Modification of the virtual-crystal approximation for ternary III-V compounds

Abstract

We discuss a modification of the virtual-crystal approximation for alloys in the semiempirical tight-binding method of band-structure calculations, which explicitly includes the interactions between unlike second neighbors. The results are applied to the quaternary ${\mathrm{Ga}}_{y}{\mathrm{In}}_{1\ensuremath{-}y}{\mathrm{As}}_{x}{\mathrm{P}}_{1\ensuremath{-}x}$ and its constituent ternary compounds.