Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations

Masato Kobayashi, Hiromi Nakai

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    101 Citations (Scopus)

    Abstract

    We have reported the divide-and-conquer (DC)-based linear-scaling correlation treatment of coupled-cluster method with single and double excitations (CCSD) [Kobayashi and Nakai, J. Chem. Phys. 129, 044103 (2009)]. In the DC-CCSD method, the CCSD equations derived from subsystem orbitals are solved for each subsystem in order to obtain the total correlation energy by summing up subsystem contributions using energy density analysis. In this study, we extend the DC-CCSD method for treating noniterative perturbative triple excitations using CCSD T1 and T2 amplitudes, namely, CCSD(T). In the DC-CCSD(T) method, the so-called (T) corrections are also computed for each subsystem. Numerical assessments indicate that DC-CCSD(T) reproduces the CCSD(T) results with high accuracy and significantly less computational cost. We further extend the DC-based correlation method to renormalized CCSD(T) [Kowalski and Piecuch, J. Chem. Phys. 113, 18 (2000)] for avoiding the divergence that occurs in multireference problems such as bond dissociation.

    Original languageEnglish
    Article number114108
    JournalJournal of Chemical Physics
    Volume131
    Issue number11
    DOIs
    Publication statusPublished - 2009

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    Correlation methods
    scaling
    excitation
    Costs
    divergence
    flux density
    dissociation
    costs
    orbitals
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Physical and Theoretical Chemistry

    Cite this

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    title = "Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations",
    abstract = "We have reported the divide-and-conquer (DC)-based linear-scaling correlation treatment of coupled-cluster method with single and double excitations (CCSD) [Kobayashi and Nakai, J. Chem. Phys. 129, 044103 (2009)]. In the DC-CCSD method, the CCSD equations derived from subsystem orbitals are solved for each subsystem in order to obtain the total correlation energy by summing up subsystem contributions using energy density analysis. In this study, we extend the DC-CCSD method for treating noniterative perturbative triple excitations using CCSD T1 and T2 amplitudes, namely, CCSD(T). In the DC-CCSD(T) method, the so-called (T) corrections are also computed for each subsystem. Numerical assessments indicate that DC-CCSD(T) reproduces the CCSD(T) results with high accuracy and significantly less computational cost. We further extend the DC-based correlation method to renormalized CCSD(T) [Kowalski and Piecuch, J. Chem. Phys. 113, 18 (2000)] for avoiding the divergence that occurs in multireference problems such as bond dissociation.",
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    T1 - Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations

    AU - Kobayashi, Masato

    AU - Nakai, Hiromi

    PY - 2009

    Y1 - 2009

    N2 - We have reported the divide-and-conquer (DC)-based linear-scaling correlation treatment of coupled-cluster method with single and double excitations (CCSD) [Kobayashi and Nakai, J. Chem. Phys. 129, 044103 (2009)]. In the DC-CCSD method, the CCSD equations derived from subsystem orbitals are solved for each subsystem in order to obtain the total correlation energy by summing up subsystem contributions using energy density analysis. In this study, we extend the DC-CCSD method for treating noniterative perturbative triple excitations using CCSD T1 and T2 amplitudes, namely, CCSD(T). In the DC-CCSD(T) method, the so-called (T) corrections are also computed for each subsystem. Numerical assessments indicate that DC-CCSD(T) reproduces the CCSD(T) results with high accuracy and significantly less computational cost. We further extend the DC-based correlation method to renormalized CCSD(T) [Kowalski and Piecuch, J. Chem. Phys. 113, 18 (2000)] for avoiding the divergence that occurs in multireference problems such as bond dissociation.

    AB - We have reported the divide-and-conquer (DC)-based linear-scaling correlation treatment of coupled-cluster method with single and double excitations (CCSD) [Kobayashi and Nakai, J. Chem. Phys. 129, 044103 (2009)]. In the DC-CCSD method, the CCSD equations derived from subsystem orbitals are solved for each subsystem in order to obtain the total correlation energy by summing up subsystem contributions using energy density analysis. In this study, we extend the DC-CCSD method for treating noniterative perturbative triple excitations using CCSD T1 and T2 amplitudes, namely, CCSD(T). In the DC-CCSD(T) method, the so-called (T) corrections are also computed for each subsystem. Numerical assessments indicate that DC-CCSD(T) reproduces the CCSD(T) results with high accuracy and significantly less computational cost. We further extend the DC-based correlation method to renormalized CCSD(T) [Kowalski and Piecuch, J. Chem. Phys. 113, 18 (2000)] for avoiding the divergence that occurs in multireference problems such as bond dissociation.

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