Abstract
The new method of calculation of a mass operator of Fourier image of Green’s function, based on the generalized method of Feynman–Pines diagram technique for the multi-level systems, is proposed for the three-level localized quasiparticle interacting with phonons at Т = 0 К. The main classes of multiplicative diagrams separated in the proposed approach made it possible to renormalize the mass operator and present it as a sum of continuous branch chain fractions with typical links. It is shown that the renormalized spectrum of the system contains the complexes of bound-to-phonon satellite states of quasiparticle. In resonant structures, like extractors in quantum cascade detectors, such complexes create an infinite number of dense groups of equidistant energy levels.
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Тkаch, М., Seti, J., Pytiuk, O. et al. Spectrum of localized three-level quasiparticle resonantly interacting with polarization phonons at cryogenic temperature. Appl Nanosci 10, 2581–2591 (2020). https://doi.org/10.1007/s13204-019-01002-8
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DOI: https://doi.org/10.1007/s13204-019-01002-8