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Transient Zitterbewegung of Electrons in Graphene and Carbon Nanotubes

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Narrow Gap Semiconductors 2007

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 119))

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Abstract

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.

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References

  1. Zawadzki, W.: ‘Zitterbewegung and its effects on electrons in semiconductors’ Phys. Rev. B 72, 085217, 2005

    Article  ADS  CAS  Google Scholar 

  2. Zawadzki, W. : ‘One-dimensional semirelativity for electrons in carbon nanotubes’, Phys. Rev. B 74, 205439, 2006

    Article  ADS  CAS  Google Scholar 

  3. Schliemann, J et al. ‘Zitterbewegung of electronic wave packets in III–V zincblende semiconductor quantum wells’, Phys. Rev. Lett. 94, 206801, 2005

    Article  PubMed  ADS  CAS  Google Scholar 

  4. McCann, E. and Fal’ko, V.I.: ‘Landau-level degeneracy and Quantum Hall Effect in a graphite bilayer’, Phys. Rev. Lett. 96, 086805, 2006

    Article  PubMed  ADS  CAS  Google Scholar 

  5. Slonczewski, J.C. and Weiss. P.R.: ‘Band structure of graphite’, Phys. Rev. 109, 272–280, 1958

    Article  ADS  CAS  Google Scholar 

  6. Ajiki, H. and Ando, T.: ’Magnetic properties of carbon nanotubes’, J. Phys. Soc. Jpn. 62, 2470–2480, 1993

    Article  ADS  CAS  Google Scholar 

  7. Rusin, T.M. and Zawadzki, W.: ‘Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes’, cond-mat/0702425, 2007

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Rusin, T.M., Zawadzki, W. (2008). Transient Zitterbewegung of Electrons in Graphene and Carbon Nanotubes. In: Murdin, B., Clowes, S. (eds) Narrow Gap Semiconductors 2007. Springer Proceedings in Physics, vol 119. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8425-6_28

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