Abstract
The sp3 tight-binding model and the gradient approximation are, respectively, used to calculate electronic states and the loss function of finite carbon nanotubes. The study results show that the loss spectra of finite carbon nanotubes are strongly dependent on the nanotube geometric structure (length, radius, and chiral angle) and the magnetic flux. The prominent peaks at ω<4γ0 (γ0 is the nearest-neighbor overlap integral) mainly result from the π states, while the peaks at ω>4γ0 result from the π+σ states. For ω<4γ0, most loss spectra contain four peaks in the different finite carbon nanotubes (CNTs) systems. The peak energy versus length graph is a monotonous curve for zigzag nanotubes, while the one for armchair nanotubes is oscillatory. Prominent peak energies are almost independent of length for sufficiently long CNTs. These results illustrate the quasi-zero-dimensional character. Moreover, finite armchair CNTs reveal dominating π and π+σ plasmon peaks at ∼2γ0≈6 eV and ∼6.5γ0≈18 eV, respectively. Yet, for finite zigzag CNTs plasmon peaks exist at ∼2.15γ0 and ∼6.6γ0, due to special localized states at the outermost zigzag positions. The predicted loss spectra and the plasmon frequencies could be verified by electron energy loss spectra.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.