Thermodynamics of the Electron-Hole Liquid in Ge, Si, and GaAs

Thermodynamic properties of the electron-hole liquid are calculated for five systems: Ge, Si, and Ge under large $〈111〉$ uniaxial stress, Si under large $〈100〉$ uniaxial stress, and GaAs. Important effects of multiple scattering and anisotropy are included in the correlation energy. For Ge, the ground-state energy, enhancement factor, compressibility, critical temperature, critical density, temperature dependence of Fermi energy, chemical potential, and equilibrium density are in good agreement with experiments.