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PreprintarXiv licencearXiv

Examination of Cluster Based Methods to Fermionic Systems

  • Jeffrey Keyes
  • Carlos Jimenez-Hoyos
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Abstract

We present the cluster mean field(cMF) and its extensions into perturbation theory(cPT) and coupled cluster(cCC) methods for fermionic systems. We discuss how the commutation rules for fermionic systems modifies the method as well as other computational details. We then perform calculations on the Hubbard model and a few select conjugated molecules to demonstrate the efficacy of the method. We will also use these examples to compare cluster methods to CAS-SCF.

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Cite

BibTeXRIS
BibTeX
@misc{keyes2026examination,
  title = {{Examination of Cluster Based Methods to Fermionic Systems}},
  author = {Jeffrey Keyes and Carlos Jimenez-Hoyos},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08773},
  eprint = {2609.08773},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08773},
}
RIS
TY  - UNPB
TI  - Examination of Cluster Based Methods to Fermionic Systems
AU  - Jeffrey Keyes
AU  - Carlos Jimenez-Hoyos
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08773
UR  - https://arxiv.org/abs/2609.08773
AB  - We present the cluster mean field(cMF) and its extensions into perturbation theory(cPT) and coupled cluster(cCC) methods for fermionic systems. We discuss how the commutation rules for fermionic systems modifies the method as well as other computational details. We then perform calculations on the Hubbard model and a few select conjugated molecules to demonstrate the efficacy of the method. We will also use these examples to compare cluster methods to CAS-SCF.
ER  -