Sum rule for the Landau fermi-liquid parameters in metals

William F. Brinkman, P. M. Platzman, T. M. Rice

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

We have derived an exact sum rule among the Legendre polynomial expansion coefficients of the Landau f function. The relation explicitly depends on both band-structure and phonon-anisotropy effects. It is based on the exclusion principle and correctly takes into account the effects of the long-range self-consistent field. We compare the predictions of the sum rule with the sum of the first few experimentally determined Landau parameters for Na. The results of the comparison are consistent with the existing data.

Original languageEnglish (US)
Pages (from-to)495-499
Number of pages5
JournalPhysical Review
Volume174
Issue number2
DOIs
StatePublished - Dec 1 1968
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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