Effect of anisotropic band parameters on band-to-band Auger recombination inIn0.72Ga0.28As0.6P0.4

Abstract

The band-to-band Auger recombination rate in ${\mathrm{In}}_{0.72}$${\mathrm{Ga}}_{0.28}$${\mathrm{As}}_{0.6}$${\mathrm{P}}_{0.4}$ is calculated taking into account anisotropy in band parameters such as overlap integrals and band curves. The effect of electron-hole plasma interaction as well as that of phonon assistance is also considered. It is stressed that the wave-vector direction around $\ensuremath{\Delta}$ is much less contributive to the Auger process than the $\ensuremath{\Lambda}$ and $\ensuremath{\Sigma}$ directions. The reason is that the overlap integral between the conduction band and the heavy-hole band is zero along $\ensuremath{\Delta}$ and is especially large along $\ensuremath{\Lambda}$ and $\ensuremath{\Sigma}$. As a result it is shown that the Auger recombination in the electron-hole-hole collision process is predominant over that in the electron-electron-hole collision process.