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Development of the electronic kinetic-energy density functional is a subject of major interest in theoretical physics and chemistry. In this work, the nonlocal kinetic-energy functional is developed in terms of the response function for the…

化学物理 · 物理学 2022-06-17 Hideaki Takahashi

Orbital-Free Density Functional Theory (OFDFT) has re-emerged as a viable alternative to Kohn-Sham DFT, driven by recent advances in kinetic energy density functionals (KEDFs). Nonlocal (NL) KEDFs have significantly extended OFDFT's…

材料科学 · 物理学 2025-12-24 Abhishek Bhattacharjee , Hemanadhan Myneni , Manoj K. Harbola , Prasanjit Samal

Machine learning of kinetic energy functionals (KEF), in particular kinetic energy density (KED) functionals, has recently attracted attention as a promising way to construct KEFs for orbital-free density functional theory (OF-DFT). Neural…

材料科学 · 物理学 2025-08-11 Sergei Manzhos , Johann Lüder , Manabu Ihara

The exact form of the kinetic energy functional has remained elusive in orbital-free models of density functional theory (DFT). This has been the main stumbling block for the development of a general-purpose framework on this basis. Here,…

介观与纳米尺度物理 · 物理学 2020-01-06 Thomas Pope , Werner Hofer

A kinetic energy functional Ee was developed within the framework of the density-functional theory (DFT) based on the energy electron density for the purpose of realizing the orbital-free DFT. The functional includes the nonlocal term…

计算物理 · 物理学 2021-12-06 Hideaki Takahashi

Orbital-free density functional theory (OF-DFT) holds the promise to compute ground state molecular properties at minimal cost. However, it has been held back by our inability to compute the kinetic energy as a functional of the electron…

化学物理 · 物理学 2023-10-25 Roman Remme , Tobias Kaczun , Maximilian Scheurer , Andreas Dreuw , Fred A. Hamprecht

Machine learning (ML) of kinetic energy functionals (KEF) for orbital-free density functional theory (OF-DFT) holds the promise of addressing an important bottleneck in large-scale ab initio materials modeling where sufficiently accurate…

材料科学 · 物理学 2025-04-10 Sergei Manzhos , Johann Luder , Pavlo Golub , Manabu Ihara

Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must…

材料科学 · 物理学 2024-12-12 Michael A. J. Mitchell , Teresa Del Aguila Ferrandis , Stefano Sanvito

Practical density functional theory (DFT) owes its success to the groundbreaking work of Kohn and Sham that introduced the exact calculation of the non-interacting kinetic energy of the electrons using an auxiliary mean-field system.…

化学物理 · 物理学 2023-11-17 P. del Mazo-Sevillano , J. Hermann

Since the seminal works of Thomas and Fermi, researchers in the Density-Functional Theory (DFT) community are searching for accurate electron density functionals. Arguably, the toughest functional to approximate is the noninteracting…

材料科学 · 物理学 2018-05-23 Wenhui Mi , Alessandro Genova , Michele Pavanello

There is a number of explicit kinetic energy density functionals for non-interacting electron systems that are obtained in terms of the electron density and its derivatives. These semilocal functionals have been widely used in the…

其他凝聚态物理 · 物理学 2011-12-22 David Garcia-Aldea , J. E. Alvarellos

In order to obtain a reasonably accurate and easily implemented approach to many-electron calculations, we will develop a new Density Functional Theory (DFT). Specifically, we derive an approximation to electron density, the first term of…

材料科学 · 物理学 2010-04-23 Gregory C. Dente

This work continues a program to systematically generalize the Skyrme Hartree-Fock method for medium and heavy nuclei by applying effective field theory (EFT) methods to Kohn-Sham density functional theory (DFT). When conventional Kohn-Sham…

核理论 · 物理学 2007-05-23 Anirban Bhattacharyya , R. J. Furnstahl

Density functional theory(DFT) and Hartree-Fock(HF) calculations are reported for the family of transition metal fluorides $\mbox{ScF}_3$, $\mbox{TiF}_4$, $\mbox{VF}_5$, and $\mbox{CrF}_6$. Both HF and the local-density-aproximation (LDA)…

chem-ph · 物理学 2016-08-31 Thomas V. Russo , Richard L. Martin , P. Jeffrey Hay

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

化学物理 · 物理学 2018-02-20 Hideaki Takahashi

The development of semilocal models for the kinetic energy density (KED) is an important topic in density functional theory (DFT). This is especially true for subsystem DFT, where these models are necessary to construct the required…

其他凝聚态物理 · 物理学 2017-02-15 S. Śmiga , E. Fabiano , L. A. Constantin , F. Della Sala

We present a substantial extension of our constraint-based approach for development of orbital-free (OF) kinetic-energy (KE) density functionals intended for the calculation of quantum-mechanical forces in multi-scale molecular dynamics…

材料科学 · 物理学 2015-05-13 V. V. Karasiev , R. S. Jones , S. B. Trickey , Frank E. Harris

We study the performance of fourth-order gradient expansions of the kinetic energy density (KED) in semi-local kinetic energy functionals depending on the density-dependent variables. The formal fourth-order expansion is convergent for…

计算物理 · 物理学 2019-01-30 Pavlo Golub , Sergei Manzhos

We present a kinetic-energy density-functional theory and the corresponding kinetic-energy Kohn-Sham (keKS) scheme on a lattice and show that by including more observables explicitly in a density-functional approach already simple…

化学物理 · 物理学 2018-07-23 Iris Theophilou , Florian Buchholz , F. G. Eich , Michael Ruggenthaler , Angel Rubio

We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

强关联电子 · 物理学 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale
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