Relaxation and Domain Wall Structure of Bilayer Moiré Systems
| العنوان: | Relaxation and Domain Wall Structure of Bilayer Moiré Systems |
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| المؤلفون: | Paul Cazeaux, Drake Clark, Rebecca Engelke, Philip Kim, Mitchell Luskin |
| المصدر: | Journal of Elasticity. |
| بيانات النشر: | Springer Science and Business Media LLC, 2023. |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | Condensed Matter - Materials Science, Condensed Matter - Mesoscale and Nanoscale Physics, Mechanical Engineering, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematics - Analysis of PDEs, Mechanics of Materials, 74B99, 74G65, 74K99, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Mathematics, General Materials Science, Mathematical Physics, Analysis of PDEs (math.AP) |
| الوصف: | Moire patterns result from setting a 2D material such as graphene on another 2D material with a small twist angle or from the lattice mismatch of 2D heterostructures. We present a continuum model for the elastic energy of these bilayer moire structures that includes an intralayer elastic energy and an interlayer misfit energy that is minimized at two stackings (disregistries). We show by theory and computation that the displacement field that minimizes the global elastic energy subject to a global boundary constraint gives large alternating regions of one of the two energy-minimizing stackings separated by domain walls. We derive a model for the domain wall structure from the continuum bilayer energy and give a rigorous asymptotic estimate for the structure. We also give an improved estimate for the L2-norm of the gradient on the moire unit cell for twisted bilayers that scales at most inversely linearly with the twist angle, a result which is consistent with the formation of one-dimensional domain walls with a fixed width around triangular domains at very small twist angles. Comment: 21 pages, 14 figures |
| تدمد: | 1573-2681 0374-3535 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5421fc6b02b74fe06e9e7720c548e0fd https://doi.org/10.1007/s10659-023-10013-0 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....5421fc6b02b74fe06e9e7720c548e0fd |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15732681 03743535 |
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