Abstract
It is shown that the band structure of single-wall semiconducting carbon nanotubes (CNT) is analogous to relativistic description of electrons in vacuum, with the maximum velocity $u={10}^{8}\phantom{\rule{0.3em}{0ex}}\mathrm{cm}∕\mathrm{s}$ replacing the light velocity. One-dimensional semirelativistic kinematics and dynamics of electrons in CNT is formulated. Two-band $\mathbf{k}∙\mathbf{p}$ Hamiltonian is employed to demonstrate that electrons in CNT experience a zitterbewegung (trembling motion) in absence of external fields. This zitterbewegung should be observable much more easily in CNT than its analogue for free relativistic electrons in vacuum. It is argued that in the lowest subband of metallic CNT, where the rest effective mass of electrons vanishes, the zitterbewegung should not occur.
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.