Uniform current in graphene strip with zigzag edges
Mesoscale and Nanoscale Physics
2015-05-13 v2
Abstract
Graphene exhibits zero-gap massless-Dirac fermion and zero density of states at E = 0. These particles form localized states called edge states on finite width strip with zigzag edges at E = 0. Naively thinking, one may expect that current is also concentrated at the edge, but Zarbo and Nikolic numerically obtained a result that the current density shows maximum at the center of the strip. We derive a rigorous relation for the current density, and clarify the reason why the current density of edge state has a maximum at the center.
Cite
@article{arxiv.0903.1483,
title = {Uniform current in graphene strip with zigzag edges},
author = {Shuhei Nakakura and Yuki Nagai and Daijiro Yoshioka},
journal= {arXiv preprint arXiv:0903.1483},
year = {2015}
}
Comments
5 pages, 3 figures; added references and corrected typos, to be published in J. Phys. Soc. Jpn. Vol.78 No.6