Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-04-04
Phys. Rev. B 84, 033103 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
4+ pages, 2 figures, 2 tables, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.84.033103
The correlation energy per electron in the high-density uniform electron gas can be written as $\Ec(r_s,\zeta) = \lam_0(\zeta) \ln r_s + \eps_0(\zeta) + \lam_1(\zeta) \,r_s \ln r_s + O(r_s)$, where $r_s$ is the Seitz radius and $\zeta$ is the relative spin polarization. We derive an expression for $\lam_1(\zeta)$ which is exact for any $\zeta$, including the paramagnetic and ferromagnetic limits, $\lam_1(0)$ and $\lam_1(1)$, and discover that the previously published $\lam_1(1)$ value is incorrect. We trace this error to an integration and limit that do not commute. The spin-resolution of $\lam_1(\zeta)$ into contributions of electron pairs is also derived.
Gill Peter M. W.
Loos Pierre-François
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