Exact results for intrinsic electronic transport in graphene

Details Exact results for intrinsic electronic transport in graphene Exact results for intrinsic electronic transport in graphene

2011-11-21

arxiv.org/abs/1111.4862v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages,4figures

Scientific paper

We present exact results for the electronic transport properties of graphene sheets connected to two metallic electrodes. Our results, obtained by transfer-matrix methods, are valid for all sheet widths and lengths. In the limit of large width-to-length ratio relevant to recent experiments, we find a Dirac-point conductivity of $2e^2/\sqrt{3}h$ and a sub-Poissonian Fano factor of $2 - 3\sqrt{3}/\pi \simeq 0.346$ for armchair graphene; for the zigzag geometry these are respectively 0 and 1. Our results reflect essential effects from both the topology of graphene and the electronic structure of the leads, giving a complete microscopic understanding of the unique intrinsic transport in graphene.

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