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In time-dependent density-functional theory, a family of exchange-correlation kernels, known as long-range-corrected (LRC) kernels, have shown promise in the calculation of excitonic effects in solids. We perform a systematic assessment of…

Materials Science · Physics 2017-05-31 Young-Moo Byun , Carsten A. Ullrich

We investigate the description of excitonic effects within time-dependent density-functional theory (TDDFT). The exchange-correlation kernel f_xc introduced in TDDFT allows a clear separation of quasiparticle and excitonic effects. Using a…

Other Condensed Matter · Physics 2007-05-23 R. Stubner , I. V. Tokatly , O. Pankratov

The properties of hydrogen under extreme conditions are important for many applications, including inertial confinement fusion and astrophysical models. A key quantity is given by the electronic density response to an external perturbation,…

Computational Physics · Physics 2022-08-17 Maximilian Böhme , Zhandos Moldabekov , Jan Vorberger , Tobias Dornheim

Spectroscopies that probe electronic excitations from core levels into unoccupied orbitals, such as X-ray absorption spectroscopy and electron energy loss spectroscopy, are widely used to gain insight into the electronic and chemical…

Materials Science · Physics 2022-09-12 Marcus Annegarn , Juhan Matthias Kahk , Johannes Lischner

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…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Dmitry R. Gulevich , Yaroslav V. Zhumagulov , Alexei V. Vagov , Vasili Perebeinos

The charge-density response of extended materials is usually dominated by the collective oscillation of electrons, the plasmons. Beyond this feature, however, intriguing many-body effects are observed. They cannot be described by one of the…

Materials Science · Physics 2018-12-20 Martin Panholzer , Matteo Gatti , Lucia Reining

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…

Materials Science · Physics 2007-05-23 Martin Petersilka , E. K. U. Gross , Kieron Burke

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Ullrich , I. V. Tokatly

Small-wavevector excitations in Coulomb-interacting systems can be decomposed into the high-energy collective longitudinal plasmon and the low-energy single-electron excitations. At the critical wavevector and corresponding frequency where…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Niraj K. Nepal , Santosh Adhikari , Bimal Neupane , Shiqi Ruan , Santosh Neupane , Adrienn Ruzsinszky

The accurate description of the optical spectra of insulators and semiconductors remains an important challenge for time-dependent density-functional theory (TDDFT). Evidence has been given in the literature that TDDFT can produce bound as…

Materials Science · Physics 2015-06-04 Zeng-hui Yang , Yonghui Li , Carsten A. Ullrich

We put forward new approach for the development of a non-local density functional by a direct modeling of the shape of exchange-correlation (xc) hole in inhomogeneous systems. The functional is aimed at giving an accurate xc-energy and an…

Other Condensed Matter · Physics 2013-08-05 Klaas J. H. Giesbertz , Robert van Leeuwen , Ulf von Barth

To extend the applicability of density functional theory for superconductors (SCDFT) to systems with significant particle-hole asymmetry, we construct a new exchange-correlation kernel entering the gap equation. We show that the kernel is…

Superconductivity · Physics 2013-07-22 Ryosuke Akashi , Ryotaro Arita

Time-Dependent Density Functional Theory (TDDFT) has been currently established as a computationally cheaper, yet effective, alternative to the Many-Body Perturbation Theory (MBPT) for calculating the optical properties of solids. Within…

Materials Science · Physics 2026-04-13 M. Arruabarrena , A. Leonardo , A. Ayuela

Starting from the many-body Bethe-Salpeter equation we derive an exchange-correlation kernel $f_{xc}$ that reproduces excitonic effects in bulk materials within time-dependent density functional theory. The resulting $f_{xc}$ accounts for…

Condensed Matter · Physics 2010-07-01 Lucia Reining , Valerio Olevano , Angel Rubio , Giovanni Onida

Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gross introduced time dependent density functional theory…

Analysis of PDEs · Mathematics 2021-02-24 Joseph W. Jerome

Charge transfer plays a crucial role in many processes of interest in physics, chemistry, and bio-chemistry. In many applications the size of the systems involved calls for time-dependent density functional theory (TDDFT) to be used in…

Chemical Physics · Physics 2017-10-11 Neepa T. Maitra

We present a detailed study of different exchange-correlation (xc) functionals in describing the dynamical properties of finite systems. For that purpose, we calculated the static polarizabilities, ionization potentials and optical…

Soft Condensed Matter · Physics 2009-11-07 M. A. L. Marques , Alberto Castro , Angel Rubio

Within the framework of ab initio time-dependent density-functional theory (TD-DFT), we propose a static approximation to the exchange-correlation kernel based on the jellium-with-gap model. This kernel accounts for electron-hole…

We investigate a number of formal properties of the adiabatic strictly-correlated electrons (SCE) functional, relevant for time-dependent potentials and for kernels in linear response time-dependent density functional theory. Among the…

Strongly Correlated Electrons · Physics 2016-08-24 Giovanna Lani , Simone di Marino , Augusto Gerolin , Robert van Leeuwen , Paola Gori-Giorgi

We present a range-separated linear-response time-dependent density-functional theory (TDDFT) which combines a density-functional approximation for the short-range response kernel and a frequency-dependent second-order Bethe-Salpeter…

Chemical Physics · Physics 2016-03-23 Elisa Rebolini , Julien Toulouse