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Zero-temperature attenuation and transverse spin dynamics in Fermi liquids. III. Low spin polarizations

Journal Article · · Journal of Low Temperature Physics; (United States)
DOI:https://doi.org/10.1007/BF00754715· OSTI ID:7021776
;  [1]
  1. Univ. of Rhode Island, Kingston, RI (United States)
This is the third in a series of papers on microscopic theory of transverse dynamics in spin-polarized Fermi liquids. In the lowest order in polarization the exact general theory reproduces the conventional Landau-Silin-Leggett theory of Fermi liquids. The next term in polarization expansion contains a zero-temperature attenuation with the magnitude that does not depend on polarization. This attenuation results in a finite relaxation time in transverse spin dynamics at zero temperature and is responsible for anomalous temperature behavior of spin diffusion. The zero-temperature attenuation is determined by two angular harmonics of the derivatives of the mass operators and the irreducible vertex in off-shell directions, and cannot be expressed via standard Fermi liquid harmonics. At high polarizations, the parameters of transverse spin dynamics are calculated as an expansion in polarization. The expansion involves complex values of interaction function and energy on a set of isoenergetic surfaces with the radii between the Fermi momenta for up and down spins, p[down arrow] and p[up arrow]. The results explain recent experimental data on spin diffusion in spin-polarized liquid [sup 3]He[up arrow] and [sup 3]He[up arrow]-[sup 4]He mixtures. The comparison with experimental data indicates that the superfluid transition temperature for [sup 3]He in [sup 3]He-[sup 4]He mixtures may be much lower than the current estimates.
OSTI ID:
7021776
Journal Information:
Journal of Low Temperature Physics; (United States), Journal Name: Journal of Low Temperature Physics; (United States) Vol. 95:5-6; ISSN JLTPAC; ISSN 0022-2291
Country of Publication:
United States
Language:
English

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