Estimation of the Critical Temperature of Electron-Hole Droplets in Ge and Si

The evaporation of electron-hole droplets is studied. Even at the critical temperature $T_c$, the electron-hole density of the fluid is large enough that it is not so badly represented by a plasma model. $T_c$ is obtained using an expansion to the second order in $T$ of the chemical potential $\mu (T, r_s)$ including correlation. The results of this crude method are in good agreement with experiments.