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Autoionizing resonances that arise from the interaction of a bound single-excitation with the continuum can be accurately captured with the presently used approximations in time-dependent density functional theory (TDDFT), but those arising…

材料科学 · 物理学 2019-03-27 August J. Krueger , Neepa T. Maitra

We analyze possible nonlinear exciton-exciton correlation effects in the optical response of semiconductors by using a time-dependent density-functional theory (TDDFT) approach. For this purpose, we derive the nonlinear (third-order) TDDFT…

材料科学 · 物理学 2015-06-16 Volodymyr Turkowski , Michael N. Leuenberger

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

In this article, we analyze the Dyson equation for the density-density response function (DDRF) that plays a central role in linear response time-dependent density functional theory (LR-TDDFT). First, we present a functional analytic…

数学物理 · 物理学 2025-03-24 Thiago Carvalho Corso

We present a comprehensive theoretical description for an irradiation of an ultrashort light pulse normally on thin materials based on first-principles time-dependent density functional theory. As the most elaborate scheme, we develop a…

光学 · 物理学 2018-12-31 Shunsuke Yamada , Masashi Noda , Katsuyuki Nobusada , Kazuhiro Yabana

Linear-response time-dependent (TD) density-functional theory (DFT) has been implemented in the pseudopotential wavelet-based electronic structure program BigDFT and results are compared against those obtained with the all-electron…

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…

When running time-dependent density functional theory (TDDFT) calculations for real-time simulations of non-equilibrium dynamics, the user has a choice of initial Kohn-Sham state, and typically a Slater determinant is used. We explore the…

化学物理 · 物理学 2016-08-24 Johanna I. Fuks , Soeren E. B. Nielsen , Michael Ruggenthaler , Neepa T. Maitra

The time-dependent density functional (TDDFT) equations may be written either for the Kohn-Sham orbitals in Hilbert space or for the single electron density matrix in Liouville space. A collective-oscillator, quasiparticle, representation…

强关联电子 · 物理学 2009-11-10 Oleg Berman , Shaul Mukamel

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

Inspired by the formulation of quantum-electrodynamical time-dependent density functional theory (QED-TDDFT) by Rubio and coworkers, we propose an implementation that uses dimensionless amplitudes for describing the photonic contributions…

材料科学 · 物理学 2021-08-20 Junjie Yang , Qi Ou , Zheng Pei , Hua Wang , Binbin Weng , Kieran Mullen , Yihan Shao

We show that by nullifying the short-wave response to the long-wave excitation (local-field-effects), the adiabatic time-dependent density-functional theory (TDDFT) of optics of semiconductors and insulators can be brought into excellent…

材料科学 · 物理学 2013-08-15 V. U. Nazarov , S. Kais

Time-dependent density-functional theory (TDDFT) often successfully reproduces excitation energies of finite systems, already in the adiabatic local-density approximation (ALDA). Here we show for prototypical molecular materials, i.e.,…

材料科学 · 物理学 2015-11-25 Caterina Cocchi , Claudia Draxl

Time-dependent density-functional theory (TDDFT) is widely used to describe electronic excitations in complex finite systems with large numbers of atoms, such as biomolecules and nanocrystals. The first part of this paper will give a simple…

材料科学 · 物理学 2008-08-15 C. A. Ullrich , V. Turkowski

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

A mixed quantum-classical approach to simulate the coupled dynamics of electrons and nuclei in nanoscale molecular systems is presented. The method relies on a second order expansion of the Lagrangian in time-dependent density functional…

化学物理 · 物理学 2009-11-10 T. A. Niehaus , D. Heringer , B. Torralva , Th. Frauenheim

We investigate the time an electronic excitation travels in a supermolecular setup using a measurement process in an open quantum-system framework. The approach is based on the stochastic Schr\"odinger equation and uses a Hamiltonian from…

材料科学 · 物理学 2013-12-09 Dirk Hofmann , Heiko Appel , Massimiliano Di Ventra , Stephan Kümmel

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

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

A stochastic approach to time-dependent density functional theory (TDDFT) is developed for computing the absorption cross section and the random phase approximation (RPA) correlation energy. The core idea of the approach involves…

化学物理 · 物理学 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani