Low-Temperature Spin Diffusion in a Spin-Polarized Fermi Gas

Details Low-Temperature Spin Diffusion in a Spin-Polarized Fermi Gas Low-Temperature Spin Diffusion in a Spin-Polarized Fermi Gas

1994-06-24

arxiv.org/abs/cond-mat/9406101v1

Phys. Rev. Lett., 74, 1613-1616 (1995)

Physics

Condensed Matter

13 pages, REVTEX, 3 figures available upon request, RU-94-49

Scientific paper

10.1103/PhysRevLett.74.1613

We present a finite temperature calculation of the transverse spin-diffusion coefficient, $D_\bot$, in a dilute degenerate Fermi gas in the presence of a small external magnetic field, $H$. While the longitudinal diffusion coefficient displays the conventional low-temperature Fermi-liquid behavior, $D_\parallel \propto T^{-2}$, the corresponding results for $D_\bot$ show three separate regimes: (a) $D_\bot \sim H^{-2}$ for $T \ll H$; (b) $D_\bot \sim T^{-2}$, $D_\bot /D_\parallel \neq 1$ for $T \gg H$ and large spin-rotation parameter $\xi \gg 1$, and (c) $D_\bot = D_\parallel \propto T^{-2}$ for $T \gg H$ and $\xi \ll 1$. Our results are qualitatively consistent with the available experimental data in weakly spin-polarized $^3{\rm He}$ and $^3{\rm He} - ^4{\rm He}$ mixtures.

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