Properties and temperature evolution of the spectrum of localized quasi-particles interacting with polarization phonons in two models

Abstract

Using the Feynman-Pines diagram technique, the energy spectrum of localized quasi-particles interacting with polarization phonons is calculated and analyzed in the wide range of energies at the finite temperature of the system. It is established that the general model of the system, besides the bound states known from the simplified model with an additional condition for the operator of quasi-particles number, contains the new bound states even for the systems with weak coupling. The contribution of multi-phonon processes into the formation of renormalized spectrum of the system is analyzed. The reasons of the appearance, behaviour and disappearance of separate pairs of bound states depending on the coupling constant and temperature are revealed.

arXiv comment13 pages, 4 figures

References in corpus (9)

• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Polaron Problem by Diagrammatic Quantum Monte Carlo
• Green's function of a dressed particle
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass
• Trapping of three-dimensional Holstein polarons by various impurities
• On the nature of the optical conductivity of polaron
• Renormalized energy of ground and first excited state of Fröhlich polaron in the range of weak coupling
• Quasi-stationary states of electrons interacting with strong electromagnetic field in two-barrier resonance tunnel nano-structure

Cited by in corpus (3)

• Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature
• Generalized method of Feynman-Pines diagram technique in the theory of energy spectrum of two-level quasiparticle renormalized due to multi-phonon processes at cryogenic temperature
• Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at $T=0$ K