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Zitterbewegung, chirality, and minimal conductivity in graphene

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  • M. I. Katsnelson

Abstract

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of e 2 /h in the limit of zero temperature and zero charge carrier density is one of the striking features of this system. Here we analyze this peculiarity based on the Kubo and Landauer formulas. The appearance of a finite conductivity without scattering is shown to be a characteristic property of Dirac chiral fermions in two dimensions. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • M. I. Katsnelson, 2006. "Zitterbewegung, chirality, and minimal conductivity in graphene," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 51(2), pages 157-160, May.
    • Handle: RePEc:spr:eurphb:v:51:y:2006:i:2:p:157-160
    DOI: 10.1140/epjb/e2006-00203-1
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