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We study non-linear adiabatic connection paths in density-functional theory using modified electron-electron interactions that perform a long-range/short-range separation of the Coulomb interaction. These adiabatic connections allows to…

Chemical Physics · Physics 2009-11-11 Julien Toulouse , Francois Colonna , Andreas Savin

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

The performance of density functional theory depends largely on the approximation applied for the exchange functional. We propose here a novel screened exchange potential for semiconductors, with parameters based on the physical properties…

Materials Science · Physics 2021-01-04 Michael Lorke , Peter Deák , Thomas Frauenheim

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

We obtain an exact solution of the time-dependent Schroedinger equation for a two-electron system confined to a plane by an isotropic parabolic potential whose curvature is periodically modulated in time. From this solution we compute the…

Condensed Matter · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

Ab-initio simulations of quantum transport commonly focus on a central region which is considered to be connected to infinite, periodic leads through which the current flows. The electronic structure of these distant leads is normally…

Materials Science · Physics 2009-11-11 H. Mera , P. Bokes , R. Godby

The capability of density-functional theory to deal with the ground-state of strongly correlated low-dimensional systems, such as semiconductor quantum dots, depends on the accuracy of functionals developed for the exchange and correlation…

Strongly Correlated Electrons · Physics 2009-02-25 S. Pittalis , E. Rasanen , C. Proetto , E. K. U. Gross

A recently proposed density functional approach for steady-state transport through nanoscale systems (called i-DFT) is used to investigate junctions which are asymmetrically coupled to the leads and biased with asymmetric voltage drops. In…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Stefan Kurth , David Jacob

From a simplified version of the mathematical structure of the strong coupling limit of the exact exchange-correlation functional, we construct an approximation for the electronic repulsion energy at physical coupling strength, which is…

Chemical Physics · Physics 2017-05-11 Stefan Vuckovic , Paola Gori-Giorgi

We study the properties of a few-electron system confined in coupled elongated quantum dots (QDs) using a model Gaussian potential and the numerical exact diagonalization technique. In the absence of magnetic fields, as the aspect ratio $r$…

Mesoscale and Nanoscale Physics · Physics 2008-08-26 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

When one applies a type of non-Hermitian effect, constant imaginary vector potential, to disordered systems, delocalization is induced even in two or lower dimension. By using the non-Hermitian induced transition as a probe, We propose a…

Disordered Systems and Neural Networks · Physics 2017-10-23 Tsunenao Kuwae , Nobuhiko Taniguchi

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean Richert , Hans A. Weidenmuller

We find that the spin susceptibility of a two-dimensional electron system with valley degeneracy does not grow critically at low densities, at variance with experimental results [A. Shashkin et al., Phys. Rev. Lett. 96, 036403 (2006)]. We…

Strongly Correlated Electrons · Physics 2009-07-09 M. Marchi , S. De Palo , S. Moroni , Gaetano Senatore

Deorbitalization of a conventional meta-generalized-gradient exchange-correlation approximation replaces its dependence upon the Kohn-Sham kinetic energy density with a dependence on the density gradient and Laplacian. In principle, that…

Materials Science · Physics 2026-02-13 H. Francisco , B. Thapa , S. B. Trickey , A. C. Cancio

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a…

Materials Science · Physics 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross

The complex nature of electron-electron correlations is made manifest in the very simple but non-trivial problem of two electrons confined within a sphere. The description of highly non-local correlation and self-interaction effects by…

Other Condensed Matter · Physics 2016-08-16 J. Jung , P. García-González , J. E. Alvarellos , R. W. Godby

It was found by Perdew, Parr, Levy, and Balduz [Phys. Rev. Lett. {\bf 49}, 1691 (1982)] and by Sham and Schl\"uter [Phys. Rev. Lett. {\bf 51}, 1884 (1983)] that the exact Kohn-Sham exchange-correlation potential of an open system may jump…

Other Condensed Matter · Physics 2015-05-13 Paola Gori-Giorgi , Andreas Savin

This paper is devoted to dualization of dimension-theoretical results from the small scale to the large scale. So far there are two approaches for such dualization: one consisting of creating analogs of small scale concepts and the other…

Metric Geometry · Mathematics 2016-01-19 Jerzy Dydak , Atish Mitra

The conventional approaches to the inverse density functional theory problem typically assume non-degeneracy of the Kohn-Sham (KS) eigenvalues, greatly hindering their use in open-shell systems. We present a generalization of the inverse…

Chemical Physics · Physics 2024-01-09 Bikash Kanungo , Jeffrey Hatch , Paul M. Zimmerman , Vikram Gavini

The extended quasiparticle picture is adapted to non-Fermi systems by suggesting a Pad\'e approximation which interpolates between the known small scattering-rate expansion and the deviation from the Fermi energy. The first two…

Strongly Correlated Electrons · Physics 2024-02-08 K. Morawetz
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