Universal shape and pressure inside bubbles appearing in van der Waals heterostructures

被引:302
作者
Khestanova, E. [1 ]
Guinea, F. [1 ,2 ]
Fumagalli, L. [1 ]
Geim, A. K. [1 ]
Grigorieva, I. V. [1 ]
机构
[1] Univ Manchester, Sch Phys & Astron, Oxford Rd, Manchester M13 9PL, Lancs, England
[2] IMDEA Nanociencia, Faraday,9, Madrid 28049, Spain
基金
英国工程与自然科学研究理事会;
关键词
ATOMIC-FORCE MICROSCOPE; MECHANICAL-PROPERTIES; ELASTIC PROPERTIES; GRAPHENE; MODULUS; TRANSPORT; BREAKING; NITRIDE; WATER; MOS2;
D O I
10.1038/ncomms12587
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Trapped substances between a two-dimensional (2D) crystal and an atomically flat substrate lead to the formation of bubbles. Their size, shape and internal pressure are determined by the competition between van der Waals attraction of the crystal to the substrate and the elastic energy needed to deform it, allowing to use bubbles to study elastic properties of 2D crystals and conditions of confinement. Using atomic force microscopy, we analysed a variety of bubbles formed by monolayers of graphene, boron nitride and MoS2. Their shapes are found to exhibit universal scaling, in agreement with our analysis based on the theory of elasticity of membranes. We also measured the hydrostatic pressure induced by the confinement, which was found to reach tens of MPa inside submicron bubbles. This agrees with our theory estimates and suggests that for even smaller, sub-10nm bubbles the pressure can be close to 1GPa and may modify properties of a trapped material.
引用
收藏
页数:10
相关论文
共 43 条
[1]   Square ice in graphene nanocapillaries [J].
Algara-Siller, G. ;
Lehtinen, O. ;
Wang, F. C. ;
Nair, R. R. ;
Kaiser, U. ;
Wu, H. A. ;
Geim, A. K. ;
Grigorieva, I. V. .
NATURE, 2015, 519 (7544) :443-+
[2]   Stretching and Breaking of Ultrathin MoS2 [J].
Bertolazzi, Simone ;
Brivio, Jacopo ;
Kis, Andras .
ACS NANO, 2011, 5 (12) :9703-9709
[3]   van der Waals Bonding in Layered Compounds from Advanced Density-Functional First-Principles Calculations [J].
Bjorkman, T. ;
Gulans, A. ;
Krasheninnikov, A. V. ;
Nieminen, R. M. .
PHYSICAL REVIEW LETTERS, 2012, 108 (23)
[4]   Force measurements with the atomic force microscope: Technique, interpretation and applications [J].
Butt, HJ ;
Cappella, B ;
Kappl, M .
SURFACE SCIENCE REPORTS, 2005, 59 (1-6) :1-152
[5]   Elastic Properties of Freely Suspended MoS2 Nanosheets [J].
Castellanos-Gomez, Andres ;
Poot, Menno ;
Steele, Gary A. ;
van der Zant, Herre S. J. ;
Agrait, Nicolas ;
Rubio-Bollinger, Gabino .
ADVANCED MATERIALS, 2012, 24 (06) :772-775
[6]   On the Measurements of Rigidity Modulus of Soft Materials in Nanoindentation Experiments at Small Depth [J].
Dokukin, Maxim E. ;
Sokolov, Igor .
MACROMOLECULES, 2012, 45 (10) :4277-4288
[7]   Raman Fingerprint of Aligned Graphene/h-BN Superlattices [J].
Eckmann, Axel ;
Park, Jaesung ;
Yang, Huafeng ;
Elias, Daniel ;
Mayorov, Alexander S. ;
Yu, Geliang ;
Jalil, Rashid ;
Novoselov, Kostya S. ;
Gorbachev, Roman V. ;
Lazzeri, Michele ;
Geim, Andre K. ;
Casiraghi, Cinzia .
NANO LETTERS, 2013, 13 (11) :5242-5246
[8]   Van der Waals heterostructures [J].
Geim, A. K. ;
Grigorieva, I. V. .
NATURE, 2013, 499 (7459) :419-425
[9]   Electron-hole puddles in the absence of charged impurities [J].
Gibertini, Marco ;
Tomadin, Andrea ;
Guinea, Francisco ;
Katsnelson, Mikhail I. ;
Polini, Marco .
PHYSICAL REVIEW B, 2012, 85 (20)
[10]   Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering [J].
Guinea, F. ;
Katsnelson, M. I. ;
Geim, A. K. .
NATURE PHYSICS, 2010, 6 (01) :30-33