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One-dimensional semirelativity for electrons in carbon nanotubes

Wlodek Zawadzki
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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 $u$= $10^8$cm/s replacing the light velocity. One-dimensional semirelativistic kinematics and dynamics of electrons in CNT is formulated. Two-band k.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.

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Wlodek Zawadzki. 2005-10-07. One-dimensional semirelativity for electrons in carbon nanotubes. https://doi.org/10.1103/physrevb.74.205439

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