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We investigate the behavior of three-dimensional (3D) exchange-correlation energy functional approximations of density functional theory in anisotropic systems with two-dimensional (2D) character. Using two simple models, quasi-2D electron…

介观与纳米尺度物理 · 物理学 2009-10-31 Yong-Hoon Kim , In-Ho Lee , Satyadev Nagaraja , Jean-Pierre Leburton , Randolph Q. Hood , Richard M. Martin

The construction of meta generalized gradient approximations based on the density matrix expansion (DME) is considered as one of the most accurate technique to design semilocal exchange energy functionals in two-dimensional density…

材料科学 · 物理学 2018-05-09 Abhilash Patra , Subrata Jana , Prasanjit Samal

Ground-state Kohn-Sham density functional theory provides, in principle, the exact ground-state energy and electronic spin-densities of real interacting electrons in a static external potential. In practice, the exact density functional for…

化学物理 · 物理学 2022-07-11 Aaron D. Kaplan , Mel Levy , John P. Perdew

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

Nonorthogonal multireference methods can predict statically correlated adiabatic energies while providing chemical insight through the combination of diabatic reference states. However, reaching quantitative accuracy using nonorthogonal…

化学物理 · 物理学 2020-07-30 Hugh G. A. Burton , Alex J. W. Thom

An exchange correlation energy functional involving fractional power of the one-body reduced density matrix [Phys. Rev. B {\bf 78}, 201103 (2008)] is applied to finite systems and to the homogeneous electron gas. The performance of the…

强关联电子 · 物理学 2015-05-13 N. N. Lathiotakis , S. Sharma , J. K. Dewhurst , F. Eich , M. A. L. Marques , E. K. U. Gross

In density functional theory (DFT), the exchange-correlation functional can be exactly expressed by the adiabatic connection integral. It has been noticed that as lambda goes to infinity, the lambda^(-1) term in the expansion of W(lambda)…

其他凝聚态物理 · 物理学 2015-05-13 Zhenfei Liu , Kieron Burke

Ensemble density-functional theory (eDFT) suffers from the so-called "ghost interaction" error when approximate exchange-correlation functionals are used. In this work, we present a rigorous ghost interaction correction (GIC) scheme in the…

化学物理 · 物理学 2016-07-21 Md. Mehboob Alam , Stefan Knecht , Emmanuel Fromager

We present an approach based on density-functional theory for the calculation of fundamental gaps of both finite and periodic two-dimensional (2D) electronic systems. The computational cost of our approach is comparable to that of total…

材料科学 · 物理学 2021-08-11 Alberto Guandalini , Alice Ruini , Esa Räsänen , Carlo Andrea Rozzi , Stefano Pittalis

Commonly used semilocal density functional approximations for the exchange-correlation energy fail badly when the true two dimensional limit is approached. We show, using a quasi-two-dimensional uniform electron gas in the infinite barrier…

材料科学 · 物理学 2015-05-13 Lucian A. Constantin

We calculate the correlation energy of a two-dimensional homogeneous electron gas using several available approximations for the exchange-correlation kernel $f_{\rm xc}(q,\omega)$ entering the linear dielectric response of the system. As in…

介观与纳米尺度物理 · 物理学 2009-11-10 R. Asgari , M. Polini , B. Davoudi , M. P. Tosi

We present a new formulation of the correlated electron-ion dynamics (CEID) scheme, which systematically improves Ehrenfest dynamics by including quantum fluctuations around the mean-field atomic trajectories. We show that the method can…

材料科学 · 物理学 2007-12-13 L. Stella , M. Meister , A. J. Fisher , A. P. Horsfield

Anions and radicals are important for many applications including environmental chemistry, semiconductors, and charge transfer, but are poorly described by the available approximate energy density functionals. Here we test an approximate…

化学物理 · 物理学 2015-06-18 André Mirtschink , C. J. Umrigar , John D. Morgan , Paola Gori-Giorgi

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

We consider an analytically solvable model of two interacting electrons that allows for the calculation of the exact exchange-correlation kernel of time-dependent density functional theory. This kernel, as well as the corresponding density…

强关联电子 · 物理学 2017-05-04 Luis Cort , Daniel Karlsson , Giovanna Lani , Robert van Leeuwen

We study the uniform electron gas with a gap model in the context of density functional theory. Based on this analysis, we construct two local gap models that realize generalized gradient approximation (GGA) correlation functionals…

其他凝聚态物理 · 物理学 2015-01-22 E. Fabiano , P. E. Trevisanutto , A. Terentjevs , L. A. Constantin

As generative artificial intelligence (GAI) models continue to evolve, their generative capabilities are increasingly enhanced and being used extensively in content generation. Beyond this, GAI also excels in data modeling and analysis,…

信号处理 · 电气工程与系统科学 2023-10-31 Jiacheng Wang , Hongyang Du , Dusit Niyato , Jiawen Kang , Shuguang Cui , Xuemin Shen , Ping Zhang

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

The results are reported of molecular dynamics simulations of the static longitudinal dielectric and response functions for molten AgI at 923 K using two ionic models. The first one is a rigid ion model, while in the second the induced…

软凝聚态物质 · 物理学 2007-09-03 Joaquim Trullàs , Vicente Bitrián

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

强关联电子 · 物理学 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak