TY - JOUR
T1 - Flat edge modes of graphene and of Z2 topological insulator
AU - Imura, Ken Ichiro
AU - Mao, Shijun
AU - Yamakage, Ai
AU - Kuramoto, Yoshio
PY - 2011
Y1 - 2011
N2 - 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 Z2 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.
AB - 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 Z2 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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U2 - 10.1186/1556-276X-6-358
DO - 10.1186/1556-276X-6-358
M3 - Review article
C2 - 21711883
AN - SCOPUS:84856042746
SN - 1931-7573
VL - 6
SP - 1
EP - 6
JO - Nanoscale Research Letters
JF - Nanoscale Research Letters
M1 - 358
ER -