The European Physical Journal B - Condensed Matter and Complex Systems

, Volume 51, Issue 2, pp 157–160

Zitterbewegung, chirality, and minimal conductivity in graphene

Rapid Note

DOI: 10.1140/epjb/e2006-00203-1

Cite this article as:
Katsnelson, M. Eur. Phys. J. B (2006) 51: 157. doi:10.1140/epjb/e2006-00203-1


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 e2/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.


73.43.Cd Theory and modeling81.05.Uw Carbon, diamond, graphite03.65.Pm Relativistic wave equations

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute for Molecules and Materials, Radboud University NijmegenNijmegenThe Netherlands