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Electronic structures are fully determined by the exchange-correlation (XC) potential. In this work, we develop a new method to construct reliable XC potentials by properly mixing the exact exchange and the local density approximation…

化学物理 · 物理学 2024-08-06 Chen Huang

Explicitly orbital-dependent approximations to the exchange-correlation energy functional of density functional theory typically not only depend on the single-particle Kohn-Sham orbitals but also on their occupation numbers in the ground…

材料科学 · 物理学 2009-05-14 S. Kurth , C. R. Proetto , K. Capelle

Spin is a fundamental property of any many-electron system. The ability of density functional theory to accurately predict the physical properties of a system, while varying its spin, is crucial for describing magnetic materials and…

化学物理 · 物理学 2024-11-05 Alon Hayman , Eli Kraisler , Tamar Stein

We establish the theoretical foundations for embedding a correlated wave function in an environment formed by Kohn-Sham orbitals. We show that introducing an approximation which equates two, in principle distinct, kinetic-energy functionals…

化学物理 · 物理学 2026-03-06 Enzo Monino , Daria Drwal , Michał Hapka , Libor Veis , Katarzyna Pernal

Density Functional Theory (DFT) is used extensively in the computation of electronic properties of matter, with various applications. Approximating the exchange-correlation (XC) functional is the key to the Kohn-Sham DFT approach, the basis…

材料科学 · 物理学 2025-03-17 Sameerah Helal , Zhe Tao , Cindy Rubio-González , Francois Gygi , Aditya V. Thakur

Using the formalism of the conditional amplitude, we study the response part of the exchange-correlation potential in the strong-coupling limit of density functional theory, analysing its peculiar features and comparing it with the response…

化学物理 · 物理学 2019-03-26 Sara Giarrusso , Stefan Vuckovic , Paola Gori-Giorgi

In this paper, we construct a moment inequality for mixing dependent random variables, it is of independent interest. As applications, the consistency of the kernel density estimation is investigated. Several limit theorems are established:…

统计理论 · 数学 2013-06-07 Yuexu Zhao , Zhengyan Lin

It has been shown that the combination of a broken spatial symmetry in the potential (or ratchet potential) and time correlations in the driving are crucial, and enough to allow transformation of the fluctuations into work. The required…

凝聚态物理 · 物理学 2009-10-22 Dante R. Chialvo , Mark M. Millonas

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

核理论 · 物理学 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

Standard approximations for the exchange-correlation functional have been found to give big errors for the linearity condition of fractional charges, leading to delocalization error, and the constancy condition of fractional spins, leading…

强关联电子 · 物理学 2009-11-13 Paula Mori-Sanchez , Aron J. Cohen , Weitao Yang

In the framework of density functional theory a formalism to describe electronic transport in the steady state is proposed which uses the density on the junction and the {\em steady current} as basic variables. We prove that, in a finite…

介观与纳米尺度物理 · 物理学 2016-01-12 G. Stefanucci , S. Kurth

The asymmetric Hubbard dimer is used to study the density-dependence of the exact frequency-dependent kernel of linear-response time-dependent density functional theory. The exact form of the kernel is given, and the limitations of the…

强关联电子 · 物理学 2018-07-17 D. J. Carrascal , J. Ferrer , N. Maitra , K. Burke

In the current density functional theory of linear and nonlinear time-dependent phenomena, the treatment of exchange and correlation beyond the level of the adiabatic local density approximation is shown to lead to the appearance of…

凝聚态物理 · 物理学 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

We propose a nonadiabatic time-dependent spin-density functional theory (TDSDFT) approach for studying the single-electron excited states and the ultrafast response of systems with strong electron correlations. The correlations are…

强关联电子 · 物理学 2013-11-27 Volodymyr Turkowski , Talat S. Rahman

One-dimensional multi-component Fermi or Bose systems with strong zero-range interactions can be described in terms of local exchange coefficients and mapping the problem into a spin model is thus possible. For arbitrary external confining…

We report a local, weight-dependent correlation density-functional approximation that incorporates information about both ground and excited states in the context of density-functional theory for ensembles (eDFT). This density-functional…

化学物理 · 物理学 2020-06-05 Pierre-François Loos , Emmanuel Fromager

Applying the novel exact-exchange (EXX) Kohn-Sham method within time-dependent density-functional theory, we obtained the optical absorption spectrum of bulk silicon in good agreement with experiments including excitonic features. Analysis…

材料科学 · 物理学 2016-01-01 Yong-Hoon Kim , Andreas Goerling

We demonstrate that the time-dependent Krieger-Li-Iafrate approximation in combination with the exchange-only functional violates the `Zero-Force Theorem'. By analyzing the time-dependent dipole moment of Na5 and Na9+, we furthermore show…

材料科学 · 物理学 2007-05-23 Michael Mundt , Stephan Kümmel , Robert van Leeuwen , Paul-Gerhard Reinhard

Quantum-electrodynamical density-functional theory (QEDFT) provides a promising avenue for exploring complex light-matter interactions in optical cavities for real materials. Similar to conventional density-functional theory, the Kohn-Sham…

The performance of density functional theory depends largely on the approximation applied for the exchange functional. We propose here a novel screened exchange potential for semiconductors, with parameters based on the physical properties…

材料科学 · 物理学 2021-01-04 Michael Lorke , Peter Deák , Thomas Frauenheim