2009
DOI: 10.1103/physrevb.80.155454
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Analytical study of edge states in a semi-infinite graphene nanoribbon

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Cited by 25 publications
(26 citation statements)
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“…In the past decade, the remarkable conductivity, strength and other exotic electronic properties of graphene have made it a promising candidate for stretchable transparent electrode [1], ballistic transistor [2], proposed nanospaser [3], platform for exploring gas separation properties [4], metamaterials [5] and other interesting physics [6,7]. While graphene is only a single layer with a potential to revolutionize electronics, it still has one critical limitation, i.e., it has no band gap.…”
Section: Introductionmentioning
confidence: 99%
“…In the past decade, the remarkable conductivity, strength and other exotic electronic properties of graphene have made it a promising candidate for stretchable transparent electrode [1], ballistic transistor [2], proposed nanospaser [3], platform for exploring gas separation properties [4], metamaterials [5] and other interesting physics [6,7]. While graphene is only a single layer with a potential to revolutionize electronics, it still has one critical limitation, i.e., it has no band gap.…”
Section: Introductionmentioning
confidence: 99%
“…Here, g s/d are solved by sticking out a semi-infinite one dimensional double-atom chain from semi-infinite AGNR in the Green’s function space [23]. The Green’s function coefficients extracted by derivation, , and , are the on-site energy, the coupling between the two atoms in each primitive cell, and the coupling between the neighboring two primitive cells of the chain, respectively.…”
Section: Modelmentioning
confidence: 99%
“…In this work, we would like to analytically solve them by projecting the semi-infinite AGNR in the Green function space into a semi-infinite one-dimensional double-atom chain [43]. By derivation, we get the coefficients of the Green function, i.e., [Wo]=(ωεc)I(N)t02(ωεc)[(ωεc)2t02]1[Ξ], [Wi]=t03(ωεc)[(ωεc)2t02]1[Ξ], and [ W e ] =  t 0 I  ( N ) are the onsite energy, the coupling between the two atoms in each primitive cell, and the coupling between the neighboring two primitive cells of the chain, respectively.…”
Section: Model and Hamiltonianmentioning
confidence: 99%