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Simulations in the warm dense matter regime using finite temperature Kohn-Sham density functional theory (FT-KS-DFT), while frequently used, are computationally expensive due to the partial occupation of a very large number of high-energy…

材料科学 · 物理学 2018-04-04 Yael Cytter , Eran Rabani , Daniel Neuhauser , Roi Baer

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

Bridging the gap between first principles methods and empirical schemes, the density functional based tight-binding method (DFTB) has become a versatile tool in predictive atomistic simulations over the past years. One of the major…

材料科学 · 物理学 2015-04-02 Vitalij Lutsker , Balint Aradi , Thomas A. Niehaus

We introduce a novel energy functional for ground-state electronic-structure calculations. Its fundamental variables are the natural spin-orbitals of the implied singlet many-body wave function and their joint occupation probabilities. The…

化学物理 · 物理学 2015-06-23 Ralph Gebauer , Morrel H. Cohen , Roberto Car

An interesting fundamental problem in density-functional theory of electronic structure of matter is to construct the exact Kohn-Sham (KS) potential for a given density. The exact potential can then be used to assess the accuracy of…

原子与分子团簇 · 物理学 2019-05-22 Ashish Kumar , Rabeet Singh , Manoj K. Harbola

We show that deep neural networks can be integrated into, or fully replace, the Kohn-Sham density functional theory scheme for multi-electron systems in simple harmonic oscillator and random external potentials with no feature engineering.…

材料科学 · 物理学 2021-02-25 Kevin Ryczko , David Strubbe , Isaac Tamblyn

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…

We have proposed a method for correcting the Kohn-Sham eigen energies in the density functional theory (DFT) based on the Koopmans theorem using Wannier functions. The method provides a general approach applicable for molecules and solids…

计算物理 · 物理学 2015-03-02 Jie Ma , Lin-Wang Wang

In this work we describe a model for the exchange interaction of electrons, as it follows from the Pauli exclusion principle. Starting from Hartree-Fock theory and making use of the free electron-gas model we propose a simple scheme to…

材料科学 · 物理学 2025-06-11 G. Schiwietz , P. L. Grande

The exact static and time-dependent Kohn-Sham (KS) exchange-correlation (xc) potential is extremely challenging to approximate as it is a local multiplicative potential that depends on the electron density everywhere in the system. The KS…

强关联电子 · 物理学 2021-01-15 M. J. P. Hodgson , J. Wetherell

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

Exact density functionals for the exchange and correlation energies are approximated in practical calculations for the ground-state electronic structure of a many-electron system. An important exact constraint for the construction of…

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

化学物理 · 物理学 2020-10-13 Dimitri N. Laikov

Absolute binding energies of core electrons in molecules and bulk materials can be efficiently calculated by spin paired density-function theory employing a $\Delta$ Kohn-Sham ($\Delta$KS) scheme corrected by offsets that are highly…

材料科学 · 物理学 2016-08-03 Michael Walter , Michael Moseler , Lars Pastewka

We present a method to make highly accurate pseudopotentials for use with orbital-free density functional theory (OF-DFT) with given exchange-correlation and kinetic energy functionals, which avoids the compounding of errors of Kohn-Sham…

材料科学 · 物理学 2015-02-04 Fleur Legrain , Sergei Manzhos

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

We develop a stochastic formulation of the optimally-tuned range-separated hybrid density functional theory which enables significant reduction of the computational effort and scaling of the non-local exchange operator at the price of…

化学物理 · 物理学 2016-09-28 Daniel Neuhauser , Eran Rabani , Yael Cytter , Roi Baer

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

化学物理 · 物理学 2018-02-20 Hideaki Takahashi

We propose a new generalised Kohn-Sham or constrained hybrid method, where the exchange potential is the (equally weighted) average of the nonlocal Fock exchange term and the self-interaction-corrected exchange potential, as obtained from…

化学物理 · 物理学 2022-01-05 Thomas C. Pitts , Nektarios N. Lathiotakis , Nikitas I. Gidopoulos

Density functional calculations on atoms are often used for determining accurate initial guesses as well as generating various types of pseudopotential approximations and efficient atomic-orbital basis sets for polyatomic calculations. To…

计算物理 · 物理学 2023-10-30 Susi Lehtola