论文标题
费米表面重建的康普顿配置文件的压缩感应：概念和实现
Compressed Sensing of Compton Profiles for Fermi Surface Reconstruction: Concept and Implementation
论文作者
论文摘要
康普顿散射是一种完善的技术，可以提供有关固体中电子状态的详细信息。利用层析成像原理，可以从具有不同散射轴的康普顿散落数据集中确定费米表面。但是，由于沿着足够数量的散射方向测量所需的长时间获取时间，实际应用受到限制。在这里，我们建议使用压缩传感克服这一困难。利用隐藏的稀疏性在动量分布中，我们能够重建BCC-LI的三维动量分布，并以前所未有的精度识别散射数据的14个方向的费米表面。这种压缩感应方法将允许康普顿散射实验的进一步应用。
Compton scattering is a well-established technique that can provide detailed information about electronic states in solids. Making use of the principle of tomography, it is possible to determine the Fermi surface from sets of Compton-scattering data with different scattering axes. Practical applications, however, are limited due to long acquisition time required for measuring along enough number of scattering directions. Here, we propose to overcome this difficulty using compressed sensing. Taking advantage of a hidden sparsity in the momentum distribution, we are able to reconstruct the three-dimensional momentum distribution of bcc-Li, and identify the Fermi surface with as little as 14 directions of scattering data with unprecedented accuracy. This compressed-sensing approach will permit further wider applications of the Compton scattering experiments.
