Electronic Spectrum of Superlattice Wires

We consider superlattice nanowires, and find an exact solution to the model-independent quantum Hamiltonian. We obtained a closed-form solution to this problem. The energy levels for general interatomic interactions are calculated in the context of the Hubbard model. We obtain an explicit formula for the function whose roots render the energy states. The corresponding energy bands can be tuned by the usual superlattices concept of pattern control but also, in the case of nanowires, by controlling the interatomic separation of the structure. We apply our results to nanowire tunneling diodes, angle-resolved photoemission spectroscopy, and Si-Ge superlattice nanowires.