Direct-band-gap absorption in germanium under pressure

Abstract

The optical absorption of Ge near the direct band gap ${E}_{0}$ (${\ensuremath{\Gamma}}_{8v}^{+}$\ensuremath{\rightarrow}${\ensuremath{\Gamma}}_{7c}^{\mathrm{\ensuremath{-}}}$) has been investigated at pressures up to 9 GPa with use of thin samples of 3 and 11 \ensuremath{\mu}m thickness. We find a linear blue shift of the gap energy (${\mathrm{dE}}_{0}$/dP=0.121 eV/GPa) and an indication for a small increase of the corresponding spin-orbit splitting ${\ensuremath{\Delta}}_{0}$ by 2.4 meV/GPa. The pressure dependence of the band gap ${E}_{0}$ predicted by recent ab initio band-structure calculations is in good agreement with the present experimental results. The strength of the absorption at the direct edge is found to increase by a factor of 3 in the pressure range from 0 to 9 GPa.