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arXiv · 1102.5417

A rigorous proof of non-existence of edge state in the semi-infinite armchair edged graphene

Yuanyuan Zhao·Wei Li·Ruibao Tao
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Abstract

With the help of transfer matrix method, the conditions for the existence of the edge states in the semi-infinite armchair edged graphene is given. We discuss zero-energy and non-zero-energy edge states separately, and show the nonexistence of the edge states in the model analytically and rigorously.

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Yuanyuan Zhao, Wei Li, Ruibao Tao. 2011-02-26. A rigorous proof of non-existence of edge state in the semi-infinite armchair edged graphene. https://doi.org/10.1016/j.physb.2011.12.009

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