Zitterbewegung, chirality, and minimal conductivity in graphene

2005/12/31 by M. I. Katsnelson · 30 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Graphene research and applications #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1140/epjb/e2006-00203-1

published as Eur. Phys. J. B 51, 157-160 (2006) · final version; 4 pages, 1 eps figure

openalex publication_date 2006/05/01 · arxiv created 2006/06/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

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 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.

Citations

• Electric Field Effect in Atomically Thin Carbon Films

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