We have proposed a new modified Hamiltonian for a polaron bound to a d
onor impurity in semiconductor quantum-well structures (QWs) in the pr
esence of an arbitrary magnetic field, in which the coupling of an ele
ctron with confined bulk-like LO phonons, half-space LO phonons and in
terface phonons is considered. In particular, the interaction of the i
mpurity with the various phonon modes is also included in a QW for the
first time. We have calculated the ionization energy of a bound polar
on in Al-x, Ga1-x, As/GaAs/Al-x, Ga1-x, As asymmetric and symmetric QW
s. Results have been obtained as a function of the barrier height (or
equivalently of Al concentration x), the well width, the magnetic fiel
d intensities and the position coordinates of impurity in the QWs. Our
numerical calculations clearly show that the interaction between the
impurity and the phonon field plays an important role in screening the
Coulomb interaction and consequently changes the binding energy of a
bound polaron by a considerable amount. On comparison with the experim
ental measurements, an excellent agreement is found. (C) 1997 Academic
Press Limited.