https://doi.org/10.1140/epjp/s13360-022-03283-5
Regular Article
Longitudinal weak and strong localized modes in single-wall carbon nanotube
Department of Physics, Indian Academy Degree College - Autonomous, Hennur Cross, Kalyan Nagar, 560043, Bangalore, Karnataka, India
Received:
20
June
2022
Accepted:
13
September
2022
Published online:
1
October
2022
We study the longitudinal weak and strong energy localization in an armchair single-wall carbon nanotube with a higher-order inter-atomic interaction potential. The nonlinear effective potential of single-wall carbon nanotube is obtained by Brenner’s many-body potential, and it is expanded up to the fourth order with the help of Taylor series. The single-wall carbon nanotube dynamics are found to be governed by the discrete nonlinear Schrödinger equation with the aid of rotating wave approximation. The short-time and long-time evolution of wave in the single-wall carbon nanotube is discussed by molecular dynamical simulation. We also analyze the weak and the strong energy localization in the single-wall carbon nanotube by tuning the system parameters. Using Newton–Raphson scheme, we further discuss the role of weak and strong inter-atomic interaction potential for the formation of discrete breather modes and examine how it supports the long-lived discrete breather modes in the single-wall carbon nanotube.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
