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In this article we present an algorithm to efficiently evaluate the exchange matrix in periodic systems when Gaussian basis set with pseudopotentials are used. The usual algorithm for evaluating exchange matrix scales cubically with the…

强关联电子 · 物理学 2022-11-11 Sandeep Sharma , Alec F. White , Gregory Beylkin

In this work, we developed and showcased the occ-RI-K algorithm to compute the exact exchange contribution in density functional calculations of solids near the basis set limit. Within the gaussian planewave (GPW) density fitting, our…

化学物理 · 物理学 2022-11-09 Joonho Lee , Adam Rettig , Xintian Feng , Evgeny Epifanovsky , Martin Head-Gordon

High-throughput DFT calculations are key to screening existing/novel materials, sampling potential energy surfaces, and generating quantum mechanical data for machine learning. By including a fraction of exact exchange (EXX), hybrid…

Accurate charge densities are essential for reliable electronic structure calculations because they significantly impact predictions of various chemical properties and in particular, according to the Hellmann-Feynman theorem, atomic forces.…

化学物理 · 物理学 2025-03-12 Moritz Gubler , Moritz R. Schäfer , Jörg Behler , Stefan Goedecker

Exact exchange contributions are known to crucially affect electronic states, which in turn govern covalent bond formation and breaking in chemical species. Empirically averaging the exact exchange admixture over compositional degrees of…

This work presents a new class of hybrid density functional theory (DFT) approximations, incorporating nonlocal exact exchange in predefined states such as core atomic orbitals (AOs). These projected hybrid density functionals are a…

化学物理 · 物理学 2023-05-16 Benjamin G. Janesko

The evaluation of exact (Hartree--Fock, HF) exchange operator is a crucial ingredient for the accurate description of electronic structure in periodic systems through ab initio and hybrid density functional approaches. An efficient…

化学物理 · 物理学 2020-10-28 Xiao Wang , Cannada A. Lewis , Edward F. Valeev

Noncollinear (NC) magnetism and spin-orbit coupling (SOC) are indispensable for predictive ab initio materials simulations with pronounced relativistic effects and magnetic frustration, yet they significantly increase the cost of…

By including a fraction of exact exchange (EXX), hybrid functionals reduce the self-interaction error in semi-local density functional theory (DFT), and thereby furnish a more accurate and reliable description of the electronic structure in…

计算物理 · 物理学 2021-05-10 Hsin-Yu Ko , Junteng Jia , Biswajit Santra , Xifan Wu , Roberto Car , Robert A. DiStasio

Exchange interactions are a manifestation of the quantum mechanical nature of the electrons and play a key role in predicting the properties of materials from first principles. In density functional theory (DFT), a widely used approximation…

材料科学 · 物理学 2020-03-27 Marco Bernardi

The accuracy of bulk property predictions in density functional theory (DFT) calculations depends on the choice of exchange-correlation functional. While the Perdew-Burke-Ernzerhof (PBE) functional systematically overestimates lattice…

A linear-scaling algorithm is presented for computing the Hartree-Fock (HF) exchange matrix using concentric atomic density fitting. The algorithm utilizes the stronger distance dependence of the three-center electron repulsion integrals…

化学物理 · 物理学 2014-10-21 David S. Hollman , Henry F. Schaefer , Edward F. Valeev

Given the widespread use of density functional theory (DFT), there is an increasing need for the ability to model large systems (beyond 1,000 atoms). We present a brief overview of the large-scale DFT code Conquest, which is capable of…

In the near future, material and drug design may be aided by quantum computer assisted simulations. These have the potential to target chemical systems intractable by the most powerful classical computers. However, the resources offered by…

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

We present an efficient and accurate implementation of hybrid exchange-correlation (XC) functionals in the SIESTA code, enabling large-scale simulations based on Hartree-Fock-type exact exchange combined with strictly localized numerical…

Kohn-Sham density functional theory (DFT) is nowadays widely used for electronic structure theory simulations, and the accuracy and efficiency of DFT rely on approximations of the exchange-correlation functional. By inclusion of the kinetic…

材料科学 · 物理学 2023-06-01 Renxi Liu , Daye Zheng , Xinyuan Liang , Xinguo Ren , Mohan Chen , Wenfei Li

Theoretical simulation to phase change materials such as Ge-Sb-Te has suffered from two methodology issues. On the one hand, there is a lack of efficient band gap correction method for density functional theory, which is suitable for these…

材料科学 · 物理学 2025-03-19 Shanzhong Xie , Kan-Hao Xue , Shaojie Yuan , Shengxin Yang , Heng Yu , Rongchuan Gu , Ming Xu , Xiangshui Miao

We present an efficient algorithm for computing the exact exchange contributions in the Hartree-Fock and hybrid density functional theory models on the basis of the fast multipole method (FMM). Our algorithm is based on the observation that…

化学物理 · 物理学 2018-01-30 Hai-Anh Le , Toru Shiozaki

We present a new method to accelerate real time-time dependent density functional theory (rt-TDDFT) calculations with hybrid exchange-correlation functionals. For large basis set, the computational bottleneck for large scale calculations is…

计算物理 · 物理学 2019-07-24 Weile Jia , Lin Lin