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Localized representation of the Kohn-Sham subspace plays an important role in quantum chemistry and materials science. The recently developed selected columns of the density matrix (SCDM) method [J. Chem. Theory Comput. 11, 1463, 2015] is a…

数值分析 · 数学 2017-08-22 Anil Damle , Lin Lin , Lexing Ying

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 a new linear scaling method for the energy minimization step of semiempirical and first-principles Hartree-Fock and Kohn-Sham calculations. It is based on the self-consistent calculation of the optimum localized orbitals of any…

材料科学 · 物理学 2009-11-10 Luis Seijo , Zoila Barandiaran

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

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

The implementation of the orbital minimization method (OMM) for solving the self-consistent Kohn-Sham (KS) problem for electronic structure calculations in a basis of non-orthogonal numerical atomic orbitals of finite-range is reported. We…

计算物理 · 物理学 2014-02-06 Fabiano Corsetti

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

Within the framework of linear-scaling Kohn-Sham density functional theory, a robust method for maintaining compact localized orbitals close to the ground state is coupled with nuclear dynamics. This allows to obviate the commonly employed…

计算物理 · 物理学 2018-08-01 Hayden Scheiber , Yifei Shi , Rustam Z. Khaliullin

We present a computationally efficient approach to solve the time-dependent Kohn-Sham equations in real-time using higher-order finite-element spatial discretization, applicable to both pseudopotential and all-electron calculations. To this…

计算物理 · 物理学 2019-10-02 Bikash Kanungo , Vikram Gavini

We extend the selected columns of the density matrix (SCDM) methodology [J. Chem. Theory Comput. 2015, 11, 1463--1469]---a non-iterative procedure for generating localized occupied orbitals for condensed-phase systems---to the construction…

化学物理 · 物理学 2021-08-17 Eric G. Fuemmeler , Anil Damle , Robert A. DiStasio

We present a subspace projection technique to conduct large-scale Kohn-Sham density functional theory calculations using spectral finite-element discretization. The proposed method treats both metallic and insulating materials in a single…

计算物理 · 物理学 2015-10-26 Phani Motamarri , Vikram Gavini

The exchange-correlation energy in Kohn-Sham density functional theory is expressed as a functional of the electronic density and the Kohn-Sham orbitals. An alternative to Kohn-Sham theory is to express the energy as a functional of the…

计算物理 · 物理学 2009-10-31 S. Goedecker , C. Umrigar

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

To obtain convergent numerical approximations without using any orthogonalization operations is of great importance in electronic structure calculations. In this paper, we propose and analyze a class of iteration schemes for the discretized…

数值分析 · 数学 2022-09-28 Xiaoying Dai , Liwei Zhang , Aihui Zhou

We present a real-space formulation for coarse-graining Kohn-Sham Density Functional Theory that significantly speeds up the analysis of material defects without appreciable loss of accuracy. The approximation scheme consists of two steps.…

计算物理 · 物理学 2015-06-11 Phanish Suryanarayana , Kaushik Bhattacharya , Michael Ortiz

To leverage the redundancy between the electronic structure computed at each step of first-principles molecular dynamics, we present a data-driven modeling framework for Kohn-Sham Density Functional Theory that bypasses the explicit…

We model the Hartree-exchange-correlation potential of Kohn-Sham density-functional theory adopting a novel strategy inspired by the strictly-correlated-electrons limit and relying on the exact decomposition of the potential based on the…

化学物理 · 物理学 2024-09-09 Sara Giarrusso , Federica Agostini

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 an embedding approach for semiconductors and insulators based on or- bital rotations in the space of occupied Kohn-Sham orbitals. We have implemented our approach in the popular VASP software package. We demonstrate its power for…

材料科学 · 物理学 2017-07-21 F. Libisch , M. Marsman , J. Burgdörfer , G. Kresse

The constrained electron density method of embedding a Kohn-Sham system in a substrate system (first described by P. Cortona, Phys. Rev. B {\bf 44}, 8454 (1991) and T.A. Wesolowski and A. Warshel, J. Phys. Chem {\bf 97}, 8050 (1993)) is…

材料科学 · 物理学 2015-05-14 J. R. Trail , D. M. Bird
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