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Real-time time-dependent density functional theory (RT-TDDFT) is known to be hindered by the very small time step (attosecond or smaller) needed in the numerical simulation due to the fast oscillation of electron wavefunctions, which…

计算物理 · 物理学 2018-10-25 Weile Jia , Dong An , Lin-Wang Wang , Lin Lin

Ultra-fast electronic phenomena originating from finite temperature, such as nonlinear optical excitation, can be simulated with high fidelity via real-time time dependent density functional theory (rt-TDDFT) calculations with hybrid…

材料科学 · 物理学 2025-01-07 Rongrong Liu , Zhuoqiang Guo , Qiuchen Sha , Tong Zhao , Haibo Li , Wei Hu , Lijun Liu , Guangming Tan , Weile Jia

Real-time time-dependent density functional theory (rt-TDDFT) with hybrid exchange-correlation functional has wide-ranging applications in chemistry and material science simulations. However, it can be thousands of times more expensive than…

计算物理 · 物理学 2019-05-07 Weile Jia , Lin-Wang Wang , Lin Lin

The Fock exchange operator plays a central role in modern quantum chemistry. The large computational cost associated with the Fock exchange operator hinders Hartree-Fock calculations and Kohn-Sham density functional theory calculations with…

计算物理 · 物理学 2020-05-22 Lin Lin

A new, very fast, implementation of the exact (Fock) exchange operator for electronic structure calculations within the plane-wave pseudopotential method is described in detail for both molecular and periodic systems, and carefully…

材料科学 · 物理学 2018-12-12 Ivan Carnimeo , Stefano Baroni , Paolo Giannozzi

The evaluation of Fock exchange is often the computationally most expensive part of hybrid functional density functional theory calculations in a systematically improvable, complete basis. In this work, we employ a Tucker tensor based…

材料科学 · 物理学 2024-01-10 Vishal Subramanian , Sambit Das , Vikram Gavini

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 an efficient and systematically convergent approach to all-electron real-time time-dependent density functional theory (TDDFT) calculations using a mixed basis, termed as enriched finite element (EFE) basis. The EFE basis…

化学物理 · 物理学 2022-10-27 Bikash Kanungo , Nelson D. Rufus , Vikram Gavini

An atomic-orbital basis set framework is presented for carrying out velocity- gauge real-time time-dependent density functional theory (TDDFT) simulations in periodic systems employing range-separated hybrid functionals. Linear optical…

材料科学 · 物理学 2018-10-02 C. D. Pemmaraju

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

We present the extension of Frozen Density Embedding (FDE) theory to real-time Time Dependent Density Functional Theory (rt-TDDFT). FDE a is DFT-in-DFT embedding method that allows to partition a larger Kohn-Sham system into a set of…

化学物理 · 物理学 2015-06-23 Alisa Krishtal , Davide Ceresoli , Michele Pavanello

A stochastic approach to time-dependent density functional theory (TDDFT) is developed for computing the absorption cross section and the random phase approximation (RPA) correlation energy. The core idea of the approach involves…

化学物理 · 物理学 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani

Direct simulation of the von Neumann dynamics for a general (pure or mixed) quantum state can often be expensive. One prominent example is the real-time time-dependent density functional theory (rt-TDDFT), a widely used framework for the…

数值分析 · 数学 2022-10-19 Dong An , Di Fang , Lin Lin

Ultrafast real-time dynamics are critical for understanding a broad range of physical processes. Real-time time-dependent density functional theory (rt-TDDFT) has emerged as a powerful computational tool for simulating these dynamics,…

材料科学 · 物理学 2025-01-22 Haotian Zhao , Lixin He

The Hartree-Fock exchange potential is fundamental for capturing quantum mechanical exchange effects but faces critical challenges in large-scale applications due to its nonlocal and computationally intensive nature. This study introduces a…

化学物理 · 物理学 2025-09-03 Fei Xu

Real-time time-dependent density functional theory (RT-TDDFT) is a powerful approach for investigating various ultrafast phenomena in materials. However, most existing RT-TDDFT studies rely on adiabatic local or semi-local approximations,…

材料科学 · 物理学 2025-12-23 Yuyang Ji , Haotian Zhao , Peize Lin , Xinguo Ren , Lixin He

Ab initio molecular dynamics (AIMD) with hybrid density functionals and plane wave basis is computationally expensive due to the high computational cost of exact exchange energy evaluation. Recently, we proposed a strategy to combine…

化学物理 · 物理学 2021-01-11 Sagarmoy Mandal , Vaishali Thakkur , Nisanth N. Nair

Despite the variety of available computational approaches, state-of-the-art methods for calculating excitation energies such as time-dependent density functional theory (TDDFT), are computationally demanding and thus limited to moderate…

化学物理 · 物理学 2022-03-10 Martina Stella , Kritam Thapa , Luigi Genovese , Laura E. Ratcliff

We present a unified heterogeneous computing framework for real-time time-dependent density functional theory (RT-TDDFT) based on numerical atomic orbitals (NAOs), implemented in the ABACUS package. We introduce three co-designed…

材料科学 · 物理学 2026-03-24 Taoni Bao , Yuanbo Li , Zichao Deng , Haotian Zhao , Denghui Lu , Yike Huang , Chao Lian , Lixin He , Mohan Chen

The real-time-propagation formulation of time-dependent density-functional theory (RT-TDDFT) is an efficient method for modeling the optical response of molecules and nanoparticles. Compared to the widely adopted linear-response TDDFT…

材料科学 · 物理学 2019-01-15 Tuomas P. Rossi , Mikael Kuisma , Martti J. Puska , Risto M. Nieminen , Paul Erhart
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