On the basis of a specially created theoretical model, calculations of the frequency dependences of the glow intensity of the two-component exciton-activated semiconductor quantum dot (QD) - plasmon nanoparticle (NP) system in a constant magnetic field were made. In contrast to the previous models, we went beyond the approximation of the dipole polarizability of a spherical nanoparticle. When calculating the induced dipole moment of the NP, the inhomogeneous nature of the field created by the exciton-containing QD was taken into account. It is shown that with a change in the induction of the external magnetic field, the transformation of the exciton luminescence spectra of such a system is observed as a result of the exciton-plasmon interaction between the cluster particles and the magnetization of the NP electron plasma. The competition of radiation and non-radiative decay channels of the excited state of a two-particle complex is accounted for. It is shown that in the spectra of the rate of non-radiative energy transfer from QD to NP, as well as spontaneous emission of the nanocomplex, in addition to dipole bands, bands of multipole transitions of higher orders are formed, splitting into doublet components in the magnetic field.
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