The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Energy Gaps in Graphene Nanoribbons
Open accessAbstract
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.
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Berger, C., Song, Z., Li, T., Li, X., Ogbazghi, A. Y., Feng, R., Dai, Z., Marchenkov, A. N., Conrad, E. H., First, P. N., et al. (2004) · The Journal of Physical Chemistry B · doi:10.1021/jp040650f · Cited by 3,548
Cited by
Geim, A. K., & Novoselov, K. S. (2007) · Nature Materials · doi:10.1038/nmat1849 · Cited by 39,979
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“More detailedab initio al ulations of the spe tra of graphene nanorib-bons show that intera tion e e ts an lead to ele troni gaps (Son et al., 2006b) and magneti states lose to thegraphene edges, independent of their nature (Son et al.,2006a; Yang et al., 2007a,b).”
BackgroundWang, H., Maiyalagan, T., & Wang, X. (2012) · ACS Catalysis · doi:10.1021/cs200652y · Cited by 3,618
Narrow graphene nanoribbons from carbon nanotubes
Jiao, L., Zhang, L., Wang, X., Diankov, G., & Dai, H. (2009) · Nature · doi:10.1038/nature07919 · Cited by 2,441
Substrate-induced bandgap opening in epitaxial graphene
Zhou, S. Y., Gweon, G.-H., Fedorov, A. V., First, P. N., de Heer, W. A., Lee, D.-H., Guinea, F., Castro Neto, A. H., & Lanzara, A. (2007) · Nature Materials · doi:10.1038/nmat2003 · Cited by 2,381
Metadata
- Authors
- Son, Y.-W., Cohen, M. L., & Louie, S. G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-11-22
- Volume
- 97
- Issue
- 21
- Pages
- 216803-216803
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1983208835
- Cited by
- 5,080
- References
- 4
- FWCI
- 95.71
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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