Flat edge modes of graphene and of Z 2 topological insulator

Ken Ichiro Imura, Shijun Mao, Ai Yamakage, Yoshio Kuramoto

Research output: Contribution to journalReview article

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalNanoscale Research Letters
Volume6
DOIs
Publication statusPublished - 2011 Dec 1

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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