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相关论文: Applying Space-Group Symmetry to Speed up Hybrid-F…

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We introduce a practical hybrid approach that combines orbital-free density functional theory (DFT) with Kohn-Sham DFT for speeding up first-principles molecular dynamics simulations. Equilibrated ionic configurations are generated using…

The recently developed selected columns of the density matrix (SCDM) method [J. Chem. Theory Comput. 11, 1463, 2015] is a simple, robust, efficient and highly parallelizable method for constructing localized orbitals from a set of…

计算物理 · 物理学 2016-10-10 Anil Damle , Lin Lin , Lexing Ying

We present an efficient, linear-scaling implementation for building the (screened) Hartree-Fock exchange (HFX) matrix for periodic systems within the framework of numerical atomic orbital (NAO) basis functions. Our implementation is based…

计算物理 · 物理学 2020-09-29 Peize Lin , Xinguo Ren , Lixin He

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 develop an algorithm for i) computing generalized regular $k$-point grids, ii) reducing the grids to their symmetrically distinct points, and iii) mapping the reduced grid points into the Brillouin zone. The algorithm exploits the…

计算物理 · 物理学 2019-07-01 Gus L. W. Hart , Jeremy J. Jorgensen , Wiley S. Morgan , Rodney W. Forcade

We present an efficient real space formalism for hybrid exchange-correlation functionals in generalized Kohn-Sham density functional theory (DFT). In particular, we develop an efficient representation for any function of the real space…

计算物理 · 物理学 2024-06-26 Xin Jing , Phanish Suryanarayana

Hybrid density functional theory (DFT) remains intractable for large periodic systems due to the demanding computational cost of exact exchange. We apply the tensor hypercontraction (THC) (or interpolative separable density fitting)…

计算物理 · 物理学 2023-10-13 Adam Rettig , Joonho Lee , Martin Head-Gordon

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…

We use projector operators to correct the Kohn-Sham Hamiltonian of density functional theory (KS-DFT) so that the resulting mean-field scheme yields, in finite systems, virtual orbitals and energy gaps in better agreement with those…

其他凝聚态物理 · 物理学 2008-06-26 Hector Mera

Density Functional Theory (DFT) is a pivotal method within quantum chemistry and materials science, with its core involving the construction and solution of the Kohn-Sham Hamiltonian. Despite its importance, the application of DFT is…

We present an algorithm for the determination of the local symmetry group for arbitrary k-points in 3D Brillouin zones. First, we test our implementation against tabulated results available for standard high-symmetry points (given by…

材料科学 · 物理学 2023-10-23 Emanuele Maggio , Andriy Smolyanyuk , Jan M. Tomczak

Kohn-Sham spin-density functional theory provides an efficient and accurate model to study electron-electron interaction effects in quantum dots, but its application to large systems is a challenge. An efficient algorithm for the…

介观与纳米尺度物理 · 物理学 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

We report an efficient algorithm for calculating momentum-space integrals in solid state systems on modern graphics processing units (GPUs). Our algorithm is based on the tetrahedron method, which we demonstrate to be ideally suited for…

计算物理 · 物理学 2018-06-19 Daniel Guterding , Harald O. Jeschke

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

We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms. We train and test a machine-learned…

强关联电子 · 物理学 2016-12-28 Li Li , Thomas E. Baker , Steven R. White , Kieron Burke

Calculations of properties of materials require performing numerical integrals over the Brillouin zone (BZ). Integration points in density functional theory codes are uniformly spread over the BZ (despite integration error being…

材料科学 · 物理学 2022-01-25 Jeremy J. Jorgensen , John E. Christensen , Tyler J. Jarvis , Gus L. W. Hart

Given a set of Kohn-Sham orbitals from an insulating system, we present a simple, robust, efficient and highly parallelizable method to construct a set of, optionally orthogonal, localized basis functions for the associated subspace. Our…

计算物理 · 物理学 2014-11-05 Anil Damle , Lin Lin , Lexing Ying

A many-body Hamiltonian can be block-diagonalized by expressing it in terms of symmetry-adapted basis states. Finding the group orbit representatives of these basis states and their corresponding symmetries is currently a…

量子物理 · 物理学 2019-04-17 Albert T. Schmitz , Sonika Johri

We developed a general framework for hybrid quantum-classical computing of molecular and periodic embedding approaches based on an orbital space separation of the fragment and environment degrees of freedom. We demonstrate its potential by…

K-means clustering, as a classic unsupervised machine learning algorithm, is the key step to select the interpolation sampling points in interpolative separable density fitting (ISDF) decomposition. Real-valued K-means clustering for…

计算物理 · 物理学 2024-01-09 Shizhe Jiao , Jielan Li , Xinming Qin , Lingyun Wan , Wei Hu , Jinlong Yang
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