Low-Temperature Ion Mobility in Interacting Fermi Liquids

Abstract

The temperature dependence of the mobility $\mu$ of a heavy ion in a neutral interacting Fermi liquid is found to be of the form $\frac{1}{\mu }=R-\frac{S{T}^2\ln 1}{T}+\mathrm{O}\left(T^2\right)$ for low $T$ where $R$ and $S$ are constants. The $T^2\ln T$ term is a consequence of the Friedel density oscillations around the ion and would be absent for the noninteracting Fermi liquid investigated by other authors. The coefficients are calculated for the case of a large hard sphere. The pressure dependence of the coefficients and the predicted temperature dependence are in reasonable agreement with recent experimental data for negative ions in ${\mathrm{He}}^3$.