量子屈曲
Quantum Buckling
摘要：
本文研究了二维薄膜在超流作用下的力学屈曲问题。可以看出，在量子序参量的相位中的奇异性（涡旋或反涡旋缺陷）将膜度量扭曲成负锥形奇异性表面，而不管缺陷符号。的缺陷曲率耦合和观察到的不稳定性是在与经典的弹性形成鲜明对比，其中，由正（负）向错引起的面内应变被屏蔽相应的正（负）锥形奇异表面。定义了超流刚度和膜弯曲模量之间的无量纲比，我们推导出量子屈曲不稳定性发生的条件。解析和数值证实了屈曲膜的形状的一个ananterior。
英文摘要：
We study the mechanical buckling of a two dimensional membrane coated with a thin layer of superfluid. It is seen that a singularity (vortex or anti-vortex defect) in the phase of the quantum order parameter, distorts the membrane metric into a negative conical singularity surface, irrespective of the defect sign. The defect-curvature coupling and the observed instability is in striking contrast with classical elasticity where, the in-plane strain induced by positive (negative) disclinations is screened by a corresponding positive (negative) conical singularity surface. Defining a dimensionless ratio between superfluid stiffness and membrane bending modulus, we derive conditions under which the quantum buckling instability occurs. An ansatz for the resulting shape of the buckled membrane is analytically and numerically confirmed.
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