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PreprintarXiv licencearXiv

Same-spin correlation screens the exchange peak of the electron gas near 2kF

  • Carl A. Kukkonen
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Abstract

Exchange alone gives the electron gas a local field factor with a sharp peak just below 2kF. Quantum Monte Carlo finds none. Both spin channels are computed here from their lowest diagrams with a dynamically screened interaction and no fitting. Parallel spin correlation is the negative image of exchange and removes about half the peak; the calculated spin-resolved factors account for the QMC data at rs = 1 and 2, and at q = 0 for the compressibility and spin susceptibility obtained from the ground-state energy. The two classes of diagrams are the two terms of the kernel of Hedin's vertex equation, of which the second is routinely dropped.

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Cite

BibTeXRIS
BibTeX
@misc{kukkonen2026samespin,
  title = {{Same-spin correlation screens the exchange peak of the electron gas near 2kF}},
  author = {Carl A. Kukkonen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35896},
  eprint = {2610.35896},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35896},
}
RIS
TY  - UNPB
TI  - Same-spin correlation screens the exchange peak of the electron gas near 2kF
AU  - Carl A. Kukkonen
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.35896
UR  - https://arxiv.org/abs/2610.35896
AB  - Exchange alone gives the electron gas a local field factor with a sharp peak just below 2kF. Quantum Monte Carlo finds none. Both spin channels are computed here from their lowest diagrams with a dynamically screened interaction and no fitting. Parallel spin correlation is the negative image of exchange and removes about half the peak; the calculated spin-resolved factors account for the QMC data at rs = 1 and 2, and at q = 0 for the compressibility and spin susceptibility obtained from the ground-state energy. The two classes of diagrams are the two terms of the kernel of Hedin's vertex equation, of which the second is routinely dropped.
ER  -