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

    Research output: Contribution to journal › Article

    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

    Fingerprint

    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

    Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations. / Kobayashi, Masato; Nakai, Hiromi.

    In: Journal of Chemical Physics, Vol. 131, No. 11, 114108, 2009.

    Research output: Contribution to journal › Article

    Kobayashi, M & Nakai, H 2009, 'Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations', Journal of Chemical Physics, vol. 131, no. 11, 114108. https://doi.org/10.1063/1.3211119
    Kobayashi M, Nakai H. Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations. Journal of Chemical Physics. 2009;131(11). 114108. https://doi.org/10.1063/1.3211119
    Kobayashi, Masato ; Nakai, Hiromi. / Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations. In: Journal of Chemical Physics. 2009 ; Vol. 131, No. 11.
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