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Time-dependent density functional theory (TDDFT) within the linear response regime provides a solid mathematical framework to capture excitations. The accuracy of the theory, however, largely depends on the approximations for the…

强关联电子 · 物理学 2023-11-01 Aaron D. Kaplan , Adrienn Ruzsinszky

Most density functionals have been developed by imposing the known exact constraints on the exchange-correlation energy, or by a fit to a set of properties of selected systems, or by both. However, accurate modeling of the conventional…

材料科学 · 物理学 2016-08-24 Jianmin Tao , Yuxiang Mo

Time-dependent (TD) density functional theory (TDDFT) promises a numerically tractable account of many-body electron dynamics provided good simple approximations are developed for the exchange-correlation (XC) potential functional (XCPF).…

其他凝聚态物理 · 物理学 2008-08-29 Roi Baer

Adiabatic connection models (ACMs), which interpolate between the limits of weak and strong interaction, are powerful tools to build accurate exchange-correlation functionals. If the exact weak-interaction expansion from second-order…

化学物理 · 物理学 2022-09-08 S. Śmiga , F. Della Sala , P. Gori-Giorgi , E. Fabiano

We propose a description of nonequilibrium systems via a simple protocol that combines exchange-correlation potentials from density functional theory with self-energies of many-body perturbation theory. The approach, aimed to avoid double…

强关联电子 · 物理学 2016-06-15 M. Hopjan , D. Karlsson , S. Ydman , C. Verdozzi , C. -O. Almbladh

Density functional theory is the standard theory for computing the electronic structure of materials, which is based on a functional that maps the electron density to the energy. However, a rigorous form of the functional is not known and…

材料科学 · 物理学 2021-12-02 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

Density functional theory is the workhorse of modern electronic structure calculations, with wide-ranging applications in chemistry, physics, materials science, and machine learning. At its heart lies the exchange-correlation functional, a…

化学物理 · 物理学 2026-02-20 Fabien Tran , Susi Lehtola , Stefano Pittalis , Miguel A. L. Marques

Our goal in this paper is twofold. First, we characterize the class of pairwise interactions for which the Seidl conjecture on the structure of optimal plans for the symmetric multimarginal optimal transport problem with one-dimensional…

数学物理 · 物理学 2026-04-14 Thiago Carvalho Corso

This work presents an alternative, general, and in-principle exact extension of electronic Kohn-Sham density functional theory (KS-DFT) to the fully quantum-mechanical molecular problem. Unlike in existing multi-component or…

化学物理 · 物理学 2024-05-14 Emmanuel Fromager , Benjamin Lasorne

By propagating the many-body Schr\"odinger equation, we determine the exact time-dependent Kohn-Sham potential for a system of strongly correlated electrons which undergo field-induced tunneling. Numerous features are entirely absent from…

An exchange-correlation energy functional $ E_{\mathrm xc} $ and the resultant exchange-correlation potential $ v_{\mathrm xc}({\bf r}) $ in density-functional theory are proposed using orbital-dependent coupling-constant-averaged pair…

强关联电子 · 物理学 2007-05-23 Hiroshi Yasuhara , Masahiko Higuchi , Yoshiyuki Kawazoe

We illustrate the scope of Time Dependent Density Functional Theory (TDDFT) for strongly correlated (lattice) models out of equilibrium. Using the exact many body time evolution, we reverse engineer the exact exchange correlation (xc)…

介观与纳米尺度物理 · 物理学 2008-08-12 Claudio Verdozzi

A diagrammatic expansion for the dynamic exchange-correlation kernel f_xc of time dependent density functional theory is formulated. It is shown that f_xc has no singularities at Kohn-Sham transition energies in every order of the…

凝聚态物理 · 物理学 2009-11-07 I. V. Tokatly , R. Stubner , O. Pankratov

The correlation energy in density functional theory can be expressed exactly in terms of the change in the probability of finding two electrons at a given distance $r_{12}$ (intracule density) when the electron-electron interaction is…

其他凝聚态物理 · 物理学 2017-08-23 Paola Gori-Giorgi , Michael Seidl , Andreas Savin

Most applications of time-dependent density-functional theory (TDDFT) use the adiabatic local-density approximation (ALDA) for the dynamical exchange-correlation potential Vxc(r,t). An exact (i.e., nonadiabatic) extension of the…

介观与纳米尺度物理 · 物理学 2015-06-25 C. A. Ullrich

An adiabatic-connection fluctuation-dissipation theorem approach based on a range separation of electron-electron interactions is proposed. It involves a rigorous combination of short-range density functional and long-range random phase…

材料科学 · 物理学 2009-03-03 Julien Toulouse , Iann C. Gerber , Georg Jansen , Andreas Savin , János G. Ángyán

A decomposition of the exact exchange-correlation potential of time-dependent density functional theory into an interaction component and a kinetic component offers a new starting point for non- adiabatic approximations. The components are…

化学物理 · 物理学 2018-11-14 Johanna I. Fuks , Lionel Lacombe , Soeren E. B. Nielsen , Neepa T. Maitra

We investigate the issue of the nonadiabatic superconductivity in uncorrelated systems. A local approximation is employed coherently with the weak dependence on the involved momenta. Our results show that nonadiabatic vertex corrections are…

超导电性 · 物理学 2009-11-07 P. Paci , E. Cappelluti , C. Grimaldi , L. Pietronero

A simple exact-exchange density-functional method for a quasi-two-dimensional electron gas with variable density is presented. An analytical expression for the exact-exchange potential with only one occupied subband is provided, without…

凝聚态物理 · 物理学 2009-11-07 F. A. Reboredo , C. R. Proetto

Time-dependent density-functional theory (TDDFT) treats dynamical exchange and correlation (xc) via a single-particle potential, Vxc(r,t), defined as a nonlocal functional of the density n(r',t'). The popular adiabatic local-density…

介观与纳米尺度物理 · 物理学 2009-11-11 C. A. Ullrich , I. V. Tokatly