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- W2065772251 abstract "The dynamics of normal and fully spin-polarized $^{3}mathrm{He}$ are studied for momentum transfers below 2 A${mathrm{r{}}}^{mathrm{ensuremath{-}}1}$. This study is based on a first-principles calculation of the dynamic susceptibility, ensuremath{chi}(Q,ensuremath{omega}). We invoke the Baym and Kadanoff (BK) procedure for generating an approximate particle-hole irreducible interaction, ${mathit{I}}_{mathrm{ph}}$, which is needed in the calculation of ensuremath{chi}(Q,ensuremath{omega}). The BK procedure yields an ${mathit{I}}_{mathrm{ph}}$ that conserves particle number, energy, and momentum. When the BK procedure is applied to the Galitskii-Feynman-Hartree-Fock (GFHF) self-energy, the resulting ${mathit{I}}_{mathrm{ph}}$ consists of direct and induced terms. Previous calculations using GFHF theory have neglected induced effects. For Q2 A${mathrm{r{}}}^{mathrm{ensuremath{-}}1}$, the induced term contributes significantly to the strength of ${mathit{I}}_{mathrm{ph}}$. Landau parameters calculated with induced effects included are greatly improved. We compare our (static) ${mathit{I}}_{mathrm{ph}}$ to those obtained from other first-principles calculations, from polarization-potential theories, and from the available experimental data. In spin-polarized $^{3}mathrm{He}$, we find that ${mathit{I}}_{mathrm{ph}}$ is strongly density dependent. In normal $^{3}mathrm{He}$, the same behavior is observed for the spin-symmetric contribution. In contrast, the spin-antisymmetric contribution is nearly independent of density. This finding is in agreement with experiment. For both systems a well-defined zero-sound mode was determined. Using our microscopically determined ${mathit{I}}_{mathrm{ph}}$, effective mass, Landau parameter ${mathit{F}}_{1}^{mathit{s}}$, and a polarization-potential form for the frequency dependence of ${mathit{I}}_{mathrm{ph}}$, we obtained a zero-sound dispersion that agrees well at low Q with the experimentally determined one. Finally, we comment on the relevance of the spin-fluctuation contribution observed in our ${mathit{I}}_{mathrm{ph}}$ for the case of normal $^{3}mathrm{He}$." @default.
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- W2065772251 date "1991-09-01" @default.
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- W2065772251 title "Dynamics and particle-hole interactions in liquid<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>: A Green’s-function approach" @default.
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- W2065772251 doi "https://doi.org/10.1103/physrevb.44.5216" @default.
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