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We study the competition between the exchange and the direct Coulomb interaction near the edge of a two-dimensional electron gas in a strong magnetic field using density-functional theory in a local approximation for the exchange-energy…

凝聚态物理 · 物理学 2009-10-28 T. H. Stoof , Gerrit E. W. Bauer

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…

材料科学 · 物理学 2009-11-13 Meta van Faassen , Adam Wasserman , Eberhard Engel , Fan Zhang , Kieron Burke

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 $E_{xc}$…

软凝聚态物质 · 物理学 2007-05-23 John F. Dobson

Inspired by earlier work on the band-gap problem in insulators, we reexamine the treatment of strongly correlated Hubbard-type models within density-functional theory. In contrast to previous studies, the density is fully parametrized by…

强关联电子 · 物理学 2008-02-03 Arno Schindlmayr , R. W. Godby

We introduce a short-range correlation density functional defined with respect to a multi-determinantal reference which is meant to be used in a multi-determinantal extension of the Kohn-Sham scheme of density functional theory based on a…

化学物理 · 物理学 2007-05-23 Julien Toulouse , Paola Gori-Giorgi , Andreas Savin

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…

材料科学 · 物理学 2007-05-23 Martin Petersilka , E. K. U. Gross , Kieron Burke

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Na Sai , Michael Zwolak , Giovanni Vignale , Massimiliano Di Ventra

It is found that, in closed-$l$-subshell atoms, the exact local exchange potential of the density functional theory is very well represented, within the region of every atomic shell, by each of the suitably shifted potentials obtained with…

原子物理 · 物理学 2009-03-17 M. Cinal

The asymptotics of the Kohn-Sham (KS) exact exchange potential $V_x(z)$ of a jelliumlike semi-infinite metal is investigated, in the framework of the optimized-effective-potential formalism of density-functional theory. Our numerical…

强关联电子 · 物理学 2021-10-20 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

One of the most powerful strategies to address properties of real many-body systems is to incorporate data obtained for models, for example, to use data of the homogeneous electron gas in order to build the Local Density Approximation for…

材料科学 · 物理学 2026-05-05 Muhammed Hüseyin Güneş , Ayoub Aouina , Vitaly Gorelov , Matteo Gatti , Lucia Reining

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…

化学物理 · 物理学 2017-05-11 Stefan Vuckovic , Paola Gori-Giorgi

Exact density functionals for the exchange and correlation energies are approximated in practical calculations for the ground-state electronic structure of a many-electron system. An important exact constraint for the construction of…

The one-particle Green function of a many-electron system is traditionally formulated within the self-energy picture. A different formalism was recently proposed, in which the self-energy is replaced by a dynamical exchange-correlation…

强关联电子 · 物理学 2025-05-27 F. Aryasetiawan

We propose a new generalised Kohn-Sham or constrained hybrid method, where the exchange potential is the (equally weighted) average of the nonlocal Fock exchange term and the self-interaction-corrected exchange potential, as obtained from…

化学物理 · 物理学 2022-01-05 Thomas C. Pitts , Nektarios N. Lathiotakis , Nikitas I. Gidopoulos

The dynamical transverse magnetic Kohn-Sham susceptibility calculated within time-dependent density functional theory shows a fairly linear behavior for a finite energy window. This observation is used to propose a scheme where the…

材料科学 · 物理学 2015-06-23 Samir Lounis , Manuel dos Santos Dias , Benedikt Schweflinghaus

The most challenging scenario for Kohn-Sham density functional theory, that is when the electrons move relatively slowly trying to avoid each other as much as possible because of their repulsion (strong-interaction limit), is reformulated…

强关联电子 · 物理学 2015-06-05 Giuseppe Buttazzo , Luigi De Pascale , Paola Gori-Giorgi

The Hubbard model provides a test bed to investigate the complex behaviour arising from electron-electron interaction in strongly-correlated systems and naturally emerges as the foundation model for lattice density functional theory (DFT).…

强关联电子 · 物理学 2025-01-29 Eoghan Cronin , Rajarshi Tiwari , Stefano Sanvito

We propose a practical approximation to the exchange-correlation functional of (time-dependent) density functional theory for many-electron systems coupled to photons. The (time non-local) optimized effective potential (OEP) equation for…

介观与纳米尺度物理 · 物理学 2015-09-02 Camilla Pellegrini , Johannes Flick , Ilya V. Tokatly , Heiko Appel , Angel Rubio

The multi-component density functional theory is faced with the challenge of capturing various types of inter- and intra-particle exchange-correlation effects beyond those introduced by the conventional electronic exchange-correlation…

原子与分子团簇 · 物理学 2023-12-27 Nahid Sadat Riyahi , Mohammad Goli , Shant Shahbazian

Within exact electron density-functional theory, we investigate Kohn-Sham (KS) potentials, orbital energies, and non-interacting kinetic energies of the fractional ions of Li, C and F. We use quantum Monte Carlo densities as input, which…

化学物理 · 物理学 2014-11-14 Tim Gould , Julien Toulouse
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