Fermi-Liquid Droplets in Liquid-Solid Solutions of the Helium Isotopes

For temperatures below phase separation of 1000 ppm ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ in solid ${}_{}{}^4{}_{}{}^{}\mathrm{He}$, we measure a heat capacity $\gamma T$ for a pressure between melting of pure ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ and ${}_{}{}^4{}_{}{}^{}\mathrm{He}$. Together with the confined sample geometry, this results in liquid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ droplets ($\varphi \sim {10}^3$ Å) either dilute or pure depending on the phase diagram topology which is discussed theoretically. In the case of a pure ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ droplet, an anomalously high effective mass $\frac{m^{*}}{m}=10\mathrm{}$ is found, which could be explained by paramagnon effects enhanced by the confined geometry.