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 2e2/3h and a sub-Poissonian Fano factor of 2−33/π≃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.
@article{arxiv.1111.4862,
title = {Exact results for intrinsic electronic transport in graphene},
author = {Shijie Hu and Wei Du and Guiping Zhang and Miao Gao and Zhong-Yi Lu and Xiaoqun Wang},
journal= {arXiv preprint arXiv:1111.4862},
year = {2015}
}