Sparse-Stochastic Fragmented Exchange for Large-Scale Hybrid TDDFT Calculations

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Main Authors: Sereda, Mykola, Allen, Tucker, Bradbury, Nadine C., Ibrahim, Khaled Z., Neuhauser, Daniel
Format: Preprint
Published: 2024
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author Sereda, Mykola
Allen, Tucker
Bradbury, Nadine C.
Ibrahim, Khaled Z.
Neuhauser, Daniel
author_facet Sereda, Mykola
Allen, Tucker
Bradbury, Nadine C.
Ibrahim, Khaled Z.
Neuhauser, Daniel
contents We extend our recently developed sparse-stochastic fragmented exchange formalism for ground-state hybrid DFT (ngH-DFT) to calculate absorption spectra within linear-response time-dependent Generalized Kohn-Sham DFT (LR-GKS-TDDFT), for systems consisting of thousands of valence electrons within a grid-based/plane-wave representation. A mixed deterministic/fragmented-stochastic compression of the exchange kernel, here using long-range explicit exchange functionals, provides an efficient method for accurate optical spectra. Both real-time propagation as well frequency-resolved Casida-equation-type approaches for spectra are presented, and the method is applied to large molecular dyes.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16217
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sparse-Stochastic Fragmented Exchange for Large-Scale Hybrid TDDFT Calculations
Sereda, Mykola
Allen, Tucker
Bradbury, Nadine C.
Ibrahim, Khaled Z.
Neuhauser, Daniel
Chemical Physics
We extend our recently developed sparse-stochastic fragmented exchange formalism for ground-state hybrid DFT (ngH-DFT) to calculate absorption spectra within linear-response time-dependent Generalized Kohn-Sham DFT (LR-GKS-TDDFT), for systems consisting of thousands of valence electrons within a grid-based/plane-wave representation. A mixed deterministic/fragmented-stochastic compression of the exchange kernel, here using long-range explicit exchange functionals, provides an efficient method for accurate optical spectra. Both real-time propagation as well frequency-resolved Casida-equation-type approaches for spectra are presented, and the method is applied to large molecular dyes.
title Sparse-Stochastic Fragmented Exchange for Large-Scale Hybrid TDDFT Calculations
topic Chemical Physics
url https://arxiv.org/abs/2402.16217