Spectrum and electron-phonon interaction in a medium with a cylindrical quantum wire

The effect of multiphonon processes on the electronic (hole) spectrum in a β-HgS/CdS nanoheterostructure (cylindrical quantum wire in a bulk medium) is studied in the dielectriccontinuum model. The electron-phonon interaction Hamiltonian is obtained for a potential well of finite depth. The shift of the electron (hole) energy level as a result of the interaction with optical longitudinal (confined) and interface phonons is determined. The dependence of the band gap of the nanosystem β-HgS/CdS on the radius of the quantum wire is found. It is established that interface phonons play the dominant role in the renormalization of the electronic (hole) spectrum in a quantum wire with small transverse dimensions.