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Quantum Interference at the Twist Boundary in Graphene
Open accessAbstract
We explore the consequences of a rotation between graphene layers for the electronic spectrum. We derive the commensuration condition in real space and show that the interlayer electronic coupling is governed by an equivalent commensuration in reciprocal space. The larger the commensuration cell, the weaker the interlayer coupling, with exact decoupling for incommensurate rotations and in the theta-->0 limit. Furthermore, from first-principles calculations we determine that even for the smallest possible commensuration cell the decoupling is effectively perfect, and thus graphene layers will be seen to decouple for all rotation angles.
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Citations
Cites
Biased Bilayer Graphene: Semiconductor with a Gap Tunable by the Electric Field Effect
Castro, E. V., Novoselov, K. S., Morozov, S. V., Peres, N. M. R., dos Santos, J. M. B. L., Nilsson, J., Guinea, F., Geim, A. K., & Neto, A. H. C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.216802 · Cited by 2,033
Cited by
Moiré bands in twisted double-layer graphene
Bistritzer, R., & MacDonald, A. H. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1108174108 · Cited by 3,072
Atomic‐Layer Graphene as a Saturable Absorber for Ultrafast Pulsed Lasers
Bao, Q., Zhang, H., Wang, Y., Ni, Z., Yan, Y., Shen, Z. X., Loh, K. P., & Tang, D. Y. (2009) · Advanced Functional Materials · doi:10.1002/adfm.200901007 · Cited by 2,612
Localization of Dirac Electrons in Rotated Graphene Bilayers
Trambly de Laissardière, G., Mayou, D., & Magaud, L. (2010) · Nano Letters · doi:10.1021/nl902948m · Cited by 718
Kim, K., Coh, S., Tan, L. Z., Regan, W., Yuk, J. M., Chatterjee, E., Crommie, M. F., Cohen, M. L., Louie, S. G., & Zettl, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.246103 · Cited by 587
Optical absorption in twisted bilayer graphene
Moon, P., & Koshino, M. (2013) · Physical Review B · doi:10.1103/physrevb.87.205404 · Cited by 493
Metadata
- Authors
- Shallcross, S., Sharma, S., & Pankratov, O. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-08-01
- Volume
- 101
- Issue
- 5
- Pages
- 056803-056803
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2035478977
- Cited by
- 251
- References
- 1
- FWCI
- 5.56
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Shallcross, S., Sharma, S., & Pankratov, O. A. (2008). Quantum Interference at the Twist Boundary in Graphene. Physical Review Letters. https://doi.org/10.1103/physrevlett.101.056803
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