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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

LDA+DMFT is a novel computational technique for ab initio investigations of real materials with strongly correlated electrons, such as transition metals and their oxides. It combines the strength of conventional band structure theory in the…

Strongly Correlated Electrons · Physics 2007-05-23 K. Held , I. A. Nekrasov , G. Keller , V. Eyert , N. Blümer , A. K. McMahan , R. T. Scalettar , T. Pruschke , V. I. Anisimov , D. Vollhardt

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

We have calculated the frequency-dependent exact exchange (EXX) kernel of time-dependent (TD) density functional theory employing our recently proposed computational method based on cubic splines. With this kernel we have calculated the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Maria Hellgren , Ulf von Barth

We investigate the issue of the nonadiabatic superconductivity in uncorrelated systems. A local approximation is employed coherently with the weak dependence on the involved momenta. Our results show that nonadiabatic vertex corrections are…

Superconductivity · Physics 2009-11-07 P. Paci , E. Cappelluti , C. Grimaldi , L. Pietronero

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

Chemical Physics · Physics 2024-08-19 Kyle Bystrom , Boris Kozinsky

The adiabatic connection of density functional theory (DFT) for electronic systems is generalized here to negative values of the coupling strength $\alpha$ (with {\em attractive} electrons). In the extreme limit $\alpha\to-\infty$ a simple…

Other Condensed Matter · Physics 2015-05-14 Michael Seidl , Paola Gori-Giorgi

Time-dependent orbital-free DFT is an efficient method for calculating the dynamic properties of large scale quantum systems due to the low computational cost compared to standard time-dependent DFT. We formalize this method by mapping the…

Chemical Physics · Physics 2021-06-09 Kaili Jiang , Michele Pavanello

We investigate the construction of approximated exchange-correlation functionals by interpolating locally along the adiabatic connection between the weak- and the strong-coupling regimes, focussing on the effect of using approximate…

Chemical Physics · Physics 2017-04-05 Stefan Vuckovic , Lucas O. Wagner , Andrew M. Teale , Paola Gori-Giorgi

In the context of inhomogeneous one-dimensional finite systems, recent numerical advances [Phys. Rev. B 103, 125155 (2021)] allow us to compute the exact coupling-constant dependent exchange-correlation kernel…

Materials Science · Physics 2021-09-22 Nick D. Woods , Michael T. Entwistle , Rex W. Godby

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

Strongly Correlated Electrons · Physics 2010-07-15 I. V. Solovyev

In this contribution, we extend our framework for analyzing and visualizing correlated many-electron dynamics to non-variational, highly scalable electronic structure method. Specifically, an explicitly time-dependent electronic wave packet…

Chemical Physics · Physics 2017-04-27 Gunter Hermann , Vincent Pohl , Jean Christophe Tremblay

Strong correlation can be essentially captured with multireference wavefunction methods such as complete active space self-consistent field (CASSCF) or density matrix renormalization group (DMRG). Still, an accurate description of the…

Strongly Correlated Electrons · Physics 2022-04-06 Daria Drwal , Pavel Beran , Michał Hapka , Marcin Modrzejewski , Adam Sokół , Libor Veis , Katarzyna Pernal

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…

Chemical Physics · Physics 2009-11-10 T. A. Niehaus , D. Heringer , B. Torralva , Th. Frauenheim

Linear-response time-dependent density-functional theory (TDDFT) can describe excitonic features in the optical spectra of insulators and semiconductors, using exchange-correlation (xc) kernels behaving as $-1/k^{2}$ to leading order. We…

Materials Science · Physics 2021-08-18 Jiuyu Sun , Cheng-Wei Lee , Alina Kononov , André Schleife , Carsten A. Ullrich

Time-dependent density-functional theory (TDDFT) is a powerful tool to study the non-equilibrium dynamics of inhomogeneous interacting many-body systems. Here we show that the simple adiabatic local-spin-density approximation for the…

Strongly Correlated Electrons · Physics 2008-11-11 Wei Li , Gao Xianlong , Corinna Kollath , Marco Polini

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…

Other Condensed Matter · Physics 2009-11-11 Neepa T. Maitra , David G. Tempel

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Miquel Huix-Rotllant , Mark E. Casida

Using time-dependent current-density functional theory, we derive analytically the dynamical exchange-correlation correction to the DC conductance of nanoscale junctions. The correction pertains to the conductance calculated in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Na Sai , Michael Zwolak , Giovanni Vignale , Massimiliano Di Ventra

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