Electron states in the quantum wire with periodic serial structure

A model infinite quantum wire embedded in a matrix permeable to electron waves is investigated in terms of electronic states. The wire is assumed to have a 1D crystal structure. Through electron waves propagating in its surroundings, lateral modes are coupled with Bloch waves propagating along the wire axis, which results in modes splitting into multiplets. The results presented in this study have been obtained by direct solution of the Schrödinger equation in the effective mass approximation.