ELECTRON CORRELATION IN METALS

Abstract

Results for the diagonal element of the second-order density matrix (pair function) and for the momentum distribution of an interacting electron gas are presented. In the low density limit, it is shown that, to a similar degree of approximation, the first-order density matrix and hence the momentum distribution may be obtained. In the high-density problem, the pair function has also been calculated using the Green's function approach. From the information thus available in these high and low density limits, the range of usefulness of the concept of the Fermi surface in an interacting electron gas is discussed. Also, results of variational calculations on the stability of Overhauser spin-density waves in metals are reported. It is concluded that such waves reduce the energy below the Hartree-Fock value only when the interaction becomes very strong, or equivalently when the density is very low. Some preliminary work on the correlation problem in a non-uniform electron gas is also briefly discussed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1961
Accession Number
AD0273793

Entities

People

  • N. H. March
  • S. Sampanthar

Organizations

  • University of Sheffield

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Crystal Lattices
  • Crystal Structure
  • Cubic Lattices
  • Electron Density
  • Electron Gas
  • Electrons
  • Energy
  • Fermi Surfaces
  • Government Procurement
  • High Density
  • Low Density
  • Perturbation Theory
  • Perturbations
  • Plane Waves
  • Potential Energy
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Plasma Physics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics