Valley-Hall kink and edge states in multilayer graphene

Jeil Jung, Fan Zhang, Zhenhua Qiao, Allan H. MacDonald

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140 Scopus citations


We report on a theoretical study of one-dimensional (1D) states localized at few-layer graphene system ribbon edges and at interfaces between few-layer graphene systems with different valley-Hall conductivities. These 1D states are topologically protected when valley mixing is neglected. We address the influence on their properties of stacking arrangement, interface structure, and external electric field perpendicular to the layers. We find that 1D states are generally absent at multilayer ribbon armchair direction edges, but present irrespective of crystallographic orientation at any internal valley-Hall interface of an ABC-stacked multilayer.

Original languageEnglish
Article number075418
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
StatePublished - 5 Aug 2011


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