The polaron self-energy due to phonon confinement in quantum boxes and wires

Abstract

The polaron self-energy due to phonon confinement in a quantum box or wire has been calculated as a function of the size of the quantum boxes or wires by the perturbative method using the framework of the effective mass approximation. It is found that the effects of phonon confinement are dominant in small boxes and wires. The results also show that it is a function of both width and thickness of the wire rather than simply the cross-sectional area.