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We calculate the electronic structure of several atoms and small molecules by direct minimization of the Self-Interaction Corrected Local Density Approximation (SIC-LDA) functional. To do this we first derive an expression for the gradient…

Condensed Matter · Physics 2009-10-28 S. Goedecker , C. J. Umrigar

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…

Chemical Physics · Physics 2026-05-22 Kimberly J. Daas , Steven Crisostomo , Kieron Burke

Charge transfer complexes are materials with a wide range of interesting optical and electronic properties. They have seen a great deal of research over the past decade, both in device development as well as research to elucidate the…

Materials Science · Physics 2024-06-04 Satwik Ramanjanappa , Edward R Van Keuren

We demonstrate that ground state energies approaching chemical accuracy can be obtained by combining the adiabatic connection fluctuation-dissipation theorem (ACFDT) with time-dependent density functional theory (TDDFT). The key ingredient…

Materials Science · Physics 2014-05-29 Thomas Olsen , Kristian S. Thygesen

The Quantum-Electrodynamical Time-Dependent Density Functional Theory (QED-TDDFT) equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid. Applications for molecules in cavities…

Quantum Physics · Physics 2022-11-30 Justin Malave , Alexander Ahrens , Daniel Pitagora , Cody Covington , Kálmán Varga

Photo-active systems are characterized by their capacity of absorbing light energy and transforming it. Usually, more than one chromophore is involved in the light absorption and excitation transport processes in complex systems.…

Materials Science · Physics 2019-05-21 Joaquim Jornet-Somoza , Irina Lebedeva

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 local density approximation (LDA) constructed through quantum Monte Carlo calculations of the homogeneous electron gas (HEG) is the most common approximation to the exchange-correlation functional in density functional theory. We…

Other Condensed Matter · Physics 2021-01-15 Mike Entwistle , Matthew Hodgson , Jack Wetherell , Bradley Longstaff , James Ramsden , Rex Godby

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

We adopted the time-dependent density functional theory (TDDFT) within the linear augmented Slater-type orbitals (LASTO) basis and the cluster averaging method to compute the {\color{red}excitation} spectra of III-V ternary alloys with…

Computational Physics · Physics 2017-09-14 Zhenhua Ning , Ching-Tarng Liang , Yia-Chung Chang

A widely used approximation to the exchange-correlation functional in density functional theory is the local density approximation (LDA), typically derived from the properties of the homogeneous electron gas (HEG). We previously introduced…

Other Condensed Matter · Physics 2018-06-27 Mike Entwistle , Michele Casula , Rex Godby

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

We discuss a possible form for a theory akin to local density functional theory, but able to produce van der Waals energies in a natural fashion. The usual Local Density Approximation (LDA) for the exchange and correlation energy $E_{xc}$…

Soft Condensed Matter · Physics 2007-05-23 John F. Dobson

Due to its favorable computational efficiency time-dependent (TD) density functional theory (DFT) enables the prediction of electronic spectra in a high-throughput manner across chemical space. Its predictions, however, can be quite…

The homogeneous electron gas (HEG) is a key ingredient in the construction of most exchange-correlation functionals of density-functional theory. Often, the energy of the HEG is parameterized as a function of its spin density $n$, leading…

Chemical Physics · Physics 2021-02-10 Susi Lehtola , Miguel A. L. Marques

This chapter is devoted to exact conditions in time-dependent density functional theory. Many conditions have been derived for the exact ground-state density functional, and several have played crucial roles in the construction of popular…

Other Condensed Matter · Physics 2015-03-18 Lucas O. Wagner , Kieron Burke

We point out that the local density approximation (LDA) of Oliva is an adaptation of the Thomas-Fermi method, and is a good approximation when $\varepsilon = \hbar\omega/kT <<1$. For the case of scattering length $a > 0$, the LDA leads to a…

Condensed Matter · Physics 2009-10-28 T. T. Chou , Chen Ning Yang , L. H. Yu

We present the optical spectra of Ge$_{1-x}$Si$_x$ alloy nanocrystals calculated with time-dependent density-functional theory in the adiabatic local-density ap proximation (TDLDA). The spectra change smoothly as a function of the…

Materials Science · Physics 2013-05-29 Silvana Botti , Hans-Christian Weissker , Miguel A. L. Marques

Transverse deflecting structures (TDS) are widely used in accelerator physics to measure the longitudinal density of particle bunches. When used in combination with a dispersive section, the whole longitudinal phase space density can be…

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