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The effect of the exchange-correlation potential in ab initio electron transport calculations is investigated by constructing optimized effective potentials (OEP) using different energy functionals or the electron density from second-order…

Mesoscale and Nanoscale Physics · Physics 2009-08-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

The exchange-correlation energy in Kohn-Sham density functional theory can be expressed exactly in terms of the change in the expectation of the electron-electron repulsion operator when, in the many-electron hamiltonian, this same operator…

Strongly Correlated Electrons · Physics 2009-08-05 Paola Gori-Giorgi , Giovanni Vignale , Michael Seidl

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…

Condensed Matter · Physics 2009-10-30 G. Vignale , C. A. Ullrich , S. Conti

An approximate method based on adiabatic time dependent density functional theory (TDDFT) is presented, that allows for the description of the electron dynamics in nanoscale junctions under arbitrary time dependent external potentials. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Y. Wang , C. -Y. Yam , G. H. Chen , Th. Frauenheim , T. A. Niehaus

The Kohn-Sham approach to time-dependent density-functional theory (TDDFT) can be formulated, in principle exactly, by invoking the force-balance equation for the density, which leads to an explicit expression for the exchange-correlation…

Chemical Physics · Physics 2021-09-15 Walter Tarantino , Carsten A. Ullrich

We prove the existence of the exact density-functional theory formalism for open electronic systems, and develop subsequently an exact time-dependent density-functional theory (TDDFT) formulation for the dynamic response. The TDDFT…

Chemical Physics · Physics 2007-05-23 Xiao Zheng , GuanHua Chen

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)]…

Other Condensed Matter · Physics 2011-07-27 Jason D. Goodpaster , Taylor A. Barnes , Thomas F. Miller

We consider density functionals for exchange and correlation energies in two-dimensional systems. The functionals are constructed by making use of exact constraints for the angular averages of the corresponding exchange and correlation…

Strongly Correlated Electrons · Physics 2010-02-25 E. Rasanen , S. Pittalis

We introduce an orbital-optimized double-hybrid (DH) scheme using the optimized-effective-potential (OEP) method. The orbitals are optimized using a local potential corresponding to the complete exchange-correlation energy expression…

A practical computational scheme based on time-dependent density functional theory (TDDFT) and ultrasoft pseudopotential (USPP) is developed to study electron dynamics in real time. A modified Crank-Nicolson time-stepping algorithm is…

Materials Science · Physics 2007-05-23 Xiaofeng Qian , Ju Li , Xi Lin , Sidney Yip

Interpolating the exchange-correlation energy along the density-fixed adiabatic connection of density functional theory is a promising way to build approximations that are not biased towards the weakly correlated regime. These…

Strongly Correlated Electrons · Physics 2020-12-10 Derk P. Kooi , Paola Gori-Giorgi

Occupation numbers of natural orbitals capture the physics of strong electron correlations in momentum space. A Natural Orbital Density Functional Theory based on the antisymmetrized geminal product provides these occupation numbers and the…

Strongly Correlated Electrons · Physics 2014-05-06 B. Barbiellini

In the presence of a (time-dependent) macroscopic electric field the electron dynamics of dielectrics cannot be described by the time-dependent density only. We present a real-time formalism that has the density and the macroscopic…

Materials Science · Physics 2016-07-27 M. Grüning , D. Sangalli , C. Attaccalite

The performance of time-independent, orbital optimized calculations of excited states is assessed with respect to charge transfer excitations in organic molecules in comparison to the linear-response time-dependent density functional theory…

Chemical Physics · Physics 2024-05-22 Elli Selenius , Alec Elías Sigurdarson , Yorick L. A. Schmerwitz , Gianluca Levi

Time-dependent density-functional theory (TDDFT) is a formally exact approach to the time-dependent electronic many-body problem which is widely used for calculating excitation energies. We present a survey of the fundamental framework,…

Materials Science · Physics 2014-01-29 Carsten A. Ullrich , Zeng-hui Yang

In time-dependent density-functional theory, exchange and correlation (xc) beyond the adiabatic local density approximation can be described in terms of viscoelastic stresses in the electron liquid. In the time domain, this leads to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. O. Wijewardane , C. A. Ullrich

Phase shifts for single-channel elastic electron-atom scattering are derived from time-dependent density functional theory. The H$^-$ ion is placed in a spherical box, its discrete spectrum found, and phase shifts deduced. Exact-exchange…

Materials Science · Physics 2009-11-13 Meta van Faassen , Adam Wasserman , Eberhard Engel , Fan Zhang , Kieron Burke

Quantum-electrodynamical density-functional theory (QEDFT) provides a promising avenue for exploring complex light-matter interactions in optical cavities for real materials. Similar to conventional density-functional theory, the Kohn-Sham…

Computational Physics · Physics 2024-02-16 I-Te Lu , Michael Ruggenthaler , Nicolas Tancogne-Dejean , Simone Latini , Markus Penz , Angel Rubio

An exchange-correlation energy functional $ E_{\mathrm xc} $ and the resultant exchange-correlation potential $ v_{\mathrm xc}({\bf r}) $ in density-functional theory are proposed using orbital-dependent coupling-constant-averaged pair…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroshi Yasuhara , Masahiko Higuchi , Yoshiyuki Kawazoe

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
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