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Dark Soliton Excitations in Single Wall Carbon Nanotubes

2001/10/04 by Zheng-Mao Sheng, Sheng, Zheng-Mao, Guoxiang Huang +1
Materials Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Carbon Nanotubes in Composites #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0110084

11pages, no figures

arxiv created 2001/10/04 · openalex publication_date 2001/10/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dark soliton excitations are shown to exist in single wall carbon nanotubes (SWCNTs). At first, the nonlinear effective interatomic potential and the difference equation for longitudinal lattice displacement are obtained for the SWCNTs by expanding Brenner's many-body potential in a Taylor series up to fourth-order terms. Then using a multi-scale method, for short wavelength lattice excitations the equation of motion of lattice is reduced to the cubic nonlinear Schrodinger equation. Finally, the dark soliton solutions and relevant excitations in the SWCNTs with subsonic velocity are discussed.

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