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An induced interaction model for arbitrarily polarized Fermi systems

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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.

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Authors and Affiliations

  1. Physics Department, State University of New York, Stony Brook, New York

    K. F. Quader & K. S. Bedell

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  1. K. F. Quader
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  2. K. S. Bedell
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Quader, K.F., Bedell, K.S. An induced interaction model for arbitrarily polarized Fermi systems. J Low Temp Phys 58, 89–125 (1985). https://doi.org/10.1007/BF00682568

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  • DOI: https://doi.org/10.1007/BF00682568

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