2017
DOI: 10.1038/s41598-017-08954-3
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Helical edge states and edge-state transport in strained armchair graphene nanoribbons

Abstract: A helical type edge state, which is generally supported only on graphene with zigzag boundaries, is found to also appear in armchair graphene nanoribbons in the presence of intrinsic spin-orbit coupling and a suitable strain. At a critical strain, there appears a quantum phase transition from a quantum spin Hall state to a trivial insulator state. Further investigation shows that the armchair graphene nanoribbons with intrinsic spin-orbit coupling, Rashba spin-orbit coupling, effective exchange fields and stra… Show more

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Cited by 9 publications
(3 citation statements)
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“…However, strain is found to be a substantial parameter to tune the properties of topological insulators [26,27,[35][36][37][38][39][40] and to induce helical edge states in armchair graphene nanoribbon [42]. Contrary to the chiral edge modes, occurring in systems with broken TRS, the helical edge states appear in systems where TRS is preserved, as in QSH effect [13].…”
Section: Introductionmentioning
confidence: 99%
“…However, strain is found to be a substantial parameter to tune the properties of topological insulators [26,27,[35][36][37][38][39][40] and to induce helical edge states in armchair graphene nanoribbon [42]. Contrary to the chiral edge modes, occurring in systems with broken TRS, the helical edge states appear in systems where TRS is preserved, as in QSH effect [13].…”
Section: Introductionmentioning
confidence: 99%
“…Here the pseudogauge potential is induced by the uniaxial strain. As a corollary, the pseudogauge potential is a finite and constant, which is defined as As ( r ) = As ( x ) = tβε (1 + σ ) 33 , and σ = 0.165 is the Poisson’s ratio of graphite, t is the nearest-neighbour hopping parameter, and ε is the tensile strain. The constant β = ∂ lnt /∂ lnδ , where δ is the distance between nearest carbon atoms.…”
Section: Introductionmentioning
confidence: 99%
“…. For the future we will also continue to study graphene devices and nanostructures with the same purpose, since helical states were theoretically predicted [167] [168] and QSHE [169] and magnetic edge states [170] were recently observed in graphene devices.…”
Section: Discussionmentioning
confidence: 97%