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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

We review and expand on our work to impose constraints on the effective Kohn Sham (KS) potential of local and semi-local density functional approximations. In this work, we relax a previously imposed positivity constraint, which increased…

Using Kohn-Sham density functional theory (KS-DFT), we have studied the interaction between various polyaromatic hydrocarbon molecules. The systems range from mono-cyclic benzene up to hexabenzocoronene (hbc). For several conventional…

软凝聚态物质 · 物理学 2008-07-09 O. Anatole von Lilienfeld , Denis Andrienko

We present here novel insight into exchange-correlation functionals in density functional theory, based on the viewpoint of optimal transport. We show that in the case of two electrons and in the semiclassical limit, the exact…

偏微分方程分析 · 数学 2015-03-19 Codina Cotar , Gero Friesecke , Claudia Klüppelberg

We present a rigorous formulation of the time-dependent density functional theory for interacting lattice electrons strongly coupled to cavity photons. We start with an example of one particle on a Hubbard dimer coupled to a single photonic…

强关联电子 · 物理学 2015-06-22 Mehdi Farzanehpour , I. V. Tokatly

In this chapter, we provide a review of ground-state Kohn-Sham density-functional theory of electronic systems and some of its extensions, we present exact expressions and constraints for the exchange and correlation density functionals,…

化学物理 · 物理学 2022-09-12 Julien Toulouse

We develop relativistic short-range exchange energy functionals for four-component relativistic range-separated density-functional theory using a Dirac-Coulomb Hamiltonian in the no-pair approximation. We show how to improve the short-range…

化学物理 · 物理学 2020-06-24 Julien Paquier , Emmanuel Giner , Julien Toulouse

We derive the exchange-correlation potential corresponding to the nonlocal van der Waals density functional [M. Dion, H. Rydberg, E. Schroder, D. C. Langreth, and B. I. Lundqvist, Phys. Rev. Lett. 92, 246401 (2004)]. We use this potential…

材料科学 · 物理学 2011-11-09 T. Thonhauser , Valentino R. Cooper , Shen Li , Aaron Puzder , Per Hyldgaard , David C. Langreth

In the framework of density-functional theory, several popular density functionals for exchange and correlation have been constructed to satisfy a local form of the Lieb-Oxford bound. In its original global expression, the bound represents…

其他凝聚态物理 · 物理学 2012-05-31 J. G. Vilhena , E. Rasanen , L. Lehtovaara , M. A. L. Marques

Ground and excited states of a confined negative Hydrogen ion has been pursued under Kohn-Sham density functional approach by invoking a physically motivated work-function-based exchange potential. The exchange-only results are of near…

原子物理 · 物理学 2022-05-23 Sangita Majumdar , Neetik Mukherjee , Amlan K. Roy

We investigate the quantum many-body instabilities for electrons on the honeycomb lattice at half-filling with extended interactions, motivated by a description of graphene and related materials. We employ a recently developed fermionic…

强关联电子 · 物理学 2017-03-08 D. Sánchez de la Peña , J. Lichtenstein , C. Honerkamp

In the present work, we introduce a Self-Consistent Density-Functional Embedding technique, which leaves the realm of standard energy-functional approaches in Density Functional Theory and targets directly the density-to-potential mapping…

计算物理 · 物理学 2019-07-17 Uliana Mordovina , Teresa E. Reinhard , Iris Theophilou , Heiko Appel , Angel Rubio

There is a number of explicit kinetic energy density functionals for non-interacting electron systems that are obtained in terms of the electron density and its derivatives. These semilocal functionals have been widely used in the…

其他凝聚态物理 · 物理学 2011-12-22 David Garcia-Aldea , J. E. Alvarellos

This is a follow-up of our recently proposed work on pseudopotential calculation (Ref. [21]) of atoms and molecules within DFT framework, using cartesian coordinate grid. Detailed results are presented to demonstrate the usefulness,…

化学物理 · 物理学 2015-05-18 Amlan K. Roy

We test local and semi-local density functionals for the electronic exchange for a variety of systems including atoms, molecules, and atomic chains. In particular, we focus on a recent universal extension of the Becke-Johnson exchange…

材料科学 · 物理学 2010-11-01 Micael J. T. Oliveira , Esa Räsänen , Stefano Pittalis , Miguel A. L. Marques

In this paper we formulate a nonlocal density functional theory of inhomogeneous water. We model a water molecule as a couple of oppositely charged sites. The negatively charged sites interact with each other through the Lennard-Jones…

软凝聚态物质 · 物理学 2020-08-26 Yu. A. Budkov , A. L. Kolesnikov

There are several approximations to the exchange-correlation functional in density-functional theory that accurately predict total energy-related properties of many-electron systems, such as binding energies, bond lengths, and crystal…

化学物理 · 物理学 2015-09-30 Eli Kraisler , Tobias Schmidt , Stephan Kümmel , Leeor Kronik

We present and test a new approximation for the exchange-correlation (xc) energy of Kohn-Sham density functional theory. It combines exact exchange with a compatible non-local correlation functional. The functional is by construction free…

化学物理 · 物理学 2014-05-23 Tobias Schmidt , Eli Kraisler , Adi Makmal , Leeor Kronik , Stephan Kümmel

The recently proposed density functional theory for steady-state transport (i-DFT) is extended to include temperature gradients between the leads. Within this framework, a general and exact expression is derived for the linear Seebeck…

强关联电子 · 物理学 2019-12-04 Nahual Sobrino , Roberto D'Agosta , Stefan Kurth

The impact of local and nonlocal density-density interactions on the electronic instabilities in the honeycomb lattice is widely investigated. Some early studies proposed the emergence of interaction-induced topologically nontrivial phases,…

强关联电子 · 物理学 2019-08-07 Song-Jin O , Yong-Hwan Kim , Ho-Yong Rim , Hak-Chol Pak , Song-Jin Im