Impurity magneto-optical absorption with the participation of resonance states of D$^−_2$ centers in quantum wells

The dependence of the average binding energy of the resonance $g$-state of a D$^−_2$ center on the induction of an external magnetic field in a quantum well with a parabolic confining potential is studied using the zero-range potential method. It has been shown that with an increasing exchange interaction, the character of the dependence of the average binding energy of the resonance $g$-state of the D$^−_2$ center on the induction of the external magnetic field changes. It has been assumed that in $GaAs/AlGaAs$ quantum wells alloyed with small Si donors, resonance D$^−_2$ states can exist under conditions of exchange interaction. It has been found that in spectra of impurity magneto-optical absorption in multiwall quantum structures, exchange interaction manifests itself as oscillations of interference origin.