Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes

Details Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes

2007-02-19

arxiv.org/abs/cond-mat/0702425v2

Phys. Rev. B \bf 76, 195439 (2007).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures, augmented version

Scientific paper

10.1103/PhysRevB.76.195439

Observable effects due to trembling motion (Zitterbewegung, ZB) of charge carriers in bilayer graphene, monolayer graphene and carbon nanotubes are calculated. It is shown that, when the charge carriers are prepared in the form of gaussian wave packets, the ZB has a transient character with the decay time of femtoseconds in graphene and picoseconds in nanotubes. Analytical results for bilayer graphene allow us to investigate phenomena which accompany the trembling motion. In particular, it is shown that the transient character of ZB in graphene is due to the fact that wave subpackets related to positive and negative electron energies move in opposite directions, so their overlap diminishes with time. This behavior is analogous to that of the wave packets representing relativistic electrons in a vacuum.

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