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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

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

We propose a machine learning based approach to develop the exchange-correlation potential of time dependent density functional theory (TDDFT). The neural network projection from the time-varying electron densities to the corresponding…

计算物理 · 物理学 2020-05-20 Yasumitsu Suzuki , Ryo Nagai , Jun Haruyama

We propose a computationally efficient approach to the nonadiabatic time-dependent density functional theory (TDDFT) which is based on a representation of the frequency-dependent exchange correlation kernel as a response of a set of damped…

介观与纳米尺度物理 · 物理学 2019-12-18 Dmitry R. Gulevich , Yaroslav V. Zhumagulov , Alexei V. Vagov , Vasili Perebeinos

The exact exchange-correlation (XC) potential in time-dependent density-functional theory (TDDFT) is known to develop steps and discontinuities upon change of the particle number in spatially confined regions or isolated subsystems. We…

介观与纳米尺度物理 · 物理学 2019-03-27 Daniel Vieira , K. Capelle , C. A. Ullrich

In their famous paper Kohn and Sham formulated a formally exact density-functional theory (DFT) for the ground-state energy and density of a system of $N$ interacting electrons, albeit limited at the time by certain troubling…

介观与纳米尺度物理 · 物理学 2015-06-16 Miquel Huix-Rotllant , Mark E. Casida

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

Time-dependent density functional theory (TDDFT) is a standard approach for calculating optical excitations of molecules and solids, while ensemble DFT (EDFT) is a promising alternative under development. We introduce ensemble TDDFT…

化学物理 · 物理学 2026-05-22 Kimberly J. Daas , Steven Crisostomo , Kieron Burke

Time-dependent density functional theory continues to draw a large number of users in a wide range of fields exploring myriad applications involving electronic spectra and dynamics. Although in principle exact, the predictivity of the…

化学物理 · 物理学 2023-08-14 Lionel Lacombe , Neepa T. Maitra

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

Time-dependent density-functional theory (TDDFT) is an extension of ground-state density-functional theory which allows the treatment of electronic excited states and a wide range of time-dependent phenomena in the linear and nonlinear…

材料科学 · 物理学 2025-10-10 Carsten A. Ullrich

Excitation energies of light-emitting organic conjugated polymers have been investigated with time-dependent density functional theory (TDDFT) within the adiabatic approximation for the dynamical exchange-correlation potential. Our…

材料科学 · 物理学 2009-07-06 Jianmin Tao , Sergei Tretiak , Jian-Xin Zhu

We formulate a rigorous method for calculating a nonadiabatic (frequency-dependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within…

强关联电子 · 物理学 2014-10-13 Volodymyr Turkowski , Talat S. Rahman

The adiabatic approximation in time-dependent density functional theory (TDDFT) is known to give an incorrect pole structure in the quadratic response function, leading to unphysical divergences in excited state-to-state transition…

化学物理 · 物理学 2023-05-01 Davood Dar , Saswata Roy , Neepa T. Maitra

We address and quantify the role of non-adiabaticity ("memory effects") in the exchange-correlation (xc) functional of time-dependent density functional theory (TDDFT) for describing non-linear dynamics of many-body systems. Time-dependent…

其他凝聚态物理 · 物理学 2015-06-18 Johanna I. Fuks , Mehdi Farzanehpour , Ilya V. Tokatly , Heiko Appel , Stefan Kurth , Angel Rubio

Time-dependent density-functional theory (TDDFT) is deemed to be a formally rigorous way of dealing with the time-evolution of a many-electron system at the level of electron densities rather than the underlying wavefunctions, which in turn…

化学物理 · 物理学 2024-11-26 Jochen Schirmer

Almost all time-dependent density-functional theory (TDDFT) calculations of excited states make use of the adiabatic approximation, which implies a frequency-independent exchange-correlation kernel that limits applications to…

介观与纳米尺度物理 · 物理学 2011-12-08 Miquel Huix-Rotllant , Andrei Ipatov , Angel Rubio , Mark E. Casida

The particle-hole interaction problem is longstanding within time-dependent density functional theory (TDDFT) and leads to extreme errors in the prediction of K-edge X-ray absorption spectra (XAS). We derive a linear-response formalism that…

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

An approximate solution to the time-dependent density functional theory (TDDFT) response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition…

材料科学 · 物理学 2009-11-07 H. Appel , E. K. U. Gross , K. Burke
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