Abstract
Controlling the composition of ternary III-V semiconductor nanowires is of high technological importance and the current theoretical understanding is so far limited. We derive a model for the kinetically limited composition of metal-particle-seeded, ternary nanowires. The model is based on the diffusion controlled growth rate of supercritical nuclei. Applying this model to gold-seeded and self-seeded growth of ${\mathrm{In}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}$ we are able to explain the experimentally observed features related to nanowire compositions, including the attainability of compositions within the miscibility gap. By directly comparing with experiments we find that 2% arsenic in the alloy particle during self-seeded growth of InGaAs nanowires is a realistic assumption.
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