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The exchange-correlation hole density of the infinitely stretched (dissociated) hydrogen molecule can be cast into a closed analytical form by using its exact wave function. This permits to obtain an explicit exchange-correlation energy…

化学物理 · 物理学 2017-11-16 Eduard Matito , David Casanova , Xabier Lopez , Jesus M. Ugalde

We study charge transfer between donor-acceptor molecules subject to a mirror symmetry constraint in the presence of a dissipative environment. The symmetry requirement leads to the breakdown of the standard single reaction coordinate…

软凝聚态物质 · 物理学 2007-05-23 M. R. D'Orsogna , R. Bruinsma

Electrons in zero external magnetic field can be studied with density functional theory (DFT) or with spin-DFT (SDFT). The latter is normally used for open shell systems because its approximations appear to model better the exchange and…

化学物理 · 物理学 2022-04-06 Timothy Callow , Benjamin Pearce , Nikitas Gidopoulos

In modeling low-dimensional electronic nanostructures, the evaluation of the electron-electron interaction is a challenging task. Here we present an accurate and practical density-functional approach to the two-dimensional many-electron…

强关联电子 · 物理学 2010-10-29 S. Pittalis , E. Rasanen

The recently proposed Partition Theory (PT) [J.Phys.Chem.A 111, 2229 (2007)] is illustrated on a simple one-dimensional model of a heteronuclear diatomic molecule. It is shown that a sharp definition for the charge of molecular fragments…

其他凝聚态物理 · 物理学 2016-09-28 Morrel H. Cohen , Adam Wasserman , Roberto Car , Kieron Burke

We investigate charge transfer in prototypical molecular donor-acceptor compounds using hybrid density functional theory (DFT) and the GW approximation at the perturbative level (G0W0) and at full self-consistency (sc-GW). For the systems…

材料科学 · 物理学 2014-09-23 Fabio Caruso , Viktor Atalla , Xinguo Ren , Angel Rubio , Matthias Scheffler , Patrick Rinke

This study applies response theory to investigate electron charge dynamics, with a particular focus on charge separation. We analytically assess the strengths and limitations of linear and quadratic response theories in describing charge…

材料科学 · 物理学 2026-02-11 Lionel Lacombe , Lucia Reining , Vitaly Gorelov

When a molecule dissociates, the exact Kohn-Sham (KS) and Pauli potentials may form step structures. Reproducing these steps correctly is central for the description of dissociation and charge-transfer processes in density functional theory…

化学物理 · 物理学 2021-03-23 Jakub Kocák , Eli Kraisler , Axel Schild

As a proof of principle, self-consistent Kohn--Sham calculations are performed with the exact exchange-correlation functional. Finding the exact functional for even one trial density requires solving the interacting Schr\"odinger equation…

化学物理 · 物理学 2014-07-14 Lucas O. Wagner , Thomas E. Baker , E. M. Stoudenmire , Kieron Burke , Steven R. White

Energy gaps are crucial aspects of the electronic structure of finite and extended systems. Whereas much is known about how to define and calculate charge gaps in density-functional theory (DFT), and about the relation between these gaps…

材料科学 · 物理学 2015-05-14 K. Capelle , G. Vignale , C. A. Ullrich

Reduced-density-matrix-functional theory is applied to open-shell systems. We introduce a spin-restricted formulation by appropriately expressing approximate correlation-energy functionals in terms of spin-dependent occupation numbers and…

强关联电子 · 物理学 2007-05-23 N. N. Lathiotakis , N. Helbig , E. K. U. Gross

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

We discuss the transition from a metal to charge or spin insulating phases characterized by the opening of a gap in the charge or spin excitation spectra, respectively. These transitions are addressed within the context of two exactly…

凝聚态物理 · 物理学 2009-10-22 F. Gebhard , A. Girndt , A. E. Ruckenstein

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

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

凝聚态物理 · 物理学 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an {\it exact} analytical solution of the probem, in…

介观与纳米尺度物理 · 物理学 2015-05-14 I. S. Burmistrov , Yuval Gefen , M. N. Kiselev

We consider a one-dimensional chain consisting of an interacting area coupled to non-interacting leads. Within the area, interaction is mediated by a local on-site repulsion. Using real time evolution within the Density Matrix…

强关联电子 · 物理学 2015-05-13 Tobias Ulbricht , Peter Schmitteckert

The exact ground-state exchange-correlation functional of Kohn-Sham density functional theory yields the exact transmission through an Anderson junction at zero bias and temperature. The exact impurity charge susceptibility is used to…

介观与纳米尺度物理 · 物理学 2015-06-03 Zhenfei Liu , Justin P. Bergfield , Kieron Burke , Charles A. Stafford

Electron fractionalization into spinons and chargeons plays a crucial role in 2D models of strongly correlated electrons. In this paper we show that spin-charge separation is not a phenomenon confined to lower dimensions but, rather, we…

强关联电子 · 物理学 2012-02-01 M. Cristina Diamantini , Carlo A. Trugenberger

The problem of degenerate ground states of open-shell atoms is investigated in spin-restricted and unrestricted density functional theory using the exact exchange energy functional. For the spin-unrestricted case, spurious energy splittings…

原子物理 · 物理学 2009-11-11 S. Pittalis , S. Kurth , E. K. U. Gross