超声在三维弹性网络中的定位
Localization of ultrasound in a three-dimensional elastic network
摘要：
经过整整半个世纪的安德森局域化，这个主题比以往任何时候都更加活跃。直接观察电子的安德森局域化总是受到相互作用和有限温度的阻碍。然而，许多理论上的突破，突出的有限尺寸标度，自洽理论和安德森紧束缚模型的数值解。理论理解是基于简化的模型或近似，与实验的比较是至关重要的。尽管有大量新的实验数据，包括微波、光、超声波和冷原子，但仍然存在许多问题，特别是对于三维空间。在这里，我们报告的声音定位在一个随机的三维弹性网络的第一次观察。我们研究了流动性边缘以下的时间依赖性传输，并报告了三维中的“横向定位”，这是以前从未观察到的任何波。数据很好地描述了自洽理论的本地化。传输揭示了非高斯统计，与理论预测一致。
英文摘要：
After exactly half a century of Anderson localization, the subject is more alive than ever. Direct observation of Anderson localization of electrons was always hampered by interactions and finite temperatures. Yet, many theoretical breakthroughs were made, highlighted by finite-size scaling, the self-consistent theory and the numerical solution of the Anderson tight-binding model. Theoretical understanding is based on simplified models or approximations and comparison with experiment is crucial. Despite a wealth of new experimental data, with microwaves, light, ultrasound and cold atoms, many questions remain, especially for three dimensions. Here we report the first observation of sound localization in a random three-dimensional elastic network. We study the time-dependent transmission below the mobility edge, and report ``transverse localization'' in three dimensions, which has never been observed previously with any wave. The data are well described by the self-consistent theory of localization. The transmission reveals non-Gaussian statistics, consistent with theoretical predictions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
