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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

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 discuss that in the random phase approximation (RPA) the first derivative of the energy with respect to the Green's function is the self-energy in the GW approximation. This relationship allows us to derive compact equations for the RPA…

化学物理 · 物理学 2017-03-22 Benjamin Ramberger , Tobias Schäfer , Georg Kresse

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

Electronic correlation energies from the random-phase approximation converge slowly with respect to the plane wave basis set size. We study the conditions, under which a short-range local density functional can be used to account for the…

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

We performed density functional calculations to estimate the formation energies of intermetallic alloys. We used two semilocal approximations, the generalized gradient approximation (GGA) by Perdew-Burke-Ernzerhof (PBE) and the strongly…

材料科学 · 物理学 2020-11-25 Niraj K. Nepal , Santosh Adhikari , Bimal Neupane , Adrienn Ruzsinszky

We develop a scheme to exactly evaluate the correlation energy in the random-phase approximation, based on linear response theory. It is demonstrated that our formula is completely equivalent to a contour integral representation recently…

核理论 · 物理学 2009-10-31 Y. R. Shimizu , P. Donati , R. A. Broglia

We report an improved implementation for evaluating the analytical gradients of the random phase approximation (RPA) electron-correlation energy based on atomic orbitals and the localized resolution of identity scheme. The more efficient…

材料科学 · 物理学 2024-04-17 Muhammad N. Tahir , Honghui Shang , Jia Li , Xinguo Ren

The accurate computation of non-linear optical properties (NLOPs) in large polymers requires accounting for electronic correlation effects with a reasonable computational cost. The Random Phase Approximation (RPA) used in the adiabatic…

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

We propose a general approach to reducing basis set incompleteness error in electron correlation energy calculations. The correction is computed alongside the correlation energy in a single calculation by modifying the electron interaction…

The random phase approximation (RPA) has emerged as a prominent first-principles method in material science, particularly to study the adsorption and chemisorption of small molecules on surfaces. However, its widespread application is…

We introduce the alchemical harmonic approximation (AHA) of the absolute electronic energy for charge-neutral iso-electronic diatomics at fixed interatomic distance $d_0$. To account for variations in distance, we combine AHA with this…

化学物理 · 物理学 2024-12-10 Simon León Krug , Danish Khan , O. Anatole von Lilienfeld

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

With a transcorrelated Hamiltonian, we perform a many body perturbation (MBPT) calculation on the uniform electron gas in the high density regime. By using a correlation factor optimised for a single determinant Jastrow ansatz, the second…

计算物理 · 物理学 2024-06-19 Hongjun Luo , Ali Alavi

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

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

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

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 present a new density-functional method of the self-consistent electronic-structure calculation which does not exploit any local density approximations (LDA). We use the exchange-correlation energy which consists of the exact exchange…

统计力学 · 物理学 2009-10-30 Takao Kotani