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arXiv · 0903.1483

Uniform current in graphene strip with zigzag edges

Shuhei Nakakura·Yuki Nagai·Daijiro Yoshioka
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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.

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Shuhei Nakakura, Yuki Nagai, Daijiro Yoshioka. 2009-05-07. Uniform current in graphene strip with zigzag edges. https://doi.org/10.1143/jpsj.78.065003

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