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Related papers: Exchange-correlation potentials and local energies…

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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

The incorporation of a strong interaction regime within the approximate, semilocal exchange-correlation functionals still remains a very challenging task for density functional theory. One of the promising attempts in this direction is the…

Other Condensed Matter · Physics 2023-09-20 Subrata Jana , Szymon Smiga , Lucian A. Constantin , Prasanjit Samal

We develop relativistic short-range exchange energy functionals for four-component relativistic range-separated density-functional theory using a Dirac-Coulomb Hamiltonian in the no-pair approximation. We show how to improve the short-range…

Chemical Physics · Physics 2020-06-24 Julien Paquier , Emmanuel Giner , Julien Toulouse

In density functional theory (DFT), the exchange-correlation functional can be exactly expressed by the adiabatic connection integral. It has been noticed that as lambda goes to infinity, the lambda^(-1) term in the expansion of W(lambda)…

Other Condensed Matter · Physics 2015-05-13 Zhenfei Liu , Kieron Burke

We calculate the short-range exchange-correlation energy of the uniform electron gas with two modified electron-electron interactions. While the short-range exchange functionals are calculated analytically, Coupled-Cluster and…

Materials Science · Physics 2016-08-16 Julien Toulouse , Andreas Savin , Heinz-Jürgen Flad

We calculate the correlation energy of a two-dimensional homogeneous electron gas using several available approximations for the exchange-correlation kernel $f_{\rm xc}(q,\omega)$ entering the linear dielectric response of the system. As in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Asgari , M. Polini , B. Davoudi , M. P. Tosi

Local density approximation for the exchange energy is made for treatment of excited-states in density-functional theory. It is shown that taking care of the state-dependence of the LDA exchange energy functional leads to accurate…

Other Condensed Matter · Physics 2007-05-23 Manoj K. Harbola , Prasanjit Samal

An exchange-correlation energy functional beyond the local density approximation, based on the exchange-correlation kernel of the homogeneous electron gas and originally introduced by Kohn and Sham, is considered for electronic structure…

Condensed Matter · Physics 2016-08-31 Maurizia Palummo , Giovanni Onida , Rodolfo Del Sole

An adiabatic-connection fluctuation-dissipation theorem approach based on a range separation of electron-electron interactions is proposed. It involves a rigorous combination of short-range density functional and long-range random phase…

Materials Science · Physics 2009-03-03 Julien Toulouse , Iann C. Gerber , Georg Jansen , Andreas Savin , János G. Ángyán

Time-dependent density functional theory continues to draw a large number of users in a wide range of fields exploring myriad applications involving electronic spectra and dynamics. Although in principle exact, the predictivity of the…

Chemical Physics · Physics 2023-08-14 Lionel Lacombe , Neepa T. Maitra

We present a general method based on nonlinear response theory to obtain effective interactions between ions in an electron gas which can also be applied to other systems where an adiabatic separation of time-scales is possible. Nonlinear…

Materials Science · Physics 2007-10-05 Simon Gravel , N. W. Ashcroft

We present a new density-functional method of the self-consistent electronic-structure calculation which does not exploit any local density approximations (LDA). We use the exchange-correlation energy which consists of the exact exchange…

Statistical Mechanics · Physics 2009-10-30 Takao Kotani

We investigate the behavior of three-dimensional (3D) exchange-correlation energy functional approximations of density functional theory in anisotropic systems with two-dimensional (2D) character. Using two simple models, quasi-2D electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yong-Hoon Kim , In-Ho Lee , Satyadev Nagaraja , Jean-Pierre Leburton , Randolph Q. Hood , Richard M. Martin

We found analytical solution for the time evolution of localized electron density in a system of two coupled single-level quantum dots (QDs) connected with continuous spectrum states in the presence of Coulomb interaction. This solution…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 P. I. Arseev , N. S. Maslova , V. N. Mantsevich

We study non-adiabatic charge pumping through single-level quantum dots taking into account Coulomb interactions. We show how a truncated set of equations of motion can be propagated in time by means of an auxiliary-mode expansion. This…

Mesoscale and Nanoscale Physics · Physics 2012-01-12 Alexander Croy , Ulf Saalmann , Alexis R. Hernández , Caio H. Lewenkopf

We present calculations of the correlation energies of crystalline solids and isolated systems within the adiabatic-connection fluctuation-dissipation formulation of density-functional theory. We perform a quantitative comparison of a set…

Materials Science · Physics 2016-07-29 Christopher E. Patrick , Kristian S. Thygesen

The possibility of finding multistability in the density and current of an interacting nanoscale junction coupled to semi-infinite leads is studied at various levels of approximation. The system is driven out of equilibrium by an external…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 E. Khosravi , A. -M. Uimonen , A. Stan , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

We identify peak and valley structures in the exact exchange-correlation potential of time-dependent density functional theory that are crucial for time-resolved electron scattering in a model one-dimensional system. These structures are…

Chemical Physics · Physics 2018-01-03 Yasumitsu Suzuki , Lionel Lacombe , Kazuyuki Watanabe , Neepa T. Maitra

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