Zitterbewegung, chirality, and minimal conductivity in graphene

Details Zitterbewegung, chirality, and minimal conductivity in graphene Zitterbewegung, chirality, and minimal conductivity in graphene

2005-12-15

arxiv.org/abs/cond-mat/0512337v3

Eur. Phys. J. B 51, 157-160 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

final version; 4 pages, 1 eps figure

Scientific paper

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 $e^{2}/h$ 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.

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