English

The dissection algorithm for the second-Born self-energy

Other Condensed Matter 2019-09-04 v1 Atomic and Molecular Clusters Chemical Physics

Abstract

We describe an algorithm to efficiently compute the second-Born self-energy of many-body perurbation theory. The core idea consists in dissecting the set of all four-index Coulomb integrals into properly chosen subsets, thus avoiding to loop over those indices for which the Coulomb integrals are zero or negligible. The scaling properties of the algorithm with the number of basis functions is discussed. The computational gain is demonstrated in the case of one-particle Kohn-Sham basis for organic molecules.

Keywords

Cite

@article{arxiv.1810.03412,
  title  = {The dissection algorithm for the second-Born self-energy},
  author = {E. Perfetto and G. Stefanucci},
  journal= {arXiv preprint arXiv:1810.03412},
  year   = {2019}
}

Comments

6 pages, contribution to the proceedings of the workshop "Progress in Nonequilibrium Green's Function VII"

R2 v1 2026-06-23T04:31:59.493Z