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Title: Accurate and efficient calculation of excitation energies with the active-space particle-particle random phase approximation

Abstract

An efficient method for calculating excitation energies based on the particle-particle random phase approximation (ppRPA) is presented. Neglecting the contributions from the high-lying virtual states and the low-lying core states leads to the significantly smaller active-space ppRPA matrix while keeping the error to within 0.05 eV from the corresponding full ppRPA excitation energies. The resulting computational cost is significantly reduced and becomes less than the construction of the non-local Fock exchange potential matrix in the self-consistent-field (SCF) procedure. With only a modest number of active orbitals, the original ppRPA singlet-triplet (ST) gaps as well as the low-lying single and double excitation energies can be accurately reproduced at much reduced computational costs, up to 100 times faster than the iterative Davidson diagonalization of the original full ppRPA matrix. For high-lying Rydberg excitations where the Davidson algorithm fails, the computational savings of active-space ppRPA with respect to the direct diagonalization is even more dramatic. The virtues of the underlying full ppRPA combined with the significantly lower computational cost of the active-space approach will significantly expand the applicability of the ppRPA method to calculate excitation energies at a cost of O(K^{4}), with a prefactor much smaller than a single SCF Hartree-Fock (HF)/hybrid functionalmore » calculation, thus opening up new possibilities for the quantum mechanical study of excited state electronic structure of large systems.« less

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Duke Univ., Durham, NC (United States)
  2. Duke Univ., Durham, NC (United States); South China Normal Univ., Guangzhou (China). School of Chemistry and Environment
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States); Energy Frontier Research Centers (EFRC) (United States). Center for the Computational Design of Functional Layered Materials (CCDM)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1326796
Alternate Identifier(s):
OSTI ID: 1328815
Grant/Contract Number:  
SC0012575; CHE-1362927
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 145; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Zhang, Du, and Yang, Weitao. Accurate and efficient calculation of excitation energies with the active-space particle-particle random phase approximation. United States: N. p., 2016. Web. doi:10.1063/1.4964501.
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Zhang, Du, & Yang, Weitao. Accurate and efficient calculation of excitation energies with the active-space particle-particle random phase approximation. United States. https://doi.org/10.1063/1.4964501
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Zhang, Du, and Yang, Weitao. Thu . "Accurate and efficient calculation of excitation energies with the active-space particle-particle random phase approximation". United States. https://doi.org/10.1063/1.4964501. https://www.osti.gov/servlets/purl/1326796.
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@article{osti_1326796,
title = {Accurate and efficient calculation of excitation energies with the active-space particle-particle random phase approximation},
author = {Zhang, Du and Yang, Weitao},
abstractNote = {An efficient method for calculating excitation energies based on the particle-particle random phase approximation (ppRPA) is presented. Neglecting the contributions from the high-lying virtual states and the low-lying core states leads to the significantly smaller active-space ppRPA matrix while keeping the error to within 0.05 eV from the corresponding full ppRPA excitation energies. The resulting computational cost is significantly reduced and becomes less than the construction of the non-local Fock exchange potential matrix in the self-consistent-field (SCF) procedure. With only a modest number of active orbitals, the original ppRPA singlet-triplet (ST) gaps as well as the low-lying single and double excitation energies can be accurately reproduced at much reduced computational costs, up to 100 times faster than the iterative Davidson diagonalization of the original full ppRPA matrix. For high-lying Rydberg excitations where the Davidson algorithm fails, the computational savings of active-space ppRPA with respect to the direct diagonalization is even more dramatic. The virtues of the underlying full ppRPA combined with the significantly lower computational cost of the active-space approach will significantly expand the applicability of the ppRPA method to calculate excitation energies at a cost of O(K^{4}), with a prefactor much smaller than a single SCF Hartree-Fock (HF)/hybrid functional calculation, thus opening up new possibilities for the quantum mechanical study of excited state electronic structure of large systems.},
doi = {10.1063/1.4964501},
journal = {Journal of Chemical Physics},
number = ,
volume = 145,
place = {United States},
year = {Thu Oct 13 00:00:00 EDT 2016},
month = {Thu Oct 13 00:00:00 EDT 2016}
}
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