Condensed Matter Physics, 2021, vol. 24, No. 1, 13705
DOI:10.5488/CMP.24.13705
arXiv:2103.15556
Title:
Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at T=0 K
Author(s):
 
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M.V. Tkach
(Yuriy Fedkovych Chernivtsi National University, 2 Kotsyubinsky Str., 58012 Chernivtsi, Ukraine),
 
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Ju.O. Seti
(Yuriy Fedkovych Chernivtsi National University, 2 Kotsyubinsky Str., 58012 Chernivtsi, Ukraine),
 
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O.M. Voitsekhivska
(Yuriy Fedkovych Chernivtsi National University, 2 Kotsyubinsky Str., 58012 Chernivtsi, Ukraine),
 
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V.V. Hutiv
(Yuriy Fedkovych Chernivtsi National University, 2 Kotsyubinsky Str., 58012 Chernivtsi, Ukraine)
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Within unitary transformed Hamiltonian of Fröhlich type, using the Green's functions method, exact renormalized
energy spectrum of quasiparticle strongly interacting with two-mode polarization phonons is obtained at T=0 K in a model of the
system with limited number of its initial states. Exact analytical expressions for the average number of phonons in ground
state and in all satellite states of the system are presented. Their dependences on a magnitude of interaction between
quasiparticle and both phonon modes are analyzed.
Key words:
quasiparticle, mass operator, phonon, spectrum
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