Energy Spectrum of the System of Localized Two-level Quasi-particles Interacting with Polarization Phonons at Cryogenic Temperatures

Authors M.V. Tkach , O.Yu. Pytiuk, Ju.O. Seti , O.M. Voitsekhivska

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

Issue Volume 10, Year 2018, Number 1
Dates Received 15 November 2017, revised manuscript received 04 January 2018 , published online 24 February 2018
Citation M.V. Tkach, O.Yu. Pytiuk, Ju.O. Seti, O.M. Voitsekhivska, J. Nano- Electron. Phys. 10 No 1, 01024 (2018)
DOI 10.21272/jnep.10(1).01024
PACS Number(s) 71.38. – k, 63.20.kd,, 72.10.Di
Keywords Green’s function, Spectrum (13) , Quasi-particle, Phonon (9) .

Using the Feynman-Pines diagram technique, the spectrum of two-level localized quasi-particles renormalized due to the interaction with polarization phonons at cryogenic temperatures is calculated and analyzed. It is shown that changing distance between two starting states of quasiparticle, the hybrid states, which have the complicated energy spectrum, appear in the system. It contains two series of levels caused by the interaction with phonons. It is established that in the systems where the difference between the energies of starting states of quasiparticle is resonating with the multiple numbers of phonon energies, in their spectra there are observed the anti-crossings between the neighbor hybrid and main high-energy states.

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