Energy gaps in graphene nanoribbons.
By Y. Son, Marvin L. Cohen, Steven G. Louie. Physical Review Letters, 2006
4,180 citations recorded by the source corpus.
Based on a first-principles approach, we present scaling rules for the band gaps of graphene nanoribbons (GNRs) as a function of their widths. The GNRs considered have either armchair or zigzag shaped edges on both sides with hydrogen passivation. Both varieties of ribbons are shown to have band gaps. This differs from the results of simple tight-binding calculations or solutions of the Dirac's equation based on them. Our ab initio calculations show that the origin of energy gaps for GNRs with armchair shaped edges arises from both quantum confinement and the crucial effect of the edges. For GNRs with zigzag shaped edges, gaps appear because of a staggered sublattice potential on the hexagonal lattice due to edge magnetization. The rich gap structure for ribbons with armchair shaped edges is further obtained analytically including edge effects. These results reproduce our ab initio calculation results very well.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/b2ea5b492f4b13604258a968407854b474da82c1
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Emergence of magnetism in graphene materials and nanostructures (2010, background): “The pioneering idea was introduced by Son, Cohen and Louie, who have predicted that external electric fields induce half-metallicity in zigzag graphene nanoribbons (Son et al., 2006b).”
- Strain effects in graphene and graphene nanoribbons: The underlying mechanism (2010, background): “, NA = 3p, 3p+1, or 3p+2, where p is a positive integer [3, 44].”
- Prediction of very large values of magnetoresistance in a graphene nanoribbon device. (2008, neutral): “It has been shown that ferromagnetic nanoribbons are metallic, but antiferromagnetic nanoribbons are semiconductin”
- Simulation of Graphene Nanoribbon Field-Effect Transistors (2007, methodology): “Edge states have been considered at the lateral ends of the nanoribbon using the model proposed in [7].”