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.
more » ... 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