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[PDF] Top 20 Coarse-Graining Kohn-Sham Density Functional Theory

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Coarse-Graining Kohn-Sham Density Functional Theory

Coarse-Graining Kohn-Sham Density Functional Theory

... increasing system size and number of processors. We obtain ostensibly ideal convergence rate for the finite-element method, linear or O(N )-scaling with problem size and good parallel scalability. A shortcoming of ... See full document

151

A Variational Framework for Spectral Discretization of the Density Matrix in Kohn-Sham Density Functional Theory

A Variational Framework for Spectral Discretization of the Density Matrix in Kohn-Sham Density Functional Theory

... Figure 5.2: Linear chain of M atoms with N electrons [18]. Insulator: α = 100, β = 0.3. 5.1 Discussion The number of bins required for a given accuracy is independent of the spectrum width ∆λ, and therefore, is ... See full document

146

Calculating excited state properties using Kohn Sham density functional theory

Calculating excited state properties using Kohn Sham density functional theory

... vibrational frequencies compared to the spin mixed state. Spin-purification has the greatest effect on the excitation energies, which are much closer to experiment but remain consistently too low and less accurate than ... See full document

23

Hybrid ab initio Kohn-Sham density functional theory/frozen-density orbital-free density functional theory simulation method suitable for biological systems

Hybrid ab initio Kohn-Sham density functional theory/frozen-density orbital-free density functional theory simulation method suitable for biological systems

... two density functional ...initio Kohn-Sham DFT, while a frozen-density orbital- free 共FDOF兲 DFT method, which scales linearly with the number of atoms, is used for the rest of the ... See full document

9

Local reduced-density-matrix-functional theory: Incorporating static correlation effects in Kohn-Sham equations

Local reduced-density-matrix-functional theory: Incorporating static correlation effects in Kohn-Sham equations

... reduced-density-matrix-functional theory into the realm of density functional theory (DFT) that preserves the accurate density functional description at ... See full document

8

Kohn Sham density functional theory calculations of non resonant and resonant X ray emission spectroscopy

Kohn Sham density functional theory calculations of non resonant and resonant X ray emission spectroscopy

... perturbation theory to simulate the ...simple Kohn-Sham DFT treatment is that it adds negligible computational cost, and extensive averaging over molecular conformation from an ab initio molecular ... See full document

8

Accelerating Kohn–Sham response theory using density fitting and the auxiliary density matrix method

Accelerating Kohn–Sham response theory using density fitting and the auxiliary density matrix method

... response theory of Larsen et ...of Kohn-Sham density-functional theory with approximate treatment of the Coulomb and Exchange contributions to the response equations via the ... See full document

38

Density-inversion method for the Kohn-Sham potential : role of the screening density.

Density-inversion method for the Kohn-Sham potential : role of the screening density.

... given density and find the Kohn-Sham (KS) potential in Density Functional Theory (DFT) which shares that ...screening density, which is naturally constrained by the ... See full document

35

Theory of Model Kohn-Sham Potentials and its Applications

Theory of Model Kohn-Sham Potentials and its Applications

... of KohnSham density functional theory is to develop increasingly accurate approximations to the exchange-correlation functional or to the correspond- ing ...a functional ... See full document

157

The Pursuit of Fallacy in Density Functional Theory: The Quest for Exchange and Correlation, the Rigorous Treatment of Exchange in the Kohn Sham Formalism and the Continuing Search for Correlation

The Pursuit of Fallacy in Density Functional Theory: The Quest for Exchange and Correlation, the Rigorous Treatment of Exchange in the Kohn Sham Formalism and the Continuing Search for Correlation

... of density functional theory as an alternative to the Schrödinger equation, at least with regard to the ground states of interacting many-particle ...unique functional of the density ... See full document

27

Correlation potentials and functionals in Hartree-Fock-Kohn-Sham theory

Correlation potentials and functionals in Hartree-Fock-Kohn-Sham theory

... of functional expansions to these poten- tials, although we experienced great difficulties due to the non-local ...to density functional theory is not desirable, despite the small magnitude of ... See full document

9

The long-wavelength behaviour of the exchange-correlation kernel in the Kohn-Sham theory of periodic systems

The long-wavelength behaviour of the exchange-correlation kernel in the Kohn-Sham theory of periodic systems

... the Kohn-Sham formulation of density-functional theory (DFT), in the case of macro- scopic ...electron density, or, equivalently, on the macro- scopic ... See full document

10

Kohn–Sham energy decomposition for molecules in a magnetic field

Kohn–Sham energy decomposition for molecules in a magnetic field

... its KohnSham components within the framework of magnetic-field density-functional theory (BDFT), an alternative to current- dependent density-functional theory ... See full document

17

Scalable electronic structure methods to solve the Kohn-Sham equation

Scalable electronic structure methods to solve the Kohn-Sham equation

... The Kohn-Sham equations, based on density functional theory, transform a many-body problem impossible to solve for anything but the smallest molecules, into a practical problem which ... See full document

115

Multicomponent density functional theory with density fitting

Multicomponent density functional theory with density fitting

... (Local Density Approximation), GGA (Generalized Gradient Approximation), Meta-GGA or hybrids ...energy functional is taken to be exact exchange 32 ...The Kohn-Sham matrix elements are obtained ... See full document

29

Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem

Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem

... context density-functional theory (DFT) 1 is a powerful alternative method, and uses as its main variable, the particle density, a function of only 3 ...particular, Kohn-Sham DFT ... See full document

12

Density-functional theory of polar insulators

Density-functional theory of polar insulators

... “electric field” which is absent from the usual local approximations, and the Kohn-Sham electronic system becomes metallic. With periodic boundary conditions, such a field is forbidden, and the polarization ... See full document

14

Deep learning and density-functional theory

Deep learning and density-functional theory

... (KS) density functional theory (DFT)[3] is the standard theoretical tool to study nanoscale sys- ...electron density in conjunction with machine ... See full document

14

Exchange representations in Kohn-Sham theory

Exchange representations in Kohn-Sham theory

... Teale, Andrew M. (2006) Exchange representations in Kohn-Sham theory, Durham theses, Durham University. Available at Durham E-Theses Online: http://etheses.dur.ac.uk/2653/ Use policy The full-text ... See full document

181

Accelerating Kohn–Sham response theory using density fitting and the auxiliary density matrix method

Accelerating Kohn–Sham response theory using density fitting and the auxiliary density matrix method

... Here we included a more detalied account on the results presented in the paper. We present statistics, mean errors, standard deviations and maximum absolute errors, compared to aug-pcseg- 4 reference calculations for ... See full document

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