FRACTAL PROPERTIES OF EXCITONIC FORMATIONS IN NANOSTRUCTURED SEMICONDUCTORS

Abstract

We suggest the fractal model for the description of exciton spectra in nanostructured semiconductors with chaotic structure. In this case the well-known analogy of exciton with hydrogen-like atom is insufficient.

We derive equations for energy of exciton, biexciton and trion depending on energy of exciting photon. Comparison of the results of our theory to the recent experimental data is given in the paper. Theory shows the existence of most universal regularities of hierarchical systems.