On-top pair-correlation function in the homogeneous electron liquid
Zhixin Qian
2006
Physical Review B
The ladder theory, in which the Bethe-Goldstone equation for the effective potential between two scattering particles plays a central role, is well known for its satisfactory description of the short-range correlations in the homogeneous electron liquid. By solving exactly the Bethe-Goldstone equation in the limit of large transfer momentum between two scattering particles, we obtain accurate results for the on-top pair-correlation density g(0), in both three dimensions and two dimensions.
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... ermore, we prove, in general, the ladder theory satisfies the cusp condition for the pair-correlation density g(r) at zero distance r=0.
doi:10.1103/physrevb.73.035106
fatcat:ofvjqn6stzgilplvnafv7ax7mu