Theory of Triple Magnetopolarons in Quantum-Dimensional Nanostructures

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A theory of triple
magnetopolarons in an isolated quantum well in a strong magnetic field was
developed. We study the behavior of the magnetooptical absorption peaks
corresponding to the transitions of an electron at the Landau level with
quantum numbers *n* ≥ 2. For *n* = 2 at the point of equality of
cyclotron frequency and the frequency of optical phonon (LO), there is a cross of three terms of the
electron-phonon system (the electron at the Landau level *n* = 2, the electron at *n* = 1, and the optical phonon and electron at *n* = 0 and two phonons), considered as a function of the cyclotron frequency.
Interaction with phonons takes off the degeneracy of the terms and leads to
three disjoint branches of the electron-phonon spectrum. The theory predicts
that in the resonant magnetic field, the peak of magnetooptical absorption splits into three peaks, the
intensity and position of which are dependent in a complex way on the magnitude of the magnetic field and the
constant of the electron-phonon coupling.

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