paper

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

arXiv:1102.5417 · doi:10.1016/j.physb.2011.12.009

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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