TY - JOUR
T1 - Correlation energy of the spin-polarized uniform electron gas at high density
AU - Loos, Pierre François
AU - Gill, Peter M.W.
PY - 2011/7/11
Y1 - 2011/7/11
N2 - The correlation energy per electron in the high-density uniform electron gas can be written as Ec(rs,ζ)=λ 0(ζ)lnrs+0(ζ)+λ 1(ζ)rslnrs+O(rs), where r s is the Seitz radius and ζ is the relative spin polarization. We derive an expression for λ1(ζ) that is exact for any ζ, including the paramagnetic and ferromagnetic limits, λ1(0) and λ1(1), and discover that the previously published λ1(1) value is incorrect. We trace this error to an integration and limit that do not commute. The spin resolution of λ1(ζ) into contributions of electron pairs is also derived.
AB - The correlation energy per electron in the high-density uniform electron gas can be written as Ec(rs,ζ)=λ 0(ζ)lnrs+0(ζ)+λ 1(ζ)rslnrs+O(rs), where r s is the Seitz radius and ζ is the relative spin polarization. We derive an expression for λ1(ζ) that is exact for any ζ, including the paramagnetic and ferromagnetic limits, λ1(0) and λ1(1), and discover that the previously published λ1(1) value is incorrect. We trace this error to an integration and limit that do not commute. The spin resolution of λ1(ζ) into contributions of electron pairs is also derived.
UR - http://www.scopus.com/inward/record.url?scp=79961232764&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.84.033103
DO - 10.1103/PhysRevB.84.033103
M3 - Article
SN - 1098-0121
VL - 84
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 3
M1 - 033103
ER -