Pair densities at contact in the quantum electron gas
arXiv:cond-mat/0211053 · doi:10.1016/S0038-1098(02)00782-2
Abstract
The value of the pair distribution function g(r) at contact (r = 0) in a quantum electron gas is determined by the scattering events between pairs of electrons with antiparallel spins. The theoretical results for g(0) as a function of the coupling strength r_s in the paramagnetic electron gas in dimensionality D=2 and 3, that have been obtained from the solution of the two-body scattering problem with a variety of effective scattering potentials embodying many-body effects, are compared with the results of many-body calculations in the ladder approximation and with quantum Monte Carlo data.
arXiv comment7 pages, 2 figures
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- Simple Physical Picture of the Overhauser Screened Electron-Electron Interaction
- The on-top pair-correlation density in the homogeneous electron liquid
- Correlation energy of a two-dimensional electron gas from static and dynamic exchange-correlation kernels