The on-top pair-correlation density in the homogeneous electron liquid

Abstract

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. Furthermore, we prove, in general, the ladder theory satisfies the cusp condition for the pair-correlation density $g(r)$ at zero distance $r=0$.

8 pages, 4 figures

References in corpus (6)

• Pair-distribution functions of the two-dimensional electron gas
• Spin Resolution of the Electron-Gas Correlation Energy: Positive same-spin contribution
• Criticality of Electron-Nucleus Cusp Condition to Local Effective Potential Energy Theories
• Pair densities at contact in the quantum electron gas
• Pair distribution function in a two-dimensional electron gas
• Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid

Cited by in corpus (5)

• Quantum Monte Carlo study of the three-dimensional spin-polarized homogeneous electron gas
• Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence
• Coupled Cluster Channels in the Homogeneous Electron Gas
• Quantum Monte Carlo study of the ground state of the two-dimensional Fermi fluid
• The high-density electron gas: How its momentum distribution n(k) and its static structure factor S(q) are mutually related through the off-shell self-energy Sigma(k,omega)