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Two-Dimensional Island Based Model for Self-Inducing Quantum Dots

We propose a thermodynamic model which describes the formation of self-inducing quantum dots from two-dimensional islands. We assumed that the migrating atoms on the substrate surface can exist only on the surface lattice sites away from the two-dimensional islands. With this assumption, there is a maximum size of the two-dimensional islands in equilibrium with the migrating atoms. A source supply on the surface, after the islands reach the maximum size, causes size reduction of the two-dimensional islands. This size reduction induces the first-order phase transition of the two-dimensional islands to quantum dots.