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Predictivity of the Kohn-Sham approach to dynamical problems, when regarded as an initial value problem in a time-dependent density functional framework, is analysed for a class of models for which the argument devised in the work of Maitra…

其他凝聚态物理 · 物理学 2015-06-16 Walter Tarantino

In a recent series of papers, Gebremariam, Bogner, and Duguet derived a microscopically based nuclear energy density functional by applying the Density Matrix Expansion (DME) to the Hartree-Fock energy obtained from chiral effective field…

Kohn-Sham (KS) formalism of Density Functional Theory is modified to include the systems with strong non-dynamic electron correlation. Unlike in extended KS and broken symmetry unrestricted KS formalisms, cases of both singlet-triplet and…

化学物理 · 物理学 2007-05-23 Artem Masunov

Ensemble density functional theory extends the usual Kohn-Sham machinery to quantum state ensembles involving ground- and excited states. Recent work by the authors [Phys. Rev. Lett. 119, 243001 (2017); 123, 016401 (2019)] has shown that…

强关联电子 · 物理学 2020-01-28 Tim Gould , Stefano Pittalis

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 generalize the treatment of the electronic spin degrees of freedom in density functional calculations to the case where the spin vector variables employed in the definition of the energy functional can vary in any direction in space. The…

其他凝聚态物理 · 物理学 2007-05-23 Juan E. Peralta , Gustavo E. Scuseria , Michael J. Frisch

A rigorous derivation of the density functional in the Hohenberg-Kohn theory is presented. With no assumption regarding the magnitude of the electric coupling constant $e^2$ (or correlation), this work provides a firm basis for…

其他凝聚态物理 · 物理学 2010-09-20 Yi-Kuo Yu

A two-parameter extension of the density-scaled double hybrid approach of Sharkas et al. [J. Chem. Phys. 134, 064113 (2011)] is presented. It is based on the explicit treatment of a fraction of multideterminantal exact exchange. The…

化学物理 · 物理学 2012-01-12 Emmanuel Fromager

A recently proposed linear-scaling scheme for density-functional pseudopotential calculations is described in detail. The method is based on a formulation of density functional theory in which the ground state energy is determined by…

mtrl-th · 物理学 2009-10-28 E. Hernandez , C. M. Goringe , M. J. Gillan

The derivative discontinuity of the exchange-correlation functional of density-functional theory is cast as the difference of two types of electron affinities. We show that standard Kohn-Sham calculations can be used to calculate both…

化学物理 · 物理学 2007-12-13 F. P. Rosselli , A. B. F. da Silva , K. Capelle

Kinetic energy functionals of the electronic density are used to model large systems in the context of density functional theory, without the need to obtain electronic wavefunctions. We discuss the problems associated with the application…

凝聚态物理 · 物理学 2009-11-07 Nicholas Choly , Efthimios Kaxiras

By introducing multipe-site correlation functions, we propose a hierarchical Green function approach, and apply it to study the characteristic properties of a 2D square lattice Hubbard model by solving the equation of motions of a…

强关联电子 · 物理学 2018-09-26 Yu-Liang Liu

The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The…

化学物理 · 物理学 2016-06-01 Aurora Pribram-Jones , Kieron Burke

We present a rigorous formulation of generalized Kohn-Sham density-functional theory. This provides a straightforward Kohn-Sham description of many-body systems based not only on particle-density but also on any other observable. We…

强关联电子 · 物理学 2008-02-03 M. Valiev , G. W. Fernando

The central quantity of density functional theory is the so-called exchange-correlation functional. This quantity encompasses all non-trivial many-body effects of the ground-state and has to be approximated in any practical application of…

材料科学 · 物理学 2012-06-29 Miguel A. L. Marques , Micael J. T. Oliveira , Tobias Burnus

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

材料科学 · 物理学 2009-02-05 H. A. Fertig , W. Kohn

An exchange energy functional is proposed and tested for obtaining a class of excited-state energies using density-functional formalism. The functional is the excited-state counterpart of the local-density approximation functional for the…

其他凝聚态物理 · 物理学 2007-05-23 Prasanjit Samal , Manoj K. Harbola

We present a kinetic-energy density-functional theory and the corresponding kinetic-energy Kohn-Sham (keKS) scheme on a lattice and show that by including more observables explicitly in a density-functional approach already simple…

化学物理 · 物理学 2018-07-23 Iris Theophilou , Florian Buchholz , F. G. Eich , Michael Ruggenthaler , Angel Rubio

The increasing interest in the Mueller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the Hartree-Fock functional, but with a modified exchange term in…

强关联电子 · 物理学 2009-09-29 Rupert L. Frank , Elliott H. Lieb , Robert Seiringer , Heinz Siedentop

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)]…

其他凝聚态物理 · 物理学 2011-07-27 Jason D. Goodpaster , Taylor A. Barnes , Thomas F. Miller