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PreprintCC BY 4.0arXiv

Baldereschi mean value points for three-dimensional Bravais lattices

Abstract

The Baldereschi point of a crystal is a wavevector in the Brillouin zone at which every smooth periodic function of wavevector lies close to its mean value. Although originally introduced in the context of one-electron methods, mean-value points are ideal for explicitly correlated many-electron methods such as quantum Monte Carlo simulations, which can only use a single Bloch wavevector in the Brillouin zone of a simulation supercell. We have therefore evaluated and tabulated the Baldereschi mean-value points of all fourteen three-dimensional Bravais lattices.

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BibTeX
@misc{drummond2026baldereschi,
  title = {{Baldereschi mean value points for three-dimensional Bravais lattices}},
  author = {N. D. Drummond},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.16974},
  eprint = {2607.16974},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.16974},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Baldereschi mean value points for three-dimensional Bravais lattices
AU  - N. D. Drummond
PY  - 2026
DA  - 2026/08/03
PB  - arXiv
DO  - 10.48550/arxiv.2607.16974
UR  - https://arxiv.org/abs/2607.16974
AB  - The Baldereschi point of a crystal is a wavevector in the Brillouin zone at which every smooth periodic function of wavevector lies close to its mean value. Although originally introduced in the context of one-electron methods, mean-value points are ideal for explicitly correlated many-electron methods such as quantum Monte Carlo simulations, which can only use a single Bloch wavevector in the Brillouin zone of a simulation supercell. We have therefore evaluated and tabulated the Baldereschi mean-value points of all fourteen three-dimensional Bravais lattices.
ER  -