Dynamics and particle-hole interactions in liquid sup 3 He: A Green's-function approach

Journal Article · Sun Sep 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.5216· OSTI ID:5220468

Clements, B E; Greeff, C W ^[1]; Glyde, H R ^[2]

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1. Department of Physics, University of Delaware, Newark, Delaware (USA)
2. Department of Physics, University of Alberta, Edmonton (Canada)

The dynamics of normal and fully spin-polarized {sup 3}He are studied for momentum transfers below 2 A{sup {minus}1}. This study is based on a first-principles calculation of the dynamic susceptibility, {chi}({bold Q},{omega}). We invoke the Baym and Kadanoff (BK) procedure for generating an approximate particle-hole irreducible interaction, {ital I}{sub ph}, which is needed in the calculation of {chi}({bold Q},{omega}). The BK procedure yields an {ital I}{sub 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 {ital I}{sub ph} consists of direct and induced terms. Previous calculations using GFHF theory have neglected induced effects. For {ital Q}{lt}2 A{sup {minus}1}, the induced term contributes significantly to the strength of {ital I}{sub ph}. Landau parameters calculated with induced effects included are greatly improved. We compare our (static) {ital I}{sub ph} to those obtained from other first-principles calculations, from polarization-potential theories, and from the available experimental data. In spin-polarized {sup 3}He, we find that {ital I}{sub ph} is strongly density dependent. In normal {sup 3}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 {ital I}{sub ph}, effective mass, Landau parameter {ital F}{sub 1}{sup {ital s}}, and a polarization-potential form for the frequency dependence of {ital I}{sub ph}, we obtained a zero-sound dispersion that agrees well at low {ital Q} with the experimentally determined one.

• DOE Contract Number: FG02-84ER45082
• OSTI ID: 5220468
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:10; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EVEN-ODD NUCLEI
FUNCTIONS
GREEN FUNCTION
HELIUM 3
HELIUM ISOTOPES
HOLES
ISOTOPES
LIGHT NUCLEI
NUCLEI
ORIENTATION
SPIN ORIENTATION
STABLE ISOTOPES
SUPERFLUIDITY