A multilayer thermal expansion interface between silicon (Si) and gallium nitride (GaN) films is provided, along with an associated fabrication method. The method provides a (111) Si substrate and forms a first layer of a first film overlying the substrate. The Si substrate is heated to a temperature in the range of about 300 to 800° C., and the first layer of a second film is formed in compression overlying the first layer of the first film. Using a lateral nanoheteroepitaxy overgrowth (LNEO) process, a first GaN layer is grown overlying the first layer of second film. Then, the above-mentioned processes are repeated: forming a second layer of first film; heating the substrate to a temperature in the range of about 300 to 800° C.; forming a second layer of second film in compression; and, growing a second GaN layer using the LNEO process.