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DOI	10.1073/pnas.2025870118
	Van der Waals interaction affects wrinkle formation in two-dimensional materials
	Ares P.; Wang Y.B.; Woods C.R.; Dougherty J.; Fumagalli L.; Guinea F.; Davidovitch B.; Novoselov K.S.
发表日期	2021
ISSN	00278424
卷号	118 期号:14
英文摘要	Nonlinear mechanics of solids is an exciting field that encompasses both beautiful mathematics, such as the emergence of instabilities and the formation of complex patterns, as well as multiple applications. Two-dimensional crystals and van der Waals (vdW) heterostructures allow revisiting this field on the atomic level, allowing much finer control over the parameters and offering atomistic interpretation of experimental observations. In this work, we consider the formation of instabilities consisting of radially oriented wrinkles around mono- and few-layer "bubbles" in two-dimensional vdW heterostructures. Interestingly, the shape and wavelength of the wrinkles depend not only on the thickness of the two-dimensional crystal forming the bubble, but also on the atomistic structure of the interface between the bubble and the substrate, which can be controlled by their relative orientation. We argue that the periodic nature of these patterns emanates from an energetic balance between the resistance of the top membrane to bending, which favors large wavelength of wrinkles, and the membrane-substrate vdW attraction, which favors small wrinkle amplitude. Employing the classical "Winkler foundation" model of elasticity theory, we show that the number of radial wrinkles conveys a valuable relationship between the bending rigidity of the top membrane and the strength of the vdW interaction. Armed with this relationship, we use our data to demonstrate a nontrivial dependence of the bending rigidity on the number of layers in the top membrane, which shows two different regimes driven by slippage between the layers, and a high sensitivity of the vdW force to the alignment between the substrate and the membrane. © 2021 National Academy of Sciences. All rights reserved.
英文关键词	Graphene; Instabilities; Van der Waals heterostructures
语种	英语
scopus关键词	Article; chemical interaction; crystal structure; elasticity; energy balance; force; mathematical analysis; membrane resistance; priority journal; rigidity; sensitivity analysis; thickness; Young modulus
来源期刊	Proceedings of the National Academy of Sciences of the United States of America
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/179977
作者单位	Department of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, United Kingdom; National Graphene Institute, University of Manchester, Manchester, M13 9PL, United Kingdom; IMDEA (Instituto Madrileño de Estudios Avanzados) Nanoscience, Madrid, 28049, Spain; Donostia International Physics Center, San Sebastián, 20018, Spain; Ikerbasque, Basque Foundation for Science, Bilbao, 48009, Spain; Department of Physics, University of Massachusetts Amherst, Amherst, MA 01003, United States; Centre for Advanced 2D Materials, National University of Singapore, Singapore, 117546, Singapore; Chongqing 2D Materials Institute, Chongqing, 400714, China
推荐引用方式 GB/T 7714	Ares P.,Wang Y.B.,Woods C.R.,et al. Van der Waals interaction affects wrinkle formation in two-dimensional materials[J],2021,118(14).
APA	Ares P..,Wang Y.B..,Woods C.R..,Dougherty J..,Fumagalli L..,...&Novoselov K.S..(2021).Van der Waals interaction affects wrinkle formation in two-dimensional materials.Proceedings of the National Academy of Sciences of the United States of America,118(14).
MLA	Ares P.,et al."Van der Waals interaction affects wrinkle formation in two-dimensional materials".Proceedings of the National Academy of Sciences of the United States of America 118.14(2021).