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

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

2011-02-26

arxiv.org/abs/1102.5417v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 papers, 1 figures

Scientific paper

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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