Low Temperature Physics: 47, 1084 (2021); https://doi.org/10.1063/10.0007084
Fizika Nizkikh Temperatur: Volume 47, Number 12 (December 2021), p. 1186-1190    ( to contents , go back )

Coupling-managed criticality in nonlinear dynamics of an integrable exciton-phonon system on a one-dimensional lattice

Oleksiy O. Vakhnenko

Department for Theory of Nonlinear Processes in Condensed Matter, Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv 03143, Ukraine
E-mail: vakhnenko@bitp.kiev.ua
pos Анотація:648

Received April 26, 2021, published online October 25, 2021


A one-dimensional nonlinear dynamical system of coupled intra-site excitations and lattice vibrations is studied. The system as a whole is shown to be integrable in the Lax sense and it admits the exact four-component analytical solution demonstrating the pronounced mutual influence between the interacting subsystems in the form of essentially nonlinear superposition of two principally distinct types of traveling waves. The inter-play between the coupling strength and the parameter of localization causes the criticality of system’s dynamics manifested as the dipole-monopole transition in the spatial distribution of intra-site excitations.

Key words: exciton-phonon coupling, nonlinear integrable system, one-dimensional lattice, nonlinear wave packet, dipole-monopole transition.

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