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Physically valid and numerically efficient approximations for the exchange and correlation energy are critical for reduced density-matrix functional theory to become a widely used method in electronic structure calculations. Here we examine…

强关联电子 · 物理学 2016-03-23 A. Putaja , F. G. Eich , T. Baldsiefen , E. Rasanen

A Boltzmann equation, used to describe the evolution of the density function of a gas of photons interacting by Compton scattering with electrons at low density and non relativistic equilibrium, is considered. A truncation of the very…

偏微分方程分析 · 数学 2019-05-22 E. Cortés , M. Escobedo

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

无序系统与神经网络 · 物理学 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

凝聚态物理 · 物理学 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

We use Kohn-Sham spin-density-functional theory to study the statistics of ground-state spin and the spacing between conductance peaks in the Coulomb blockade regime for both 2D isolated and realistic quantum dots. We make a systematic…

介观与纳米尺度物理 · 物理学 2007-05-23 Hong Jiang , Denis Ullmo , Weitao Yang , Harold U. Baranger

By deriving the 3/2 dimensional Hamiltonian equations for electrons in the intense laser radiation and quasi-static transverse electric and longitudinal magnetic fields, the electron heating mechanisms are examined both for low harmonic…

等离子体物理 · 物理学 2019-07-24 Yanzeng Zhang , Sergei Krasheninnikov

In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fr\"ohlich interaction. Modern first-principles electron-phonon calculations treat the Fr\"ohlich interaction in a…

A density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for…

其他凝聚态物理 · 物理学 2007-05-23 R. J. Magyar , K. Burke

Most treatments of electron-electron correlations in dense plasmas either ignore them entirely (random phase approximation) or neglect the role of ions (jellium approximation). In this work, we go beyond both these approximations to derive…

等离子体物理 · 物理学 2020-02-05 Nathaniel R. Shaffer , Charles E. Starrett

While in principle exact, Kohn-Sham density functional theory -- the workhorse of computational chemistry -- must rely on approximations for the exchange-correlation functional. Despite staggering successes, present-day approximations still…

Two particle correlations are used to extract information about the characteristic size of the system in proton-proton and heavy ion collisions. The size of the system can be extracted from the Bose-Einstein quantum mechanical effect for…

高能物理 - 实验 · 物理学 2011-01-28 Nicolas Bock

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

化学物理 · 物理学 2009-11-10 Stephan Kümmel , John P. Perdew

According to time-dependent density functional theory, the exact exchange-correlation kernel f$_{xc}$(n, q, $\omega$) determines not only the ground-state energy but also the excited-state energies/lifetimes and time-dependent linear…

化学物理 · 物理学 2020-07-01 Adrienn Ruzsinszky , Niraj K. Nepal , J. M. Pitarke , John P. Perdew

Semi-local density functionals for the exchange-correlation energy of electrons are extensively used as it produce realistic and accurate results for finite and extended systems. The choice of techniques play crucial role in constructing…

材料科学 · 物理学 2017-11-01 Subrata Jana , Prasanjit Samal

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques (Exact Diagonalisation of rings with up to 30 sites complemented by finite size analysis) and analytic…

强关联电子 · 物理学 2009-10-31 Sylvain Capponi , Didier Poilblanc , Thierry Giamarchi

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 suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

材料科学 · 物理学 2007-05-23 Werner A. Hofer , Krisztian Palotas

A simple lattice model of a solid electrolyte presented as a xy-slab geometry system of mobile cations on a background of energetic landscape of the host system and a compensating field of uniformly distributed anions is studied. The system…

统计力学 · 物理学 2019-03-14 T. Patsahan , G. Bokun , D. di Caprio , M. Holovko , V. Vikhrenko

We consider the correlation functions in a gas of electrons moving within a thin layer on the surface of nanosize sphere. A closed form of expressions for the RKKY indirect exchange, superconducting Cooper loop and `density-density'…

介观与纳米尺度物理 · 物理学 2009-10-31 D. N. Aristov

The dielectric formalism is used to set up an approximate description of a spatially homogeneous weakly interacting Bose gas in the collision-less regime, which is both conserving and gap-less, and has coinciding poles of the…

统计力学 · 物理学 2016-08-31 Martin Fliesser , Jürgen Reidl , Péter Szépfalusy , Robert Graham
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