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Effect of anomalous elasticity on bubbles in van der Waals heterostructures
Physical Review E ( IF 2.4 ) Pub Date : 2020-03-30 , DOI: 10.1103/physreve.101.033005 A. A. Lyublinskaya , S. S. Babkin , I. S. Burmistrov
Physical Review E ( IF 2.4 ) Pub Date : 2020-03-30 , DOI: 10.1103/physreve.101.033005 A. A. Lyublinskaya , S. S. Babkin , I. S. Burmistrov
It is shown that the anomalous elasticity of membranes affects the profile and thermodynamics of a bubble in van der Waals heterostructures. Our theory generalizes the nonlinear plate theory as well as the membrane theory of the pressurised blister test to incorporate the power-law scale dependence of the bending rigidity and Young's modulus of a two-dimensional crystalline membrane. This scale dependence, caused by long-range interaction of relevant thermal fluctuations (flexural phonons), is responsible for the nonlinear Hooke law observed recently in graphene. It is shown that this anomalous elasticity affects the dependence of the maximal height of the bubble as a function of its radius and temperature. We determine the characteristic temperature above which the anomalous elasticity is important. It is suggested that, for graphene-based van der Waals heterostructures, the predicted anomalous regime is experimentally accessible at room temperature.
中文翻译:
弹性异常对范德华异质结构中气泡的影响
结果表明,膜的反常弹性会影响范德华异质结构中气泡的轮廓和热力学。我们的理论推广了非线性板理论以及加压水泡试验的膜理论,将二维结晶膜的抗弯刚度和杨氏模量的幂律尺度相关性纳入其中。由相关热波动(挠性声子)的长期相互作用引起的这种尺度依赖性是石墨烯中最近观察到的非线性胡克定律的原因。已经表明,这种异常弹性影响气泡的最大高度随其半径和温度的变化。我们确定异常弹性在其中重要的特征温度。建议,
更新日期:2020-03-30
中文翻译:
弹性异常对范德华异质结构中气泡的影响
结果表明,膜的反常弹性会影响范德华异质结构中气泡的轮廓和热力学。我们的理论推广了非线性板理论以及加压水泡试验的膜理论,将二维结晶膜的抗弯刚度和杨氏模量的幂律尺度相关性纳入其中。由相关热波动(挠性声子)的长期相互作用引起的这种尺度依赖性是石墨烯中最近观察到的非线性胡克定律的原因。已经表明,这种异常弹性影响气泡的最大高度随其半径和温度的变化。我们确定异常弹性在其中重要的特征温度。建议,