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The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. Part I of this review…

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. In this Part~II of a…

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

物理教育 · 物理学 2010-12-07 Nathan Argaman , Guy Makov

The classic density-functional theory (DFT) formalism introduced by Hohenberg, Kohn, and Sham in the mid-1960s, is based upon the idea that the complicated N-electron wavefunction can be replaced with the mathematically simpler 1-electron…

化学物理 · 物理学 2015-05-30 M. E. Casida , M. Huix-Rotllant

Density functional theory (DFT) is a powerful theoretical tool widely used in such diverse fields as computational condensed matter physics, atomic physics, and quantum chemistry. DFT establishes that a system of $N$ interacting electrons…

等离子体物理 · 物理学 2020-04-29 Giovanni Manfredi

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

Density functional theory (DFT) has become a basic tool for the study of electronic structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in the development of DFT. Unfortunately, the existing proofs are…

量子物理 · 物理学 2011-08-24 Aihui Zhou

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

This paper establishes the applicability of density functional theory methods to quantum computing systems. We show that ground-state and time-dependent density functional theory can be applied to quantum computing systems by proving the…

量子物理 · 物理学 2015-05-13 Frank Gaitan , Franco Nori

The Hohenberg-Kohn (HK) theorem is one of the most fundamental theorems of quantum mechanics, and constitutes the basis for the very successful density-functional approach to inhomogeneous interacting many-particle systems. Here we show…

材料科学 · 物理学 2009-11-11 K. Capelle , C. A. Ullrich , G. Vignale

The Hohenberg-Kohn (HK) theorem -- the bedrock of density functional theory (DFT) -- establishes a universal map from the external potential to the energy. It also relates the electron density and atomic forces to the variation of the…

化学物理 · 物理学 2025-12-15 Sambit Das , Bikash Kanungo , Arghadwip Paul , Vikram Gavini

The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

凝聚态物理 · 物理学 2007-05-23 Sandro Stringari

The practical success of density functional theory (DFT) is largely credited to the Kohn-Sham approach, which enables the exact calculation of the non-interacting electron kinetic energy via an auxiliary noninteracting system. Yet, the…

计算物理 · 物理学 2025-03-21 Sangita Majumdar , Zekun Shi , Giovanni Vignale

Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

统计力学 · 物理学 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

Spin-density-functional theory (SDFT) is the most widely implemented and applied formulation of density-functional theory. However, it is still finding novel applications, and occasionally encounters unexpected problems. In this paper we…

材料科学 · 物理学 2015-06-25 K. Capelle , Valter L. Libero

Density-potential functional theory (DPFT) is an alternative formulation of orbital-free density functional theory that may be suitable for modeling the electronic structure of large systems. To date, DPFT has been applied mainly to quantum…

材料科学 · 物理学 2023-04-21 Martin-Isbjörn Trappe , William C. Witt , Sergei Manzhos

One of the central problems in quantum mechanics is to determine the ground state properties of a system of electrons interacting via the Coulomb potential. Since its introduction by Hohenberg, Kohn, and Sham, Density Functional Theory…

量子物理 · 物理学 2010-09-28 Norbert Schuch , Frank Verstraete

Spherical density functional theory (DFT) is a reformulation of the classic theorems of DFT, in which the role of the total density of a many-electron system is replaced by a set of sphericalized densities, constructed by…

化学物理 · 物理学 2025-11-17 Sol Samuels , Chance M. Baxter , Susan R. Atlas

The density functional theory (DFT) is a remarkably successful theory of electronic structure of matter. At the foundation of this theory lies the Kohn-Sham (KS) equation. In this paper, we describe the long-time behaviour of the…

偏微分方程分析 · 数学 2021-05-11 Fabio Pusateri , Israel Michael Sigal

Density functional theory (DFT) is an essential building block for modern theoretical physics, chemistry, and engineering, especially those concerning electronic properties. Through decades of development, various program packages for…

材料科学 · 物理学 2022-11-21 Yusuke Nomura , Ryosuke Akashi
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