Calculation of a hierarchical PbS-C superlattice in a multiwell model

A multiwell model of hierarchical semiconductor structures, which meets the requirements for stability of the spectrum and orthogonality of the wave functions of the states, is proposed. The energy dispersion, density of states, wave functions, and spectrum of a quasi-Fibonacci semiconductor system are calculated. A classification rule relating the structure of the spectrum to the structure of the system is formulated. The optical manifestations of the hierarchical organization of the spectrum are discussed.