Abstract
Bilayer graphene has been a subject of intense study in recent years. The interlayer registry between the layers can have dramatic effects on the electronic properties: for example, in the presence of a perpendicular electric field, a band gap appears in the electronic spectrum of so-called Bernal-stacked graphene [Oostinga JB, et al. (2007) Nature Materials 7:151–157]. This band gap is intimately tied to a structural spontaneous symmetry breaking in bilayer graphene, where one of the graphene layers shifts by an atomic spacing with respect to the other. This shift can happen in multiple directions, resulting in multiple stacking domains with soliton-like structural boundaries between them. Theorists have recently proposed that novel electronic states exist at these boundaries [Vaezi A, et al. (2013) arXiv:1301.1690; Zhang F, et al. (2013) arXiv:1301.4205], but very little is known about their structural properties. Here we use electron microscopy to measure with nanoscale and atomic resolution the widths, motion, and topological structure of soliton boundaries and related topological defects in bilayer graphene. We find that each soliton consists of an atomic-scale registry shift between the two graphene layers occurring over 6–11 nm. We infer the minimal energy barrier to interlayer translation and observe soliton motion during in situ heating above 1,000 °C. The abundance of these structures across a variety of samples, as well as their unusual properties, suggests that they will have substantial effects on the electronic and mechanical properties of bilayer graphene.
References
31
Referenced
478
10.1103/PhysRevB.84.045404
10.1021/nl204547v
10.1021/nl301932v
10.1038/nature09718
10.1021/ja109793s
10.1016/j.susc.2013.01.005
- GK Williamson, Electron microscope studies of dislocation structures in graphite. Proc R Soc Lond Ser A Math Phys Sci 257, 457–463 (1960). / Proc R Soc Lond Ser A Math Phys Sci / Electron microscope studies of dislocation structures in graphite by Williamson GK (1960)
10.1017/S1431927609991309
10.1016/0304-3991(87)90229-4
10.1007/978-1-4419-6533-2
10.1126/science.1157996
10.1063/1.1659428
10.1016/j.ssc.2007.02.013
10.1063/1.3557819
10.1016/0167-2789(86)90019-9
-
Qiao Z Jung J Lin C MacDonald AH Niu Q (2013) Current partition at topological zero-line intersections. arXiv:1302.6307v1.
(
10.1103/PhysRevLett.112.206601
) -
Dean CR et al. (2013) Hofstadter's butterfly and the fractal quantum Hall effect in moiré superlattices. Nature 10.1038/nature12186.
(
10.1038/nature12186
) 10.1038/nphys1463
-
San-Jose P Prada E (2013) Chiral networks in twisted graphene bilayers under interlayer bias. arXiv:1304.5344.
(
10.1103/PhysRevB.88.121408
) 10.1038/nphys1436
10.1103/PhysRevLett.104.097203
10.1063/1.3531666
10.1080/00018730500442209
-
Cho S et al. (2013) Thermoelectric Imaging of Structural Disorder in Epitaxial Graphene. arXiv:1305.2845.
(
10.1038/nmat3708
) 10.1038/nmat2082
10.1038/nature08105
10.1126/science.1194988
10.1126/science.1130681
-
Vaezi A Liang Y Ngai DH Yang L Kim E (2013) Topological kink states at tilt boundary in gated multi-layer graphene. arXiv:1301.1690.
(
10.1103/PhysRevX.3.021018
) -
Zhang F MacDonald AH Mele EJ (2013) Valley Chern numbers and boundary modes in gapped bilayer graphene. arXiv:1301.4205.
(
10.1073/pnas.1308853110
) 10.1038/nature08879
Dates
Type | When |
---|---|
Created | 12 years, 1 month ago (June 25, 2013, 12:20 a.m.) |
Deposited | 3 years, 4 months ago (April 15, 2022, 7:50 p.m.) |
Indexed | 14 minutes ago (Aug. 23, 2025, 7:43 p.m.) |
Issued | 12 years, 1 month ago (June 24, 2013) |
Published | 12 years, 1 month ago (June 24, 2013) |
Published Online | 12 years, 1 month ago (June 24, 2013) |
Published Print | 12 years, 1 month ago (July 9, 2013) |
@article{Alden_2013, title={Strain solitons and topological defects in bilayer graphene}, volume={110}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.1309394110}, DOI={10.1073/pnas.1309394110}, number={28}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Alden, Jonathan S. and Tsen, Adam W. and Huang, Pinshane Y. and Hovden, Robert and Brown, Lola and Park, Jiwoong and Muller, David A. and McEuen, Paul L.}, year={2013}, month=jun, pages={11256–11260} }