Simple Physical Picture of the Overhauser Screened Electron-Electron Interaction

Details Simple Physical Picture of the Overhauser Screened Electron-Electron Interaction Simple Physical Picture of the Overhauser Screened Electron-Electron Interaction

2003-07-16

arxiv.org/abs/cond-mat/0307389v1

Phys. Rev. B 69, 045108 (2004)

Physics

Condensed Matter

Materials Science

4 pages, 5 figures, submitted as a Brief Report to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.69.045108

As shown by Overhauser and others, the pair-distribution function $g(r)$ of a many-electron system may be found by solving a two-electron scattering problem with an effective screened electron-electron repulsion $V(r)$. We propose a simple physical picture in which this screened repulsion is the ``dressed-dressed'' interaction between two neutral objects, each an electron surrounded by its full-coupling exchange-correlation hole. For the effective interaction between two electrons of antiparallel spin in a high-density uniform electron gas of arbitrary spin polarization, we confirm that this picture is qualitatively correct. In contrast, the ``bare-dressed'' interaction is too repulsive, and does not have the expected symmetry $V_{\ud}(r) = V_{\du}(r)$. The simple original Overhauser model interaction, independent of the relative spin polarization $\zeta$, does not capture the $\zeta$-dependence of the correlation contribution to $g(r=0)$.

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