Transient Zitterbewegung of Electrons in Graphene and Carbon Nanotubes

  • Tomasz M. Rusin
  • Wlodek Zawadzki
Part of the Springer Proceedings in Physics book series (SPPHY, volume 119)


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.


Carbon Nanotubes Charge Carrier Wave Packet Monolayer Graphene Bilayer Graphene 
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  1. 1.
    Zawadzki, W.: ‘Zitterbewegung and its effects on electrons in semiconductors’ Phys. Rev. B 72, 085217, 2005CrossRefADSGoogle Scholar
  2. 2.
    Zawadzki, W. : ‘One-dimensional semirelativity for electrons in carbon nanotubes’, Phys. Rev. B 74, 205439, 2006CrossRefADSGoogle Scholar
  3. 3.
    Schliemann, J et al. ‘Zitterbewegung of electronic wave packets in III–V zincblende semiconductor quantum wells’, Phys. Rev. Lett. 94, 206801, 2005PubMedCrossRefADSGoogle Scholar
  4. 4.
    McCann, E. and Fal’ko, V.I.: ‘Landau-level degeneracy and Quantum Hall Effect in a graphite bilayer’, Phys. Rev. Lett. 96, 086805, 2006PubMedCrossRefADSGoogle Scholar
  5. 5.
    Slonczewski, J.C. and Weiss. P.R.: ‘Band structure of graphite’, Phys. Rev. 109, 272–280, 1958CrossRefADSGoogle Scholar
  6. 6.
    Ajiki, H. and Ando, T.: ’Magnetic properties of carbon nanotubes’, J. Phys. Soc. Jpn. 62, 2470–2480, 1993CrossRefADSGoogle Scholar
  7. 7.
    Rusin, T.M. and Zawadzki, W.: ‘Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes’, cond-mat/0702425, 2007Google Scholar

Copyright information

© Springer Science+Business Media B.V 2008

Authors and Affiliations

  • Tomasz M. Rusin
    • 1
  • Wlodek Zawadzki
    • 2
  1. 1.PTK Centertel Sp. z o.o.WarsawPoland
  2. 2.Institute of PhysicsPolish Academy of SciencesWarsawPoland

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