Superconductivity in Almost-Localized Fermi Liquids: Application to Heavy-Fermion Compounds

We consider the Landau theory of an almost-localized Fermi liquid with a very large $\frac{m^{*}}{m}$ ratio. We argue that this system has a superconducting transition to a $p$-wave state. We estimate $T_c$, calculate the specific-heat discontinuities at $T_c$, and discuss phase stability. Using available experimental data for $\gamma$ and $k_{\mathrm{F}}$, we find that our results for this model are in good agreement with the known experimental values for heavy-fermion compounds.