Low-Temperature Mobility of Heavy Impurities in Fermi Liquids

Abstract

The temperature dependence of the mobility $\mu$ of a heavy impurity in a interacting Fermi liquid is found to be of the form $\frac{1}{\mu }=A+B{T}^2\ln \left(\frac{1}{T}\right)+O\left(T^2\right)$ for low $T$. The coefficients are calculated for the case of a large, hard-sphere impurity. The result is in qualitative agreement with recent experimental data for negative ions in ${\mathrm{He}}^3$.