Investigation of the Luttinger parameters for InP using hot-electron luminescence.

Abstract

The dispersions of the ${\mathrm{\ensuremath{\Gamma}}}_{6}^{\mathit{c}}$ conduction band and the ${\mathrm{\ensuremath{\Gamma}}}_{8}^{\mathit{v}}$ heavy-hole band in InP are measured with 1-meV accuracy over a range of wave vectors using directionally averaged hot-electron luminescence spectroscopy. The k\ensuremath{\cdot}p method is used to relate wave vectors to the measured energies, and to investigate the sensitivity of these dispersions to the k\ensuremath{\cdot}p parameters in general and to the Luttinger parameters ${\ensuremath{\gamma}}_{1}$, ${\ensuremath{\gamma}}_{2}$, and ${\ensuremath{\gamma}}_{3}$ in particular. It is found that not one but many different Luttinger parameter triplets are consistent with the hot-electron luminescence data, and several works from the literature are reviewed in this new context.