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Within density-functional theory, Moreau-Yosida regularization enables both a reformulation of the theory and a mathematically well-defined definition of the Kohn-Sham approach. It is further employed in density-potential inversion schemes…

材料科学 · 物理学 2026-04-20 Markus Penz , Michael F. Herbst , Trygve Helgaker , Andre Laestadius

Screened range-separated hybrid (SRSH) functionals within generalized Kohn-Sham density functional theory (GKS-DFT) have been shown to restore a general $1/(r\varepsilon)$ asymptotic decay of the electrostatic interaction in dielectric…

We generalize to the time-dependent case the stationary Internal DFT / Kohn-Sham formalism presented in Ref. [14]. We prove that, in the time-dependent case, the internal properties of a self-bound system (as an atomic nuclei) are all…

核理论 · 物理学 2010-04-22 J. Messud

We formulate and implement Cyclic Density Functional Theory (Cyclic DFT) -- a self-consistent first principles simulation method for nanostructures with cyclic symmetries. Using arguments based on Group Representation Theory, we rigorously…

材料科学 · 物理学 2017-03-16 Amartya S. Banerjee , Phanish Suryanarayana

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham…

核理论 · 物理学 2008-11-26 J. Engel

A detailed convex analysis-based formulation of density-functional theory for periodic systems in arbitrary dimensions is presented. The electron-electron interaction is taken to be of Yukawa type, harmonising with underlying function…

化学物理 · 物理学 2026-02-23 Oliver M. Bohle , Maryam Lotfigolian , Andre Laestadius , Erik I. Tellgren

This paper presents a novel Riemannian conjugate gradient method for the Kohn-Sham energy minimization problem in density functional theory (DFT), with a focus on non-metallic crystal systems. We introduce an energy-adaptive metric that…

数值分析 · 数学 2025-03-21 Daniel Peterseim , Jonas Püschel , Tatjana Stykel

The Kohn-Sham scheme of density functional theory is one of the most widely used methods to solve electronic structure problems for a vast variety of atomistic systems across different scientific fields. While the method is fast relative to…

The calculation of the underground density field from measured gravity data has been done by a variety of methods of varied types. The use of the vector gravity components is here addressed in order to develop one accurate gravity inversion…

地球物理 · 物理学 2019-08-22 Orlando Silva , Pedro Nogueira

For properties of interacting electron systems, Kohn-Sham (KS) theory is often favored over many-body perturbation theory (MBPT) owing to its low computational cost. However, the exact KS potential can be challenging to approximate, for…

材料科学 · 物理学 2021-01-15 Jack Wetherell , Matthew Hodgson , Leopold Talirz , Rex Godby

We review the role of self-consistency in density functional theory. We apply a recent analysis to both Kohn-Sham and orbital-free DFT, as well as to Partition-DFT, which generalizes all aspects of standard DFT. In each case, the analysis…

化学物理 · 物理学 2016-11-22 Adam Wasserman , Jonathan Nafziger , Kaili Jiang , Min-Cheol Kim , Eunji Sim , Kieron Burke

Density-functional theory (DFT) has revolutionized computer simulations in chemistry and material science. A faithful implementation of the theory requires self-consistent calculations. However, this effort involves repeatedly diagonalizing…

量子物理 · 物理学 2023-07-17 Taehee Ko , Xiantao Li , Chunhao Wang

Static correlation is a difficult problem for density-functional theory (DFT) as it arises in cases of degenerate or quasi-degenerate states where a multideterminantal wave function provides the simplest reasonable first approximation to…

化学物理 · 物理学 2024-01-01 Abraham Ponra , Carolyne Bakasa , Anne Justine Etindele , Mark E. Casida

We report on a methodology for the treatment of the Coulomb energy and potential in Kohn-Sham density functional theory that is free from self-interaction effects. Specifically, we determine the Coulomb potential given as the functional…

材料科学 · 物理学 2016-06-29 M. Däne , A. Gonis , D. M. Nicholson , G. M. Stocks

The question of how density functional theory (DFT) compares with Hartree-Fock (HF) for the computation of momentum-space properties is addressed in relation to systems for which (near) exact Kohn-Sham (KS) and HF one-electron matrices are…

原子物理 · 物理学 2007-05-23 Sebastien Ragot

The multi-component density functional theory is faced with the challenge of capturing various types of inter- and intra-particle exchange-correlation effects beyond those introduced by the conventional electronic exchange-correlation…

原子与分子团簇 · 物理学 2023-12-27 Nahid Sadat Riyahi , Mohammad Goli , Shant Shahbazian

A fundamental weakness of density functional theory (DFT) is the difficulty in making systematic improvements to approximations for the exchange and correlation functionals. In this paper, we follow a wave-function-based approach [N.I.…

化学物理 · 物理学 2018-10-05 Timothy J. Callow , Nikitas I. Gidopoulos

Using a hydrogen molecule as a test system we demonstrate how to compute the effective potential according to the formalism of the new density functional theory (DFT), in which the basic variable is the set of spherically averaged densities…

化学物理 · 物理学 2020-09-22 K. Kokko , Á. Nagy , J. Huhtala , T. Björkman , L. Vitos

We present a perturbative approach within the scope of Kohn-Sham density functional theory (DFT). The method is based on the exact exchange-only optimized effective potential method, and correlation is included via perturbation expansion…

化学物理 · 物理学 2007-05-23 P. Sule

Conventional methods for modeling thermocatalytic systems are typically based on the Kohn-Sham density functional theory (KS-DFT), neglecting the inhomogeneous distributions of gas molecules in the reactive environment. However, industrial…

化学物理 · 物理学 2025-08-14 Jikai Sun , Jianzhong Wu