Polaron and form effects on the polarizabilities of shallow donors in quantum well wires

Polarizability and binding energy values are estimated fora shallow donor confined to move in a quantum well wire with a rectangular and square cross-section. We present our results for the polarizability as a function of the size of the wire. The electron-longitudinal optical (LO) phonon interaction is taken into account using the adiabatic approximation. It is found that the polaronic effects decrease significantly the polarizability and increase with increasing wire size.