Conditions of formation of doping superstructures at phase transitions

This work is aimed at general analytical representation of the conditions necessary for generation of layered periodic doping superstructures resulting from the solid-state phase transition accompanied by variation in admixture concentration. Using the capillary-wave model, the explicit expression for the region of temperature gradient and averaged interface velocity, inside which the interface velocity transits to the regime of periodic oscillations, is obtained. The formula for the spatial period of the doping superstructure whose appearance is caused by these oscillations is derived.