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PreprintarXiv licencearXiv

Consistent perturbation expansions in screened interactions

  • Abdallah Arthur El Sahili
  • Francesco Sottile
  • Lucia Reining
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Abstract

Many-body perturbation theory is a powerful framework to calculate spectroscopic quantities, as well as the total energy. However, the field suffers from the fact that different flavors of approximations lead to a wide range of results. We present several in principle exact expansions and discuss how to use them consistently. We concentrate on the first two orders in the respective screened Coulomb interaction. Of special interest is a consistent expansion around the Kohn-Sham system. We illustrate the performance of the various choices using the symmetric Hubbard dimer over a wide range of correlation strength. In particular, the expansion based on exact Kohn-Sham ingredients stands out as a promising route towards good energies and good spectra.

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Cite

BibTeXRIS
BibTeX
@misc{sahili2026consistent,
  title = {{Consistent perturbation expansions in screened interactions}},
  author = {Abdallah Arthur El Sahili and Francesco Sottile and Lucia Reining},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03569},
  eprint = {2610.03569},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03569},
}
RIS
TY  - UNPB
TI  - Consistent perturbation expansions in screened interactions
AU  - Abdallah Arthur El Sahili
AU  - Francesco Sottile
AU  - Lucia Reining
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03569
UR  - https://arxiv.org/abs/2610.03569
AB  - Many-body perturbation theory is a powerful framework to calculate spectroscopic quantities, as well as the total energy. However, the field suffers from the fact that different flavors of approximations lead to a wide range of results. We present several in principle exact expansions and discuss how to use them consistently. We concentrate on the first two orders in the respective screened Coulomb interaction. Of special interest is a consistent expansion around the Kohn-Sham system. We illustrate the performance of the various choices using the symmetric Hubbard dimer over a wide range of correlation strength. In particular, the expansion based on exact Kohn-Sham ingredients stands out as a promising route towards good energies and good spectra.
ER  -