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Ab initio techniques have revolutionised the way in which theory can help practitioners to explore critical mechanisms that govern reactions or properties, and to develop new strategies for materials discovery and design. Yet, their…

材料科学 · 物理学 2026-04-03 Mira Todorova , Stefan Wippermann , Jörg Neugebauer

An analysis shows that the ground state of the inhomogeneous system of interacting electrons in the static external field, which satisfies the thermodynamic limit, can be consistently described only using the Green function theory based on…

统计力学 · 物理学 2014-09-02 V. B. Bobrov

The equilibrium state of a system consisting of a large number of strongly interacting electrons can be characterized by its density operator. This gives a direct access to the ground-state energy or, at finite temperatures, to the free…

强关联电子 · 物理学 2012-02-23 Michael Potthoff

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 reformulate the strong-interaction limit of electronic density functional theory in terms of a classical problem with a degenerate minimum. This allows us to clarify many aspects of this limit, and to write a general solution, which is…

材料科学 · 物理学 2007-05-23 Michael Seidl , Paola Gori-Giorgi , Andreas Savin

An accurate expression of the kinetic energy density of an electronic distribution in terms of the single particle reduced density matrix for atomic and molecular systems is a long-standing problem in electron structure theory. Existing…

化学物理 · 物理学 2024-10-30 Priya , Mainak Sadhukhan

We present a novel joint time-dependent density-functional theory for the description of solute-solvent systems in time-dependent external potentials. Starting with the exact quantum-mechanical action functional for both electrons and…

材料科学 · 物理学 2012-02-16 Johannes Lischner , T. A. Arias

We propose a simple density functional expression for the upper bound of the kinetic energy for electronic systems. Such a functional is valid in the limit of slowly varying density, its validity outside this regime is discussed by making a…

量子物理 · 物理学 2009-11-11 L. Delle Site

The expression of the free energy density of a classical crystalline system as a gradient expansion in terms of a set of order parameters is developed using classical density functional theory. The goal here is to extend and complete an…

统计力学 · 物理学 2009-11-11 James F. Lutsko

This paper gives an introduction to the Keldysh formalism, with emphasis on its usefulness in time-dependent density functional theory. In the first part we introduce the Keldysh contour and the one-particle Green function defined on this…

介观与纳米尺度物理 · 物理学 2007-05-23 Robert van Leeuwen , Nils Erik Dahlen , Gianluca Stefanucci , Carl-Olof Almbladh , Ulf von Barth

We derive a generalized gradient approximation to the exchange energy to be used in density functional theory calculations of two-dimensional systems. This class of approximations has a long and successful history, but it has not yet been…

强关联电子 · 物理学 2009-01-07 S. Pittalis , E. Rasanen , J. G. Vilhena , M. A. L. Marques

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

材料科学 · 物理学 2009-02-07 Vinod Krishna

The theoretical description of materials' properties driven out of equilibrium has important consequences in various fields such as semiconductor spintronics, nonlinear optics, continuous and discrete quantum information science and…

材料科学 · 物理学 2025-09-18 Jacopo Simoni , Gabriele Riva , Yuan Ping

Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, however, there is still a need for better approximations to the…

强关联电子 · 物理学 2009-09-22 S. Pittalis , E. Rasanen , E. K. U. Gross

A fermion ground state energy functional is set up in terms of particle density, relative pair density, and kinetic energy tensor density. It satisfies a minimum principle if constrained by a complete set of compatibility conditions. A…

化学物理 · 物理学 2009-10-17 Bin Liu , Jerome K. Percus

A first-principles approach to describe electron dynamics in open quantum systems driven far from equilibrium via external time-dependent stimuli is introduced. Within this approach, the driven Liouville von Neumann methodology is used to…

介观与纳米尺度物理 · 物理学 2023-05-10 Annabelle Oz , Abraham Nitzan , Oded Hod , Juan E. Peralta

Density functional theory (DFT) has greatly expanded our ability to affordably compute and understand electronic ground states, by replacing intractable {\em ab initio} calculations by models based on paradigmatic physics from high- and…

化学物理 · 物理学 2023-03-29 Tim Gould , Derk P. Kooi , Paola Gori-Giorgi , Stefano Pittalis

In principle, density functional theory yields the correct ground-state densities and energies of electronic systems under the action of a static external potential. However, traditional approximations fail to include Van der Waals energies…

凝聚态物理 · 物理学 2016-08-31 Walter Kohn , Yigal Meir , Dmitrii E. Makarov

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 derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser