The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Edge States in Graphene: From Gapped Flat-Band to Gapless Chiral Modes
Open accessAbstract
We study edge states in graphene systems where a bulk energy gap is opened by inversion symmetry breaking. We find that the edge bands dispersion can be controlled by potentials applied on the boundary with unit cell length scale. Under certain boundary potentials, gapless edge states with valley-dependent velocity are found, exactly analogous to the spin-dependent gapless chiral edge states in quantum spin Hall systems. The connection of the edge states to bulk topological properties is revealed.
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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
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
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
The Universe in a Helium Droplet
Volovik, G. E. (2009) · doi:10.1093/acprof:oso/9780199564842.001.0001 · Cited by 2,632
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Chern number and edge states in the integer quantum Hall effect
Hatsugai, Y. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3697 · Cited by 1,499
Electronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445
Helical Liquid and the Edge of Quantum Spin Hall Systems
Wu, C., Bernevig, B. A., & Zhang, S.-C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.106401 · Cited by 759
Cited by
Topological valley transport at bilayer graphene domain walls
Ju, L., Shi, Z., Nair, N., Lv, Y., Jin, C., Velasco, J., Ojeda-Aristizabal, C., Bechtel, H. A., Martin, M. C., Zettl, A., et al. (2015) · Nature · doi:10.1038/nature14364 · Cited by 680
Two-dimensional surface state in the quantum limit of a topological insulator
Analytis, J. G., McDonald, R. D., Riggs, S. C., Chu, J.-H., Boebinger, G. S., & Fisher, I. R. (2010) · Nature Physics · doi:10.1038/nphys1861 · Cited by 595
Topologically protected refraction of robust kink states in valley photonic crystals
Gao, F., Xue, H., Yang, Z., Lai, K., Yu, Y., Lin, X., Chong, Y., Shvets, G., & Zhang, B. (2018) · Nature Physics · doi:10.1038/nphys4304 · Cited by 576
Direct observation of valley-polarized topological edge states in designer surface plasmon crystals
Wu, X., Meng, Y., Tian, J., Huang, Y., Xiang, H., Han, D., & Wen, W. (2017) · Nature Communications · doi:10.1038/s41467-017-01515-2 · Cited by 449
Observation of unconventional edge states in ‘photonic graphene’
Plotnik, Y., Rechtsman, M. C., Song, D., Heinrich, M., Zeuner, J. M., Nolte, S., Lumer, Y., Malkova, N., Xu, J., Szameit, A., et al. (2014) · Nature Materials · doi:10.1038/nmat3783 · Cited by 389
Metadata
- Authors
- Yao, W., Yang, S. A., & Niu, Q.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-03-02
- Volume
- 102
- Issue
- 9
- Pages
- 096801-096801
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035366279
- Cited by
- 409
- References
- 10
- FWCI
- 9.11
- Type
- journal article
- Language
- en
- Open access
- green
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- Yao, W., Yang, S. A., & Niu, Q. (2009). Edge States in Graphene: From Gapped Flat-Band to Gapless Chiral Modes. Physical Review Letters. https://doi.org/10.1103/physrevlett.102.096801
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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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