Coverage dependence of the Landau Fermi-liquid parameters FA0 and FS1 for 3He on thin 4He films

We present the results from our heat capacity experiments on two-dimensional liquid $^{3}\mathrm{He}$ on thin superfluid $^{4}\mathrm{He}$ films adsorbed to Nuclepore. Measurement of the specific heat at low temperatures $(40lTl220\phantom{\rule{0.3em}{0ex}}\mathrm{mK})$ over a $^{3}\mathrm{He}$ coverage range 0.02--0.93 atomic layers on 3.14 and 4.33 bulk-density atomic layer $^{4}\mathrm{He}$ films enables the determination of the $^{3}\mathrm{He}$ quasiparticle effective mass ${m}^{*}$. Combining these results with previous $^{3}\mathrm{He}$ NMR magnetic susceptibility measurements for the same substrate and $^{4}\mathrm{He}$ coverages permits the determination of the two-dimensional Landau Fermi-liquid parameters ${F}_{0}^{A}$ and ${F}_{1}^{S}$.