Charged donor in a quantum well subjected to electric and strong magnetic fields

An analytical approach to the problem of a negatively charged donor in a quantum well (QW) in the presence of parallel electric and strong magnetic external fields both directed perpendicular to the heteroplanes is developed. The dependencies of the binding energy on the field strengths, the width of the well and the position of the impurity within the well are derived in explicit form. The effect of the inversion of the electric field is investigated. It is shown that a single QW containing a charged donor subjected to parallel electric and strong magnetic fields can be treated as a resonant structure. Using the parameters associated with GaAs QW estimates of the inversion shift of the binding energy and the frequency of the emitted resonant radiation are obtained.