Method of successive separation and summing of multiplicative diagrams of mass operator for the multi-level quasiparticle interacting with polarization phonons
| Autor: | Tkach, M. V., Seti, Ju. O., Voitsekhivska, O. M., Gutiv, V. V. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Condens. Matter Phys., 2019, vol. 22, No. 3, 33703 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.5488/CMP.22.33703 |
| Popis: | The theory of renormalized energy spectrum of a multi-level quasiparticle interacting with polarization phonons at $T=0$ K is developed within the Feynman-Pines diagram technique in a new approach. It permits a successive separation of multiplicative diagrams from non-multiplicative ones for all orders of mass operator, and their partial summing as well. The obtained mass operator is presented as a sum of branched chain fractions, which effectively take into account the multi-phonon processes. For the two-level quasiparticle it is shown that just the interlevel (non-diagonal) interaction with phonons fundamentally changes the properties of the spectrum. In the vicinity of all threshold energies, the quasi-equidistant phonon satellite bands (i.e., groups of energy levels) are formed. They correspond to the complexes of bound states of a quasi-particle with many phonons. Comment: 15 pages, 3 figures |
| Databáze: | arXiv |
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