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Adiabatic time-dependent density functional theory fails for excitations of a heteroatomic molecule composed of two open-shell fragments at large separation. Strong frequency-dependence of the exchange-correlation kernel is necessary for…

其他凝聚态物理 · 物理学 2009-11-11 Neepa T. Maitra , David G. Tempel

While the variational principle for excited-state energies leads to a route to obtaining excited-state densities from time-dependent density functional theory, relatively little attention has been paid to the quality of the resulting…

化学物理 · 物理学 2025-09-12 Anna Baranova , Neepa T. Maitra

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

Recent progress has been made in capturing spectral features of electronic states of double-excitation character in time-dependent density functional theory (TDDFT) through a frequency-dependent kernel. While it might appear that this…

化学物理 · 物理学 2026-05-04 Dhyey Ray , Anna Baranova , Davood B. Dar , Neepa T. Maitra

The role of the exchange-correlation potential and the exchange-correlation kernel in the calculation of excitation energues from time-dependent density functional theory is studied. Excitation energies of the He and Be atoms are…

材料科学 · 物理学 2007-05-23 Martin Petersilka , E. K. U. Gross , Kieron Burke

We investigate the adiabatic approximation to the exact-exchange kernel for calculating correlation energies within the adiabatic-connection fluctuation-dissipation framework of time-dependent density functional theory. A numerical study is…

化学物理 · 物理学 2023-05-12 Maria Hellgren , Lucas Baguet

We discuss the physical properties and accuracy of three distinct dynamical (ie, frequency-dependent) kernels for the computation of optical excitations within linear response theory: i) an a priori built kernel inspired by the dressed…

化学物理 · 物理学 2020-11-11 Juliette Authier , Pierre-François Loos

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 investigate an extension of excited state mean-field theory in which the energy expression is augmented with density functional components in an effort to include the effects of weak electron correlations. The approach remains…

化学物理 · 物理学 2020-02-05 Luning Zhao , Eric Neuscamman

The adiabatic approximation in time-dependent density functional theory (TDDFT) yields reliable excitation spectra with great efficiency in many cases, but fundamentally fails for states of double excitation character. We discuss how…

化学物理 · 物理学 2015-05-27 Peter Elliott , Sharma Goldson , Chris Canahui , Neepa T. Maitra

In the construction of diabatic vibronic Hamiltonians for quantum dynamics in the excited-state manifold of molecules, the coupling constants are often extracted solely from information on the excited-state energies. Here, a new protocol is…

化学物理 · 物理学 2018-04-02 Maria Fumanal , Felix Plasser , Sebastian Mai , Chantal Daniel , Etienne Gindensperger

The performance of several common approximations for the exchange-correlation kernel within time-dependent density-functional theory is tested for elementary excitations in the homogeneous electron gas. Although the adiabatic local-density…

材料科学 · 物理学 2007-05-23 Krzysztof Tatarczyk , Arno Schindlmayr , Matthias Scheffler

A review of the approximations in any time-dependent density functional calculation of excitation energies is given. The single-pole approximation for the susceptibility is used to understand errors in popular approximations for the…

材料科学 · 物理学 2007-05-23 Kieron Burke , Martin Petersilka , E. K. U. Gross

We consider an analytically solvable model of two interacting electrons that allows for the calculation of the exact exchange-correlation kernel of time-dependent density functional theory. This kernel, as well as the corresponding density…

强关联电子 · 物理学 2017-05-04 Luis Cort , Daniel Karlsson , Giovanna Lani , Robert van Leeuwen

Specific matrix elements of exchange and correlation kernels in time-dependent density-functional theory are computed. The knowledge of these matrix elements not only constraints approximate time-dependent functionals, but also allows to…

材料科学 · 物理学 2009-10-31 X. Gonze , M. Scheffler

The interplay of nuclear and electronic dynamics characterizes the multi-dimensional electronic spectra of various molecular and solid-state systems. Theoretically, the observable effect of such interplay can be accounted for by response…

量子物理 · 物理学 2023-02-07 Filippo Troiani

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 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

In this work we consider a numerically solvable model of a two-electron diatomic molecule to study a recently proposed approximation based on the density-functional theory of so-called strictly correlated electrons (SCE). We map out the…

强关联电子 · 物理学 2019-02-13 Luis Cort , Soeren Ersbak Bang Nielsen , Robert van Leeuwen

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
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