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Million-atom quantum simulations are in principle feasible with Orbital-Free Density Functional Theory (OF-DFT) because the algorithms only require simple functional minimizations with respect to the electron density function. In this…

材料科学 · 物理学 2019-07-17 Wenhui Mi , Michele Pavanello

Using principles of asymptotic analysis, we derive the exact leading corrections to the Thomas-Fermi kinetic energy approximation for Kohn-Sham electrons for slabs. This asymptotic expansion approximation includes crucial quantum…

材料科学 · 物理学 2024-02-21 Pavel Okun , Antonio C. Cancio , Kieron Burke

Orbital-free Density Functional Theory (OF-DFT) has been used when studying atoms, molecules and solids. In nuclear physics, there has been basically no application of OF-DFT so far, as the Density Functional Theory (DFT) has been widely…

核理论 · 物理学 2023-08-03 Gianluca Colo' , Kouichi Hagino

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

核理论 · 物理学 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

Due to its efficiency and reasonable accuracy, density functional theory is one of the most widely used electronic structure theories in condensed matter physics, materials physics, and quantum chemistry. The accuracy and efficiency of a…

化学物理 · 物理学 2019-02-06 James W Furness , Jianwei Sun

In first-principles calculations, hybrid functional is often used to improve accuracy from local exchange correlation functionals. A drawback is that evaluating the hybrid functional needs significantly more computing effort. When…

材料科学 · 物理学 2018-02-05 Maoyuan Wang , Gui-Bin Liu , Hong Guo , Yugui Yao

A linear algebraic method named the shifted conjugate-orthogonal-conjugate-gradient method is introduced for large-scale electronic structure calculation. The method gives an iterative solver algorithm of the Green's function and the…

材料科学 · 物理学 2007-05-23 R. Takayama , T. Hoshi , T. Sogabe , S. -L. Zhang , T. Fujiwara

The general procedure underlying Hartree-Fock and Kohn-Sham density functional theory calculations consists in optimizing orbitals for a self-consistent solution of the Roothaan-Hall equations in an iterative process. It is often ignored…

化学物理 · 物理学 2017-03-16 Alain C. Vaucher , Markus Reiher

We present recent developments of the NTChem program for performing large scale hybrid Density Functional Theory calculations on the supercomputer Fugaku. We combine these developments with our recently proposed Complexity Reduction…

Starting from the observation that one of the most successful methods for solving the Kohn-Sham equations for periodic systems -- the plane-wave method -- is a spectral method based on eigenfunction expansion, we formulate a spectral method…

计算物理 · 物理学 2016-03-08 Amartya S. Banerjee , Ryan S. Elliott , Richard D. James

We present a general approach to converge excited state solutions to any quantum chemistry orbital optimization process, without the risk of variational collapse. The resulting Square Gradient Minimization (SGM) approach only requires…

化学物理 · 物理学 2020-03-11 Diptarka Hait , Martin Head-Gordon

The nuclear energy density functional method at finite temperature is a useful tool for studies of nuclear structure at high excitation, and also for researches of nuclear matter involved in explosive stellar phenomena and neutron stars.…

核理论 · 物理学 2023-03-02 Takashi Nakatsukasa

Orbital-free density functional theory (OFDFT) offers a challenging way of electronic-structure calculations scaled as $\mathcal{O}(N)$ computation for system size $N$. We here develop a scheme of the OFDFT calculations based on the…

计算物理 · 物理学 2021-09-06 Fumihiro Imoto , Masatoshi Imada , Atsushi Oshiyama

Orbital-Free Density Functional Theory (OFDFT) has re-emerged as a viable alternative to Kohn-Sham DFT, driven by recent advances in kinetic energy density functionals (KEDFs). Nonlocal (NL) KEDFs have significantly extended OFDFT's…

材料科学 · 物理学 2025-12-24 Abhishek Bhattacharjee , Hemanadhan Myneni , Manoj K. Harbola , Prasanjit Samal

Effective field theory (EFT) methods are applied to density functional theory (DFT) as part of a program to systematically go beyond mean-field approaches to medium and heavy nuclei. A system of fermions with short-range, natural…

核理论 · 物理学 2007-05-23 S. J. Puglia , A. Bhattacharyya , R. J. Furnstahl

We improve on the Thomas-Fermi approximation for the single-particle density of fermions by introducing inhomogeneity corrections. Rather than invoking a gradient expansion, we relate the density to the unitary evolution operator for the…

量子气体 · 物理学 2019-03-04 Thanh Tri Chau , Jun Hao Hue , Martin-Isbjörn Trappe , Berthold-Georg Englert

We propose a hybrid approach which employs the dynamical mean-field theory (DMFT) self-energy for the correlated, typically rather localized orbitals and a conventional density functional theory (DFT) exchange-correlation potential for the…

强关联电子 · 物理学 2021-06-16 Sumanta Bhandary , Karsten Held

The tensor optimized Fermi sphere (TOFS) method is applied first for the study of the property of nuclear matter using the Argonne V4' $NN$ potential. In the TOFS method, the correlated nuclear matter wave function is taken to be a…

核理论 · 物理学 2018-08-27 Taiichi Yamada , Takayuki Myo , Hisashi Horiuchi , Kiyomi Ikeda , Hiroshi Toki

This chapter presents the development of a density functional theory (DFT)-based method for accurate, reliable treatment of various resonances in atoms. Many of these are known to be notorious for their strong correlation, proximity to more…

化学物理 · 物理学 2019-04-19 Amlan K. Roy

We present the first calculations of the inelastic part of the dynamical structure factor (DSF) for warm dense matter (WDM) using Time-Dependent Orbital-Free Density Functional Theory (TD-OF-DFT) and Mixed-Stochastic-Deterministic (mixed)…

等离子体物理 · 物理学 2024-11-05 Alexander J. White