Influence of the Coulomb interaction on the Fermi hole in an electron liquid
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AbstractFrom the diagrammatic analysis, it is proved that the spin-parallel part of the static structure factor of an electron liquid, S↑↑(q), has the following exact asymptotic form for q⪢pf: S↑↑(q)−1=4(αrs/π)(pf/q)6d2g↑↑(r)/d(pfr)2|pfr=0+⋯, α=(4/9π)1/3, where pf is the Fermi wave number and g↑↑(r) the spin-parallel pair correlation function. The second derivative of g↑↑(r) at zero separation is evaluated in the particle–particle ladder approximation.

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