Discrete Nonlinear Breathing Modes in Carbon Nanotubes

Details Discrete Nonlinear Breathing Modes in Carbon Nanotubes Discrete Nonlinear Breathing Modes in Carbon Nanotubes

2007-05-30

arxiv.org/abs/0705.4482v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures

Scientific paper

We study large-amplitude oscillations of carbon nanotubes with chiralities $(m,0)$ and $(m,m)$ and predict the existence of localized nonlinear modes in the form of {\em discrete breathers}. In nanotubes with the index $(m,0)$ {\em three types} of localized modes can exist, namely longitudinal, radial, and twisting breathers; however only the twisting breathers, or {\em twistons}, are nonradiating nonlinear modes which exist in the frequency gaps of the linear spectrum. Geometry of carbon nanotubes with the index $(m,m)$ allows only the existence of broad radial breathers in a narrow spectral range.

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