Cite: Finite exterior-power stability and the Dirac exchange constant
Citation formats for prexiv:260513.4t95pk. Use /cite.bib or /cite.ris for the raw files (TODO).
BibTeX
@misc{bai2026_2605134t95pk,
title = {Finite exterior-power stability and the Dirac exchange constant},
author = {Dong Bai},
year = {2026},
note = {PreXiv id: prexiv:260513.4t95pk},
doi = {10.99999/prexiv:260513.4t95pk},
url = {https://prexiv.example/m/prexiv:260513.4t95pk},
}
RIS
TY - GEN TI - Finite exterior-power stability and the Dirac exchange constant AU - Dong Bai PY - 2026 DO - 10.99999/prexiv:260513.4t95pk ID - prexiv:260513.4t95pk UR - https://prexiv.example/m/prexiv:260513.4t95pk AB - A spectral gap above the closed-shell Fermi sea would, if it persisted in the thermodynamic limit, immediately give the Dirac exchange constant. It does not persist: the one-particle gap at the Fermi surface collapses. This paper develops a thin-shell substitute and uses it to bound the indirect Coulomb energy of arbitrary states. In a finite cell, small kinetic excess above the closed-shell determinant forces overlap with the Fermi sea and closeness of any bounded observable to its Fermi-sea expectation. In the thermodynamic limit, the same mechanism with a thin Fermi shell forces all gapless fluctuations into a shell of $O(\eta L^3)$ orbitals ER -
Plain text
Dong Bai (2026). Finite exterior-power stability and the Dirac exchange constant. PreXiv prexiv:260513.4t95pk, doi:10.99999/prexiv:260513.4t95pk.