Computerized implementation of higher-order electron-correlation methods and their linear-scaling divide-and-conquer extensions

Masahiko Nakano, Takeshi Yoshikawa, So Hirata, Junji Seino, Hiromi Nakai

Research output: Contribution to journalArticle

6 Citations (Scopus)


We have implemented a linear-scaling divide-and-conquer (DC)-based higher-order coupled-cluster (CC) and Møller–Plesset perturbation theories (MPPT) as well as their combinations automatically by means of the tensor contraction engine, which is a computerized symbolic algebra system. The DC-based energy expressions of the standard CC and MPPT methods and the CC methods augmented with a perturbation correction were proposed for up to high excitation orders [e.g., CCSDTQ, MP4, and CCSD(2)TQ]. The numerical assessment for hydrogen halide chains, polyene chains, and first coordination sphere (C1) model of photoactive yellow protein has revealed that the DC-based correlation methods provide reliable correlation energies with significantly less computational cost than that of the conventional implementations.

Original languageEnglish
Pages (from-to)2520-2527
Number of pages8
JournalJournal of Computational Chemistry
Issue number29
Publication statusPublished - 2017 Nov 5



  • divide-and-conquer method
  • electron-correlation theory
  • linear-scaling
  • tensor contraction engine

ASJC Scopus subject areas

  • Chemistry(all)
  • Computational Mathematics

Cite this