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相关论文: Adaptive local basis set for Kohn-Sham density fun…

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We develop a technique for generating a set of optimized local basis functions to solve models in the Kohn-Sham density functional theory for both insulating and metallic systems. The optimized local basis functions are obtained by solving…

计算物理 · 物理学 2015-05-30 Lin Lin , Jianfeng Lu , Lexing Ying , E. Weinan

Kohn-Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn-Sham Hamiltonian generally results in a large number of basis functions…

数值分析 · 数学 2015-05-27 Lin Lin , Jianfeng Lu , Lexing Ying , E. Weinan

Kohn-Sham density functional theory is one of the most widely used electronic structure theories. The recently developed adaptive local basis functions form an accurate and systematically improvable basis set for solving Kohn-Sham density…

数值分析 · 数学 2021-08-03 Jason Kaye , Lin Lin , Chao Yang

We derive the expressions for configurational forces in Kohn-Sham density functional theory, which correspond to the generalized variational force computed as the derivative of the Kohn-Sham energy functional with respect to the position of…

计算物理 · 物理学 2018-04-25 Phani Motamarri , Vikram Gavini

The Hellmann-Feynman (HF) theorem provides a way to compute forces directly from the electron density, enabling efficient force calculations for large systems through machine learning (ML) models for the electron density. The main issue…

We describe how to apply the recently developed pole expansion and selected inversion (PEXSI) technique to Kohn-Sham density function theory (DFT) electronic structure calculations that are based on atomic orbital discretization. We give…

计算物理 · 物理学 2015-06-04 Lin Lin , Mohan Chen , Chao Yang , Lixin He

Atomic forces formulation based on the Dirac-Kohn-Sham equation and flexible (APW+lo/LAPW)+LO basis set is presented. The formulation was implemented in the code FlapwMBPT and allows a user to easily switch between different basis functions…

材料科学 · 物理学 2021-05-12 Andrey L. Kutepov

Kohn-Sham density functional theory calculations using conventional diagonalization based methods become increasingly expensive as temperature increases due to the need to compute increasing numbers of partially occupied states. We present…

化学物理 · 物理学 2022-03-23 Qimen Xu , Xin Jing , Boqin Zhang , John E. Pask , Phanish Suryanarayana

We present a method to discretize the Kohn-Sham Hamiltonian matrix in the pseudopotential framework by a small set of basis functions automatically contracted from a uniform basis set such as planewaves. Each basis function is localized…

计算物理 · 物理学 2015-06-03 Lin Lin , Lexing Ying

We extend the capabilities of correlation energy functionals based on the adiabatic-connection fluctuation-dissipation theorem by implementing the analytical atomic forces within the random phase approximation (RPA), in the context of plane…

材料科学 · 物理学 2026-03-19 Damian Contant , Maria Hellgren

We present an efficient computational approach to perform real-space electronic structure calculations using an adaptive higher-order finite-element discretization of Kohn-Sham density-functional theory (DFT). To this end, we develop an…

计算物理 · 物理学 2015-06-05 Phani Motamarri , Michael R Nowak , Kenneth Leiter , Jaroslaw Knap , Vikram Gavini

We construct and study several semilocal density functional approximations for the positive Kohn-Sham kinetic energy density. These functionals fit the kinetic energy density of the Airy gas and they can be accurate for integrated kinetic…

材料科学 · 物理学 2015-05-13 Lucian A. Constantin , Adrienn Ruzsinszky

We reexamine the recently introduced basis-set correction theory based on density-functional theory consisting in correcting the basis-set incompleteness error of wave-function methods using a density functional. We use a one-dimensional…

化学物理 · 物理学 2022-02-16 Diata Traore , Emmanuel Giner , Julien Toulouse

In recent years, many types of machine learning potentials (MLPs) have been introduced, which are able to represent high-dimensional potential-energy surfaces (PES) with close to first-principles accuracy. Most current MLPs rely on atomic…

材料科学 · 物理学 2022-04-06 Marius Herbold , Jörg Behler

The Kohn-Sham equation is a powerful, widely used approach for computation of ground state electronic energies and densities in chemistry, materials science, biology, and nanosciences. In this paper, we study the adaptive finite element…

数值分析 · 数学 2013-11-22 Huajie Chen , Xiaoying Dai , Xingao Gong , Lianhua He , Aihui Zhou

Linear scaling methods for density-functional theory (DFT) simulations are formulated in terms of localised orbitals in real-space, rather than the delocalised eigenstates of conventional approaches. In local-orbital methods, relative to…

材料科学 · 物理学 2011-05-30 N. D. M. Hine , M. Robinson , P. D. Haynes , C. -K. Skylaris , M. C. Payne , A. A. Mostofi

A non-relativisitic nuclear density functional theory is constructed, not as usual, from an effective density dependent nucleon-nucleon force but directly introducing in the functional results from microscopic nuclear and neutron matter…

核理论 · 物理学 2008-11-26 M. Baldo , P. Schuck , X. Vinas

We present a method for total energy minimizations and molecular dynamics simulations based either on tight-binding or on Kohn-Sham hamiltonians. The method leads to an algorithm whose computational cost scales linearly with the system…

凝聚态物理 · 物理学 2009-10-22 Francesco Mauri , Giulia Galli

We present a new theory for partitioning simulations of periodic and solid-state systems into physically sound atomic contributions at the level of Kohn-Sham density functional theory. Our theory is based on spatially localized linear…

化学物理 · 物理学 2024-10-01 Luna Zamok , Janus J. Eriksen

We present a novel route to constructing cost-efficient semi-empirical approximations for the non-additive kinetic energy in subsystem density functional theory. The developed methodology is based on the use of Slater determinants composed…

化学物理 · 物理学 2025-01-13 Larissa Sophie Eitelhuber , Denis G. Artiukhin
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