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A Hartree--Fock analysis of the ground-state electronic structure of the finite spherical jellium model is carried out for systems containing up to $520$ electrons in a positive background field with densities ranging from $10^{-3}$ to $1$.…

材料科学 · 物理学 2025-12-09 Michael Píro , Jaroslav Hamrle

In this paper we analyze how radiation effects influence the correlation functions, the excess energy, and in turn the electron correlation energy of the quantized electron gas at temperature $T=0$. To that aim we resort to a statistical…

统计力学 · 物理学 2020-08-26 Johan S. Høye , Enrique Lomba

The relativistic local density approximation (LDA) for the Coulomb exchange functional in nuclear systems is presented. This approximation is composed of the well-known Slater approximation in the non-relativistic scheme and the corrections…

核理论 · 物理学 2013-04-02 Huai-Qiang Gu , Haozhao Liang , Wen Hui Long , Nguyen Van Giai , Jie Meng

We construct and apply an exchange-correlation functional for the one-dimensional Hubbard model. This functional has built into it the Luttinger-liquid and Mott-insulator correlations, present in the Hubbard model, in the same way in which…

强关联电子 · 物理学 2007-05-23 K. Capelle , N. A. Lima , M. F. Silva , L. N. Oliveira

The flexibility of common generalized gradient approximation for the exchange-correlation energy is investigated by monitoring the equilibrium volume of transition metals. It is shown that no universal gradient-level approximation yielding…

材料科学 · 物理学 2015-06-05 H. Levämäki , L. Vitos , M. P. J. Punkkinen , K. Kokko

The time-dependent local-density approximation (TDLDA) is applied to the optical response of conjugated carbon molecules in the energy range of 0-30 eV, with calculations given for carbon chains, polyenes, retinal, benzene and C_60. The…

原子与分子团簇 · 物理学 2007-05-23 K. Yabana , G. F. Bertsch

Time-dependent density functional theory (TDDFT) within the linear response regime provides a solid mathematical framework to capture excitations. The accuracy of the theory, however, largely depends on the approximations for the…

强关联电子 · 物理学 2023-11-01 Aaron D. Kaplan , Adrienn Ruzsinszky

A still open issue in many-body theory is the asymptotic behavior of the exchange-correlation energy and potential in the vacuum region of a metal surface. Here we report a numerical study of the position-dependent exchange-correlation…

材料科学 · 物理学 2015-05-27 Lucian A. Constantin , J. M. Pitarke

We design a quantum molecular dynamics method for strongly correlated electron metals. The strong electronic correlation effects are treated within a real-space version of the Gutzwiller variational approximation (GA), which is suitable for…

强关联电子 · 物理学 2017-07-12 Jean-Pierre Julien , Joel D. Kress , Jian-Xin Zhu

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

A review of the approximations in any time-dependent density functional calculation of excitation energies is given. The single-pole approximation for the susceptibility is used to understand errors in popular approximations for the…

材料科学 · 物理学 2007-05-23 Kieron Burke , Martin Petersilka , E. K. U. Gross

We show how one can construct \alert{a simple} exchange functional by extending the well-know local-density approximation (LDA) to finite uniform electron gases. This new generalized local-density approximation (GLDA) functional uses only…

化学物理 · 物理学 2017-05-01 Pierre-François Loos

An exchange-correlation energy functional $ E_{\mathrm xc} $ and the resultant exchange-correlation potential $ v_{\mathrm xc}({\bf r}) $ in density-functional theory are proposed using orbital-dependent coupling-constant-averaged pair…

强关联电子 · 物理学 2007-05-23 Hiroshi Yasuhara , Masahiko Higuchi , Yoshiyuki Kawazoe

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

We study model one-dimensional chemical systems (representative of their three-dimensional counterparts) using the strictly-correlated electrons (SCE) functional, which, by construction, becomes asymptotically exact in the limit of infinite…

The DCA$^+$ algortihm was recently introduced to extend the dynamic cluster approximation (DCA) with a continuous lattice self-energy in order to achieve better convergence with cluster size. Here we extend the DCA$^+$ algorithm to the…

强关联电子 · 物理学 2015-06-18 Peter Staar , Thomas Maier , Thomas Schulthess

Collective excitations of rotating dusty plasma are analyzed under the quasi localized charge approximation (QLCA) framework for strongly coupled systems by explicitly accounting for the dust rotation in the analysis. Considering the firm…

等离子体物理 · 物理学 2021-08-12 Prince Kumar , Devendra Sharma

Warm dense matter is a highly active research area both at the frontier and interface of material science and plasma physics. We assess the performance of commonly used exchange-correlation (XC) approximation (LDA, PBE, PBEsol, and AM05) in…

等离子体物理 · 物理学 2022-01-25 Zhandos Moldabekov , Tobias Dornheim , Jan Vorberger , Attila Cangi

We present the self-consistent implementation of current-dependent (hybrid) meta generalized gradient approximation (mGGA) density functionals using London atomic orbitals. A previously proposed generalized kinetic energy density is…

Recent low-temperature scanning tunneling experiments have challenged the generally accepted picture of buckled silicon dimers as the ground state reconstruction of the Si(100) surface. Together with the symmetric dimer model of the surface…

材料科学 · 物理学 2009-11-07 Sorcha B. Healy , Claudia Filippi , P. Kratzer , E. Penev , M. Scheffler