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相关论文: Accurate ground state- and quasiparticle energies:…

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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 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

In the context of inhomogeneous one-dimensional finite systems, recent numerical advances [Phys. Rev. B 103, 125155 (2021)] allow us to compute the exact coupling-constant dependent exchange-correlation kernel…

材料科学 · 物理学 2021-09-22 Nick D. Woods , Michael T. Entwistle , Rex W. Godby

We investigate the adiabatic approximation to the exact-exchange kernel for calculating correlation energies within the adiabatic-connection fluctuation-dissipation framework of time-dependent density functional theory. A numerical study is…

化学物理 · 物理学 2023-05-12 Maria Hellgren , Lucas Baguet

We express the high-frequency (anti-adiabatic) limit of the exchange-correlation kernels of an inhomogeneous electron gas in terms of the following equilibrium properties: the ground-state density, the kinetic stress tensor, the…

强关联电子 · 物理学 2011-11-17 V. U. Nazarov , I. V. Tokatly , S. Pittalis , G. Vignale

The "ACFD-RPA" correlation energy functional has been widely applied to a variety of systems to successfully predict energy differences, and less successfully predict absolute correlation energies. Here we present a parameter-free…

原子物理 · 物理学 2015-06-11 Tim Gould

We have calculated the correlation energy of the homogeneous electron gas (HEG) and the dissociation energy curves of molecules with covalent bonds from a novel implementation of the adiabatic connection fluctuation dissipation (ACFD)…

强关联电子 · 物理学 2015-06-22 Nicola Colonna , Maria Hellgren , Stefano de Gironcoli

The random-phase approximation (RPA) formulated within the adiabatic connection fluctuation-dissipation framework is a powerful approach to compute the ground-state energies and properties of molecules and materials. Its overall…

化学物理 · 物理学 2025-05-13 Muhammad N. Tahir , Honghui Shang , Xinguo Ren

We present calculations of the correlation energies of crystalline solids and isolated systems within the adiabatic-connection fluctuation-dissipation formulation of density-functional theory. We perform a quantitative comparison of a set…

材料科学 · 物理学 2016-07-29 Christopher E. Patrick , Kristian S. Thygesen

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

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

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 exact exchange-correlation (xc) kernel $f_\mathrm{xc}(x,x',\omega)$ of linear response time-dependent density functional theory is computed over a wide range of frequencies, for three canonical one-dimensional finite systems. Methods…

材料科学 · 物理学 2021-04-07 N. D. Woods , M. T. Entwistle , R. W. Godby

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 performance of several common approximations for the exchange-correlation kernel within time-dependent density-functional theory is tested for elementary excitations in the homogeneous electron gas. Although the adiabatic local-density…

材料科学 · 物理学 2007-05-23 Krzysztof Tatarczyk , Arno Schindlmayr , Matthias Scheffler

The random phase approximation (RPA) is exact for the exchange energy of a many-electron ground state, but RPA makes the correlation energy too negative by about 0.5 eV/electron. That large short-range error, which tends to cancel out of…

计算物理 · 物理学 2020-06-24 Tim Gould , Adrienn Ruzsinszky , John P. Perdew

In this work we consider a numerically solvable model of a two-electron diatomic molecule to study a recently proposed approximation based on the density-functional theory of so-called strictly correlated electrons (SCE). We map out the…

强关联电子 · 物理学 2019-02-13 Luis Cort , Soeren Ersbak Bang Nielsen , Robert van Leeuwen

We study non-linear adiabatic connection paths in density-functional theory using modified electron-electron interactions that perform a long-range/short-range separation of the Coulomb interaction. These adiabatic connections allows to…

化学物理 · 物理学 2009-11-11 Julien Toulouse , Francois Colonna , Andreas Savin

The GW self-energy method has long been recognized as the gold standard for quasiparticle (QP) calculations of solids in spite of the fact that the neglect of vertex corrections and the use of a DFT starting point lacks rigorous…

材料科学 · 物理学 2017-12-06 Per S. Schmidt , Christopher E. Patrick , Kristian S. Thygesen
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