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Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

化学物理 · 物理学 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein

The density functional theory is extended to account for self-bound systems. To this end the Hohenberg-Kohn theorem is formulated for the intrinsic density and a Kohn-Sham like procedure for an $N$--body system is derived using the…

核理论 · 物理学 2008-11-26 Nir Barnea

A generating coordinate is introduced into the exchange-correlation functional of density-functional theory (DFT). The many-body wave function is represented as a superposition of Kohn-Sham (KS) Slater determinants arising from different…

材料科学 · 物理学 2009-11-07 K. Capelle

A new method ( PI-DFT ) which combines path integrals and density functional theory is proposed as a pathway to many fields of physics. Within path integral theory it is possible to construct particle densities without explicitly…

凝聚态物理 · 物理学 2007-05-23 Peter Borrmann

Density functional theory (DFT) provides convenient electronic structure methods for the study of molecular systems and materials. Regular Kohn-Sham DFT calculations rely on unitary transformations to determine the ground-state electronic…

化学物理 · 物理学 2022-10-10 Greta Jacobson , Juan M. Marmolejo-Tejada , Martín A. Mosquera

This article is part-I of a review of density-functional theory (DFT) that is the most widely used method for calculating electronic structure of materials. The accuracy and ease of numerical implementation of DFT methods has resulted in…

材料科学 · 物理学 2023-05-25 Prashant Singh , Manoj K Harbola

We present an efficient computational approach to perform real-space electronic structure calculations using an adaptive higher-order finite-element discretization of Kohn-Sham density-functional theory (DFT). To this end, we develop an…

计算物理 · 物理学 2015-06-05 Phani Motamarri , Michael R Nowak , Kenneth Leiter , Jaroslaw Knap , Vikram Gavini

As a proof of principle, self-consistent Kohn--Sham calculations are performed with the exact exchange-correlation functional. Finding the exact functional for even one trial density requires solving the interacting Schr\"odinger equation…

化学物理 · 物理学 2014-07-14 Lucas O. Wagner , Thomas E. Baker , E. M. Stoudenmire , Kieron Burke , Steven R. White

One of the most important open challenges in modern Kohn-Sham (KS) density-functional theory (DFT) is the correct treatment of fractional electron charges and spins. Approximate exchange-correlation (XC) functionals struggle to do this in a…

化学物理 · 物理学 2015-12-24 Jonathan Nafziger , Adam Wasserman

We propose to expand the territory of density functional theory to strongly correlated electrons by reformulating the Kohn-Sham scheme in the representation of fractionalized particles. We call it the ``KS* scheme.'' Using inhomogeneous…

计算物理 · 物理学 2025-04-08 Bo Zhao , Jingyu Zhao , Zheng Zhu , Jian Wu , Zheng Liu

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

Theoretical material investigation based on density functional theory (DFT) has been a breakthrough in the last century. Nevertheless, the optical properties calculated by DFT generally show poor agreement with experimental results…

材料科学 · 物理学 2019-07-17 Mitsutoshi Nishiwaki , Hiroyuki Fujiwara

Orbital-free (OF) methods promise significant speed-up of computations based on density functional theory (DFT). In this field, the development of accurate kinetic-energy density functionals remains an open question. In this chapter we…

材料科学 · 物理学 2013-05-03 Constantine Yannouleas , Uzi Landman

A single-term density functional model for nondynamic and strong correlation is presented, based on single-determinant Kohn-Sham density functional theory. It is derived from modeling the adiabatic connection and contains only two nonlinear…

化学物理 · 物理学 2015-12-21 Jing Kong , Emil Proynov

Density functional theory (DFT) has emerged as one of the most versatile and lucrative approaches in electronic structure calculations of many-electron systems in past four decades. Here we give an account of the development of a…

化学物理 · 物理学 2019-04-19 Abhisek Ghosal , Amlan K. Roy

A general penalty method is presented for the construction of of Kohn-Sham system for given density through Levy's constrained-search. The method uses a functional $S[\rho]$ of one's choice. Different forms of $S[\rho]$ are employed to…

原子物理 · 物理学 2020-05-22 Ashish Kumar , Manoj K. Harbola

We revisit recent developments in the theoretical foundations of time-dependent density functional theory (TDDFT). TDDFT is then applied to the calculation of total cross sections for ionization processes in the antiproton-Helium collision…

原子物理 · 物理学 2011-03-28 N. Henkel , M. Keim , H. J. Lüdde , T. Kirchner

Classical density-functional theory provides an efficient alternative to molecular dynamics simulations for understanding the equilibrium properties of inhomogeneous fluids. However, application of density-functional theory to multi-site…

计算物理 · 物理学 2014-02-14 Ravishankar Sundararaman , T. A. Arias

We introduce a novel density-based multilevel approach in density functional theory. In this multilevel density functional theory (MLDFT), the system is partitioned in an active and an inactive fragment, and all interactions are retained…

A thesis providing a pedagogical introduction to the problem of achieving self-consistency in density functional theory. Contained is an introduction to the framework of Kohn-Sham density functional theory, leading then to the…

其他凝聚态物理 · 物理学 2018-03-06 Nick Woods