Flat edge modes of graphene and of Z(2 )topological insulator

A graphene nano-ribbon in the zigzag edge geometry exhibits a specific type of gapless edge modes with a partly flat band dispersion. We argue that the appearance of such edge modes are naturally understood by regarding graphene as the gapless limit of a Z(2 )topological insulator. To illustrate thi...

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Detalles Bibliográficos
Autores principales: Imura, Ken-Ichiro, Mao, Shijun, Yamakage, Ai, Kuramoto, Yoshio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer 2011
Materias:
Nano Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3211448/
https://www.ncbi.nlm.nih.gov/pubmed/21711883
http://dx.doi.org/10.1186/1556-276X-6-358
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author Imura, Ken-Ichiro
Mao, Shijun
Yamakage, Ai
Kuramoto, Yoshio
author_facet Imura, Ken-Ichiro
Mao, Shijun
Yamakage, Ai
Kuramoto, Yoshio
author_sort Imura, Ken-Ichiro
collection PubMed
description A graphene nano-ribbon in the zigzag edge geometry exhibits a specific type of gapless edge modes with a partly flat band dispersion. We argue that the appearance of such edge modes are naturally understood by regarding graphene as the gapless limit of a Z(2 )topological insulator. To illustrate this idea, we consider both Kane-Mele (graphene-based) and Bernevig-Hughes-Zhang models: the latter is proposed for HgTe/CdTe 2D quantum well. Much focus is on the role of valley degrees of freedom, especially, on how they are projected onto and determine the 1D edge spectrum in different edge geometries.
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spelling pubmed-32114482011-11-09 Flat edge modes of graphene and of Z(2 )topological insulator Imura, Ken-Ichiro Mao, Shijun Yamakage, Ai Kuramoto, Yoshio Nanoscale Res Lett Nano Review A graphene nano-ribbon in the zigzag edge geometry exhibits a specific type of gapless edge modes with a partly flat band dispersion. We argue that the appearance of such edge modes are naturally understood by regarding graphene as the gapless limit of a Z(2 )topological insulator. To illustrate this idea, we consider both Kane-Mele (graphene-based) and Bernevig-Hughes-Zhang models: the latter is proposed for HgTe/CdTe 2D quantum well. Much focus is on the role of valley degrees of freedom, especially, on how they are projected onto and determine the 1D edge spectrum in different edge geometries. Springer 2011-04-21 /pmc/articles/PMC3211448/ /pubmed/21711883 http://dx.doi.org/10.1186/1556-276X-6-358 Text en Copyright ©2011 Imura et al; licensee Springer. http://creativecommons.org/licenses/by/2.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Nano Review
Imura, Ken-Ichiro
Mao, Shijun
Yamakage, Ai
Kuramoto, Yoshio
Flat edge modes of graphene and of Z(2 )topological insulator
title Flat edge modes of graphene and of Z(2 )topological insulator
title_full Flat edge modes of graphene and of Z(2 )topological insulator
title_fullStr Flat edge modes of graphene and of Z(2 )topological insulator
title_full_unstemmed Flat edge modes of graphene and of Z(2 )topological insulator
title_short Flat edge modes of graphene and of Z(2 )topological insulator
title_sort flat edge modes of graphene and of z(2 )topological insulator
topic Nano Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3211448/
https://www.ncbi.nlm.nih.gov/pubmed/21711883
http://dx.doi.org/10.1186/1556-276X-6-358
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