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相关论文: Sum-rules of the response potential in the strongl…

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Using the formalism of the conditional amplitude, we study the response part of the exchange-correlation potential in the strong-coupling limit of density functional theory, analysing its peculiar features and comparing it with the response…

化学物理 · 物理学 2019-03-26 Sara Giarrusso , Stefan Vuckovic , Paola Gori-Giorgi

Improving the accuracy and thus broadening the applicability of electronic density functional theory (DFT) is crucial to many research areas, from material science, to theoretical chemistry, biophysics and biochemistry. In the last three…

强关联电子 · 物理学 2019-03-27 Paola Gori-Giorgi , Michael Seidl

We generalize the exact strong-interaction limit of the exchange-correlation energy of Kohn-Sham density functional theory to open systems with fluctuating particle numbers. When used in the self-consistent Kohn-Sham procedure on…

强关联电子 · 物理学 2015-06-16 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

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…

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to approximate the exchange-correlation energy of the restricted Kohn-Sham scheme. Our approximation corresponds to a highly non-local density…

强关联电子 · 物理学 2012-12-12 Francesc Malet , Paola Gori-Giorgi

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

凝聚态物理 · 物理学 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

强关联电子 · 物理学 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

材料科学 · 物理学 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to construct an approximation for the exchange-correlation term of the Kohn-Sham approach. The resulting exchange-correlation potential is able to…

Kohn-Sham (KS) density functional theory (DFT) is a very efficient method for calculating various properties of solids as, for instance, the total energy, the electron density, or the electronic band structure. The KS-DFT method leads to…

This is a comprehensive review of the strong-interaction limit of density functional theory. It covers the derivation of the limiting strictly correlated electrons (SCE) functional from exact Hohenberg-Kohn DFT, basic aspects of SCE physics…

化学物理 · 物理学 2022-02-22 Gero Friesecke , Augusto Gerolin , Paola Gori-Giorgi

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

材料科学 · 物理学 2013-04-03 Eli Kraisler , Leeor Kronik

We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small…

化学物理 · 物理学 2012-11-14 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

Aiming to combine density functional theory (DFT) and wavefunction theory, we study a mapping from the many-body interacting system to an effectively-interacting Kohn-Sham system instead of a non-interacting Kohn-Sham system. Because a…

化学物理 · 物理学 2020-02-19 Shunsuke A. Sato , Angel Rubio

Friedel's sum rule provides an explicit expression for a conductance functional, $\mathcal{G}[n]$, valid for the single impurity Anderson model at zero temperature. The functional is special because it does not depend on the interaction…

介观与纳米尺度物理 · 物理学 2011-06-21 P. Tröster , P. Schmitteckert , F. Evers

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…

强关联电子 · 物理学 2009-08-05 Paola Gori-Giorgi , Giovanni Vignale , Michael Seidl

The accurate description of open-shell molecules, in particular of transition metal complexes and clusters, is still an important challenge for quantum chemistry. While density-functional theory (DFT) is widely applied in this area, the…

化学物理 · 物理学 2012-10-26 Christoph R. Jacob , Markus Reiher

An approximate solution to the time-dependent density functional theory (TDDFT) response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition…

材料科学 · 物理学 2009-11-07 H. Appel , E. K. U. Gross , K. Burke

An interesting fundamental problem in density-functional theory of electronic structure of matter is to construct the exact Kohn-Sham (KS) potential for a given density. The exact potential can then be used to assess the accuracy of…

原子与分子团簇 · 物理学 2019-05-22 Ashish Kumar , Rabeet Singh , Manoj K. Harbola

It has long been postulated that within density-functional theory (DFT) the total energy of a finite electronic system is convex with respect to electron count, so that 2 E_v[N_0] <= E_v[N_0 - 1] + E_v[N_0 + 1]. Using the…

化学物理 · 物理学 2023-12-25 Andrew C. Burgess , Edward Linscott , David D. O'Regan
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