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

Within the transfer matrix method, we study the conditions for the existence of the edge states in the semi-infinite armchair edged graphene. We discuss zero-energy and non-zero-energy edge states, respectively, and show the non-existence of the edge states in the model analytically and rigorously.

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Bibliographische Detailangaben
Veröffentlicht in:	Physica. B, Condensed matter Condensed matter, 2012-02, Vol.407 (4), p.724-728
Hauptverfasser:	Zhao, Yuanyuan, Li, Wei, Tao, Ruibao
Format:	Artikel
Sprache:	eng
Schlagworte:	Armchair graphene Chairs Condensed matter Condensed matter: structure, mechanical and thermal properties Exact sciences and technology Graphene Mathematical analysis Nanoscale materials: clusters, nanoparticles, nanotubes, and nanocrystals Non-zero-energy edge states Physics Proving Structure of solids and liquids crystallography Zero-energy
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Beschreibung
Zusammenfassung:	Within the transfer matrix method, we study the conditions for the existence of the edge states in the semi-infinite armchair edged graphene. We discuss zero-energy and non-zero-energy edge states, respectively, and show the non-existence of the edge states in the model analytically and rigorously.
ISSN:	0921-4526 1873-2135
DOI:	10.1016/j.physb.2011.12.009