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We construct range-separated double-hybrid schemes which combine coupled-cluster or random-phase approximations with a density functional based on a two-parameter Coulomb-attenuating-method-like decomposition of the electron-electron…

化学物理 · 物理学 2020-01-29 Cairedine Kalai , Bastien Mussard , Julien Toulouse

We introduce a functional of the local spectral electron density which can be used to to compute the total energy and the local spectral function of strongly-correlated materials. We illustrate the applicability of the method by using as an…

强关联电子 · 物理学 2007-05-23 S. Y. Savrasov , G. Kotliar

The effect of long-ranged Coulomb interaction on the low energy properties (momentum distribution function, density of states, electron spectral function, and $4k_F$ correlation function) of one-dimensional electron systems is determined…

强关联电子 · 物理学 2009-10-31 D. W. Wang , A. J. Millis , S. Das Sarma

The force-balance equation of time-dependent density-functional theory presents a promising route towards obtaining approximate functionals, however, so far, no practical correlation functionals have been derived this way. In this work,…

化学物理 · 物理学 2025-04-08 Nicolas Tancogne-Dejean , Markus Penz , Michael Ruggenthaler , Angel Rubio

Due to efficient scaling with electron number N, density functional theory (DFT) is widely used for studies of large molecules and solids. Restriction of an exact mean-field theory to local potential functions has recently been questioned.…

其他凝聚态物理 · 物理学 2015-06-24 Robert K. Nesbet

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial…

量子物理 · 物理学 2015-03-13 J. P. Coe , A. Sudbery , I. D'Amico

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates…

材料科学 · 物理学 2009-11-11 Julien Toulouse

By decomposing the Coulomb interaction into a long distance component appropriate for mean-field theory, and a nonmean-field short distance component, we compute the counterion density near a charged surface for all values of the counterion…

软凝聚态物质 · 物理学 2009-11-11 Christian D. Santangelo

The Hohenberg-Kohn density functional was long ago shown to reduce to the Thomas-Fermi approximation in the non-relativistic semiclassical (or large-$Z$) limit for all matter, i.e, the kinetic energy becomes local. Exchange also becomes…

材料科学 · 物理学 2016-08-24 Kieron Burke , Antonio Cancio , Tim Gould , Stefano Pittalis

By shifting the reference system for the local-density approximation (LDA) from the electron gas to other model systems one obtains a new class of density functionals, which by design account for the correlations present in the chosen…

强关联电子 · 物理学 2009-11-07 N. A. Lima , M. F. Silva , L. N. Oliveira , K. Capelle

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

化学物理 · 物理学 2022-05-16 Jerry L. Whitten

The exact universal functional of integer charge leads to an extension to fractional charge asymptotically when it is applied to a system made of asymptotically separated densities. The extended functional is asymptotically local and is…

化学物理 · 物理学 2024-12-17 Jing Kong

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

凝聚态物理 · 物理学 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

Semi-local density functionals for the exchange-correlation energy of electrons are extensively used as it produce realistic and accurate results for finite and extended systems. The choice of techniques play crucial role in constructing…

材料科学 · 物理学 2017-11-01 Subrata Jana , Prasanjit Samal

By introducing the self-energy density functionals for the dissipative interactions between the reduced system and its environment, we develop a time-dependent density-functional theory formalism based on an equation of motion for the…

量子物理 · 物理学 2009-11-13 Xiao Zheng , Fan Wang , Chi Yung Yam , Yan Mo , GuanHua Chen

The electron-electron mutual Coulomb repulsion energy density functional satisfies an equation that links functionals and functional derivatives at N-electron and (N-1)-electron densities for densities determined from the same adiabatic…

材料科学 · 物理学 2011-07-19 Daniel P. Joubert

It seems self-evident that a density functional calculation should be normalized to the number of electrons in the system. We present multiple examples where the accuracy of the approximate energy is improved (sometimes greatly) by…

化学物理 · 物理学 2026-03-13 Adam Clay , Kiril Datchev , Wenlan Miao , Adam Wasserman , Kimberly J. Daas , Kieron Burke

Most density functionals have been developed by imposing the known exact constraints on the exchange-correlation energy, or by a fit to a set of properties of selected systems, or by both. However, accurate modeling of the conventional…

材料科学 · 物理学 2016-08-24 Jianmin Tao , Yuxiang Mo

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

软凝聚态物质 · 物理学 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

材料科学 · 物理学 2007-10-04 P. Bokes , J. Jung , R. W. Godby