated linear-response time-dependent density-functional theory and perturbation theory is proposed to improve the estimation of the energies of a physical system from the energies of a…

化学物理 · 物理学 2015-06-24 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

In a previous contribution (Mol. Phys. {\bf 103}, xxxx, 2005), we established the suitability of density functional theory (DFT) for the calculation of molecular anharmonic force fields. In the present work, we have assessed a wide variety…

化学物理 · 物理学 2007-05-23 A. Daniel Boese , Wim Klopper , Jan M. L. Martin

The adsorption energy of benzene on various metal substrates is predicted using the random phase approximation (RPA) for the correlation energy. Agreement with available experimental data is systematically better than 10% for both coinage…

化学物理 · 物理学 2017-11-29 J. A. Garrido Torres , B. Ramberger , H. Früchtl , R. Schaub , G. Kresse
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