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- W2086145101 abstract "The microscopic theory of a superfluid Fermi liquid at finite temperature is developed for the case of a pure system with $S$-wave pairing, and applied to the calculation of the static properties. As a function of $ensuremath{theta}ensuremath{equiv}frac{T}{{T}_{c}}$ these properties are determined entirely by the Landau parameters ${F}_{0}$, ${F}_{1}$, ${Z}_{0}$, etc., characterizing quasiparticle interactions in the normal phase. In particular the spin susceptibility $ensuremath{chi}$ and the density of the normal component ${ensuremath{rho}}_{n}$ are given by $frac{ensuremath{chi}(ensuremath{theta})}{ensuremath{chi}(1)}=(1+frac{1}{4}{Z}_{0})frac{f(ensuremath{theta})}{[1+frac{1}{4}{Z}_{0}f(ensuremath{theta})]},$ $frac{{ensuremath{rho}}_{n}}{ensuremath{rho}}=(1+frac{1}{3}{F}_{1})frac{f(ensuremath{theta})}{[1+frac{1}{3}{F}_{1}f(ensuremath{theta})]},$ where the universal function $f(ensuremath{theta})ensuremath{equiv}ensuremath{-}{[ensuremath{nu}(0)]}^{ensuremath{-}1}{ensuremath{Sigma}}_{mathrm{p}}(frac{mathrm{dn}}{d{E}_{mathrm{p}}})$ is the effective density of states near the Fermi surface relative to its value $ensuremath{nu}(0)$ in the normal phase. Thus the often-quoted expression ${ensuremath{rho}}_{n}=frac{1}{3}{ensuremath{Sigma}}_{mathrm{p}}{mathrm{p}}^{2}(frac{mathrm{dn}}{d{E}_{mathrm{p}}})$ is valid for an interacting system only in the limit $Tensuremath{rightarrow}0$. In the latter part of the paper a simple phenomenological theory of Fermi-liquid effects on $ensuremath{chi}$ and ${ensuremath{rho}}_{n}$ is developed for arbitrary conditions (including the presence of impurities and pairing with $lensuremath{ne}0$); it is found that under most circumstances explicit expressions for $ensuremath{chi}$ and ${ensuremath{rho}}_{n}$ may be obtained which involve only the Landau parameters and a suitably generalized effective density of states. The theory should apply to the possible superfluid phase of ${mathrm{He}}^{3}$ and to most superconductors. It is suggested that the Knight shift in nontransition-metal superconductors should display some Fermi-liquid effects. The weak-field dc penetration depth $ensuremath{lambda}(T)$ is shown to be insensitive to such effects both in the Pippard limit and near ${T}_{c}$; however, in a London superconductor at lower temperatures the correction to $ensuremath{lambda}(T)$ should be observable and yield a direct estimate of ${F}_{1}$." @default.
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- W2086145101 date "1965-12-13" @default.
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- W2086145101 title "Theory of a Superfluid Fermi Liquid. I. General Formalism and Static Properties" @default.
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- W2086145101 doi "https://doi.org/10.1103/physrev.140.a1869" @default.
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