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To address the impact of electron correlations in the linear and non-linear response regimes of interacting many-electron systems exposed to time-dependent external fields, we study one-dimensional (1D) systems where the interacting problem…

其他凝聚态物理 · 物理学 2011-08-17 N. Helbig , J. I. Fuks , I. V. Tokatly , H. Appel , E. K. U. Gross , A. Rubio

The random phase approximation (RPA) for the electron correlation energy, combined with the exact-exchange energy, represents the state-of-the-art exchange-correlation functional within density-functional theory (DFT). However, the standard…

其他凝聚态物理 · 物理学 2015-05-20 Xinguo Ren , Patrick Rinke , Alexandre Tkatchenko , Matthias Scheffler

In [Phys. Rev. B 107, 094433 (2023)], Deng et al. have proposed an electron-muon correlation functional within the context of the two-component density functional theory (TC-DFT) for crystals/molecules containing positively charged muons.…

其他凝聚态物理 · 物理学 2024-04-30 Mohammad Goli , Nahid Sadat Riyahi , Shant Shahbazian

The recent non-empirical semi-local exchange functional of Armiento and K\"ummel, the AK13 [PRL 111, 036402 (2013)] incorporates a number of features reproduced by higher-order theory. The AK13 potential behaves analogously with the…

化学物理 · 物理学 2016-11-02 A. Lindmaa , R. Armiento

In the spirit of recently developed LDA+U and LDA+DMFT methods we implement a combination of density functional theory in its local density approximation (LDA) with a $k$- and $\omega -$dependent self-energy found from diagrammatic…

强关联电子 · 物理学 2018-04-17 Sergey Y. Savrasov , Giacomo Resta , Xiangang Wan

The present work proposes to use density-functional theory (DFT) to correct for the basis-set error of wave-function theory (WFT). One of the key ideas developed here is to define a range-separation parameter which automatically adapts to a…

The locality hypothesis in density-functional theory (DFT) states that the functional derivative of the Hohenberg-Kohn universal functional can be expressed as a local multiplicative potential function, and this is the basis of DFT and of…

原子物理 · 物理学 2007-05-23 Ingvar Lindgren , Sten Salomonson

In this chapter, we provide a review of ground-state Kohn-Sham density-functional theory of electronic systems and some of its extensions, we present exact expressions and constraints for the exchange and correlation density functionals,…

化学物理 · 物理学 2022-09-12 Julien Toulouse

GdN bulk is studied with the local density approximation, on the Hartree-Fock level, and on the level of the hybrid functional B3LYP. A local basis set formalism is used, as implemented in the present CRYSTAL06 release. It is demonstrated…

材料科学 · 物理学 2009-11-13 K. Doll

One-dimensional multi-component Fermi or Bose systems with strong zero-range interactions can be described in terms of local exchange coefficients and mapping the problem into a spin model is thus possible. For arbitrary external confining…

We present a new density-functional method of the self-consistent electronic-structure calculation which does not exploit any local density approximations (LDA). We use the exchange-correlation energy which consists of the exact exchange…

统计力学 · 物理学 2009-10-30 Takao Kotani

Reduced-density-matrix-functional theory is applied to open-shell systems. We introduce a spin-restricted formulation by appropriately expressing approximate correlation-energy functionals in terms of spin-dependent occupation numbers and…

强关联电子 · 物理学 2007-05-23 N. N. Lathiotakis , N. Helbig , E. K. U. Gross

A critical challenge for density functional theory (DFT) in practice is its limited ability to treat static electron correlation, leading to errors in its prediction of charges, multiradicals, and reaction barriers. Recently, we combined…

化学物理 · 物理学 2024-11-05 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

We examine the application of the recently developed dual basis methods of Head-Gordon and co-workers to double hybrid density functional computations. Using the B2-PLYP, B2GP-PLYP, DSD-BLYP and DSD-PBEP86 density functionals, we assess the…

化学物理 · 物理学 2015-03-27 Jason N. Byrd , John A. Montgomery

Exchange hole is the principle constituent in density functional theory, which can be used to accurately design exchange energy functional and range separated hybrid functionals coupled with some appropriate correlation. Recently, density…

材料科学 · 物理学 2017-09-14 Bikash Patra , Subrata Jana , Prasanjit Samal

We present a density functional theory (DFT) for lattice models with local electron-electron (e-e) and electron-phonon (e-ph) interactions. Exchange-correlation potentials are derived via dynamical mean field theory for the…

强关联电子 · 物理学 2019-09-04 E. Viñas Boström , P. Helmer , P. Werner , C. Verdozzi

As a new approach to efficiently describe correlation effects in the relativistic quantum world we propose to consider reduced density matrix functional theory, where the key quantity is the first-order reduced density matrix (1-RDM). In…

化学物理 · 物理学 2022-05-05 M. Rodríguez-Mayorga , K. J. H. Giesbertz , L. Visscher

The importance of the Lieb-Simon proof of the relative exactness of Thomas-Fermi theory in the large-Z limit to modern density functional theory (DFT) is explored. The principle, that there is a specific semiclassical limit in which…

数学物理 · 物理学 2022-02-14 Kieron Burke

In the local density approximation (LDA) for electronic time-dependent current-density functional theory (TDCDFT) many-body effects are described in terms of the visco-elastic constants of the homogeneous three-dimensional electron gas. In…

介观与纳米尺度物理 · 物理学 2009-11-13 Roberto D'Agosta , Massimiliano Di Ventra , Giovanni Vignale

The accuracy of density-functional theory (DFT) is determined by the quality of the approximate functionals, such as exchange-correlation in electronic DFT and the excess functional in the classical DFT formalism of fluids. The exact…