POLARONIC STATES THAT INCORPORATE EFFECTS OF PHONON CONFINEMENT IN A RECTANGULAR QUANTUM-WELL WIRE

The electron self-energies due to the interaction of the electron with the LO-phonons that incorporate effects of phonon confinement in a rectangular quantum well wire have been calculated as a function of the size of the wires by the perturbative method in the framework of the effective mass approximation. The results show that in a very small wire the self-energy has a peak at the beginning and then increases gradually to the two-dimensional limit value as the wire expands in one direction while keeping fixed in the other direction. The peak values are at about the square cross sections. For larger wires, the self-energies increase monotonically without any peaks appearing and slowly approach to the two-dimensional limit values.