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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…

Chemical Physics · Physics 2023-11-10 Daniel Graf , Alex J. W. Thom

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…

Materials Science · Physics 2021-09-22 Maria Hellgren , Lucas Baguet

Selecting excitations in localized orbitals to calculate long-range correlation contributions to range-separated density-functional theory can reduce the overall computational effort significantly. Beyond simple selection schemes of excited…

Chemical Physics · Physics 2016-02-29 E Chermak , Peter Reinhardt , Bastien Mussard , Janos Angyan

The Gaussian expansion method (GEM) is extensively applied to the calculations in the random-phase approximation (RPA). We adopt the mass-independent basis-set that has been tested in the mean-field calculations. By comparing the RPA…

Nuclear Theory · Physics 2015-05-13 H. Nakada , K. Mizuyama , M. Yamagami , M. Matsuo

Covariant density functional theory, in the framework of self-consistent Relativistic Mean Field (RMF) and Relativistic Random Phase approximation (RPA), is for the first time applied to axially deformed nuclei. The fully self-consistent…

Nuclear Theory · Physics 2009-09-15 D. Pena Arteaga , P. Ring

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…

Materials Science · Physics 2024-07-30 Rong Shi , Min-Ye Zhang , Peize Lin , Lixin He , Xinguo Ren

The random phase approximation (RPA) and the $GW$ approximation share the same total energy functional but RPA is defined on a restricted domain of Green's functions determined by a local Kohn-Sham (KS) potential. In this work, we perform…

Materials Science · Physics 2025-08-26 Thomas Pitts , Damian Contant , Maria Hellgren

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…

Strongly Correlated Electrons · Physics 2016-05-11 Nicola Colonna , Maria Hellgren , Stefano de Gironcoli

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

Statistical Mechanics · Physics 2016-06-15 Derek Frydel , Manman Ma

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…

Chemical Physics · Physics 2015-06-16 Helen van Aggelen , Yang Yang , Weitao Yang

With the aim of constructing an electronic structure approach that systematically goes beyond the GW and random phase approximation (RPA) we introduce a vertex correction based on the exact-exchange (EXX) potential of time-dependent density…

Materials Science · Physics 2018-07-16 Maria Hellgren , Nicola Colonna , Stefano de Gironcoli

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…

Chemical Physics · Physics 2013-01-01 Daniel Neuhauser , Eran Rabani , Roi Baer

A microscopic formalism is developed that includes the coupling to two particle-hole phonons in the particle-hole propagator by extending the dressed random phase approximation (DRPA) equation for a finite system. The resulting formalism is…

Nuclear Theory · Physics 2016-09-08 C. Barbieri , W. H. Dickhoff

The RPA long range correlations are known to play a significant role in understanding the depletion of single particle-hole states observed in (e, e') and (e, e'p) measurements. Here the Random Phase Approximation (RPA) theory, implemented…

Nuclear Theory · Physics 2009-11-11 M. Dupuis , S. Karataglidis , E. Bauge , J. P. Delaroche , D. Gogny

The Random Phase Approximation (RPA) and its variations and extensions are, without any doubt, the most widely used tools to describe Giant Resonances within a microscopic theory. In this chapter, we will start by discussing how RPA comes…

Nuclear Theory · Physics 2022-01-13 Gianluca Colo'

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…

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…

Chaotic Dynamics · Physics 2014-01-15 Mitsuhiro Tanaka , Naoto Yokoyama

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…

Chemical Physics · Physics 2015-05-30 M. Hellgren , D. R. Rohr , E. K. U. Gross

The longitudinal and transverse nuclear responses to inclusive electron scattering reactions are analyzed within the Random Phase Approximation (RPA) framework. Several residual interactions are considered and it is shown that the exchange…

Nuclear Theory · Physics 2008-11-26 E. Bauer , A. Polls , A. Ramos

Starting from the Random Phase Approximation (RPA), we generalize the schematic model of separable interaction defning subspaces of ph excitations with different coupling constants between them. This ansatz simplifies the RPA eigenvalue…

Atomic and Molecular Clusters · Physics 2016-08-24 D. I. Palade , V. Baran