A rigorous proof of non-existence of edge state in the semi-infinite armchair edged graphene
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❄️ cond-mat.mes-hall
keywords
edgestatesarmchairedgedgraphenesemi-infiniteanalyticallyconditions
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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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