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In this paper, we study a few theoretical issues in the discretized Kohn-Sham (KS) density functional theory (DFT). The equivalence between either a local or global minimizer of the KS total energy minimization problem and the solution to…

计算物理 · 物理学 2014-02-21 Xin Liu , Zaiwen Wen , Xiao Wang , Michael Ulbrich , Yaxiang Yuan

This work presents a theory to unify the two independent theoretical frameworks of Kohn-Sham (KS) density functional theory (DFT) and reduced density matrix functional theory (RDMFT). The generalization of the KS orbitals to hypercomplex…

化学物理 · 物理学 2021-11-18 Neil Qiang Su

We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the…

强关联电子 · 物理学 2014-05-16 F. G. Eich , M. Di Ventra , G. Vignale

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

Orbital-free density functional theory (OF-DFT) runs at low computational cost that scales linearly with the number of simulated atoms, making it suitable for large-scale material simulations. It is generally considered that OF-DFT strictly…

材料科学 · 物理学 2022-04-05 Qiang Xu , Cheng Ma , Wenhui Mi , Yanchao Wang , Yanming Ma

Given the time-evolution of an electron charge density, the local potential in Kohn-Sham time-dependent density functional theory (KS-TDDFT) can be modeled as a sum of instantaneous and dynamic contributions by assuming a certain form of…

计算物理 · 物理学 2016-11-09 R. J. Magyar

Kohn-Sham density functional theory is the base of modern computational approaches to electronic structures. Their accuracy vitally relies on the exchange-correlation energy functional, which encapsulates electron-electron interaction…

计算物理 · 物理学 2019-11-04 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

The Hubbard model provides a test bed to investigate the complex behaviour arising from electron-electron interaction in strongly-correlated systems and naturally emerges as the foundation model for lattice density functional theory (DFT).…

强关联电子 · 物理学 2025-01-29 Eoghan Cronin , Rajarshi Tiwari , Stefano Sanvito

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

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

Recently, an approximate theoretical framework was introduced, called local reduced density matrix functional theory (local-RDMFT), where functionals of the one-body reduced density matrix (1-RDM) are minimized under the additional…

This chapter presents the development of a density functional theory (DFT)-based method for accurate, reliable treatment of various resonances in atoms. Many of these are known to be notorious for their strong correlation, proximity to more…

化学物理 · 物理学 2019-04-19 Amlan K. Roy

The accompanying Comment by A. Holas and N. H. March [Phys. Rev. A {\bf 66}, 066501 (2002)] is concerned with the issue of whether or not kinetic energy can be represented by an effective local potential, as required for an exact…

原子物理 · 物理学 2007-05-23 R. K. Nesbet

We introduce a new functional for simulating ground-state and time-dependent electronic systems within density-functional theory. The functional combines an expression for the exact Kohn-Sham (KS) potential in the limit of complete electron…

介观与纳米尺度物理 · 物理学 2021-01-15 M. J. P. Hodgson , J. D. Ramsden , T. R. Durrant , R. W. Godby

The inclusion of nucleonic exchange energy has been a long-standing challenge for the relativistic density functional theory (RDFT) in nuclear physics. We propose an orbital-dependent relativistic Kohn-Sham density functional theory to…

核理论 · 物理学 2023-04-26 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Tae-Sun Park

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

It is found that, in closed-$l$-shell atoms, the exact local exchange potential $v_{\text{x}}(\bf r)$ of the density functional theory (DFT) is very well represented, within the region of every atomic shell, by each of the suitably shifted…

原子物理 · 物理学 2015-05-13 M. Cinal

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

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…

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