ELECTRON CORRELATION IN METALS
Abstract
The first and second-order density matrices for a uniform electron gas are discussed in the limiting cases of weak coupling (usual gas parameter r sub s approaches 0) and strong coupling (r sub s approaches infinity). Attention is focussed on the important pair distribution function and on the momentum distribution. If the high density form of the momentum distribution of Daniel and Vosko is adopted, then conclusions can be drawn regarding the meaning of a Fermi surface in a system of interacting particles. However, the applicability of perturbation theory to the calculation of the momentum distribution is thrown into some doubt by a calculation we have carried out on a soluble problem. Here we find that the perturbative answer is not correct, but unfortunately the problem, that of non-interacting electrons in a magnetic field, is very different physically from the Coulomb correlation case. Variational forms of second order density matrices are discussed, and the Euler equations are obtained for one possible scheme based on localized orbitals. Finally, some progress on the non-uniform gas is briefly reported.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0409552
Entities
People
- N. H. March
- W. Jones
Organizations
- University of Sheffield