Journal of Low Temperature Physics

, Volume 58, Issue 1–2, pp 89–125 | Cite as

An induced interaction model for arbitrarily polarized Fermi systems

  • K. F. Quader
  • K. S. Bedell
Article

Abstract

A model for calculating the interactions in arbitrarily spin-polarized Fermi systems is presented. Starting from the four-point vertex functions, the “induced” part of the interactions is deduced by explicitly treating the one-particle, one-hole irreducible diagrams and using some general crossing symmetry relations. Extrapolation away from the Fermi surface is carried out by replacing the particle-hole phase space by Lindhard functions in the “crossed” channel; consequently, calculation of the necessary ↑-↓ phase space function is presented. The longitudinal spin-density and density responses for polarized systems are obtained by diagrammatic means. A possible way of treating the “direct” part of the interactions using Born approximation is also discussed. Finally, the limits of the model for zero and full polarization are given.

Keywords

Phase Space Magnetic Material Space Function Interaction Model Fermi Surface 

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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • K. F. Quader
    • 1
  • K. S. Bedell
    • 1
  1. 1.Physics DepartmentState University of New YorkStony Brook

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