We have proposed the Hamiltonian of a polaron bound to a donor impurit
y in semiconductor quantum wells (QWs) in the presence of an electric
field, The couplings of an electron with the confined bulk-like Longit
udinal optical (LO) phonons, half-space LO phonons and interface phono
ns are considered. In particular, the interaction of the impurity with
the various phonon modes is also included. We have calculated the ion
ization energy of a bound polaron in AlxlGa1-xlAs/GaAs/AlxtGa1-xtAs as
ymmetric and symmetric QWs. Results are obtained as a function of the
barrier height (or equivalently of Al concentration x), the well width
, the electric field intensities and the position of impurity in the Q
Ws. Our numerical calculations show clearly that the interaction betwe
en the impurity and the phonon field plays an important role in screen
ing the Coulomb interaction. It is shown that for a thin well (<12nm),
the cumulative effects of the electron-phonon coupling and the impuri
ty-phonon coupling can contribute appreciably to the donor ionization
energy and polarizability.