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Renormalized Spectrum of Three-Level Localized Quasiparticle Interacting with Polarization Phonons at Cryogenic Temperature

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Abstract

Based on the generalized method of Feynman–Pines diagram technique, a new method of calculation of the mass operator in the Fourier image of Green’s function is proposed for the system of a three-level localized quasiparticle interacting with polarization phonons at \(T=0\,\hbox {K}\). The revealed main class of diagrams gives the opportunity to write the renormalized mass operator in a form of continuous branch chain fraction with typical links. Such presentation allows effective accounting of multi-phonon processes. It is shown that the renormalized energy spectrum contains the complexes of bound-to-phonon states of the quasiparticle. These complexes essentially differ for the resonant and non-resonant systems.

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Acknowledgements

Funding was provided by Ministry of Education and Science of Ukraine (Grant No. 0117U001151), and State Fund for Fundamental Research of Ukraine (Grant No. \(\Phi \)83/48117).

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Authors and Affiliations

  1. Yuriy Fedkovych Chernivtsi National University, 2 Kotsyubinsky Str., Chernivtsi, 58012, Ukraine

    Mykola Tkach, Julia Seti, Olesya Pytiuk & Oxana Voitsekhivska

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  1. Mykola Tkach
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  2. Julia Seti
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  3. Olesya Pytiuk
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  4. Oxana Voitsekhivska
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Correspondence to Mykola Tkach.

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Tkach, M., Seti, J., Pytiuk, O. et al. Renormalized Spectrum of Three-Level Localized Quasiparticle Interacting with Polarization Phonons at Cryogenic Temperature. J Low Temp Phys 195, 26–36 (2019). https://doi.org/10.1007/s10909-018-02111-4

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  • DOI: https://doi.org/10.1007/s10909-018-02111-4

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