Liu Jia-Qi, Bian Xue-Bin
Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan, 430071, China.
Nat Commun. 2024 Dec 30;15(1):10856. doi: 10.1038/s41467-024-55205-x.
Electron diffraction spectroscopy is a fundamental tool for investigating quasicrystal structures, which unveils the quasiperiodic long-range order. Nevertheless, it falls short in effectively distinguishing separate local isomorphism classes. This is a long outstanding problem. Here, we study the high-order harmonic generation in two-dimensional generalized Penrose quasicrystals to optically resolve different local isomorphism classes. The results reveal that: (i) harmonic spectra from different parts of a quasicrystal are identical, even though their atomic arrangements vary significantly. (ii) The harmonic yields of diverse local isomorphism classes exhibit variations, providing a way to distinguish local isomorphism classes. (iii) The rotational symmetry of harmonic yield can serve as a characteristic of quasicrystal harmonics and is consistent with the orientation order. Our results not only pave the way for confirming the experimental reproducibility of quasicrystal harmonics and identifying quasicrystal local isomorphism classes, but also shed light on comprehending electron dynamics influenced by the vertex environments.
电子衍射光谱是研究准晶体结构的一种基本工具，它揭示了准周期的长程有序性。然而，它在有效区分不同的局部同构类方面存在不足。这是一个长期存在的突出问题。在此，我们研究二维广义彭罗斯准晶体中的高次谐波产生，以光学方式分辨不同的局部同构类。结果表明：(i) 准晶体不同部分的谐波光谱是相同的，尽管它们的原子排列有显著差异。(ii) 不同局部同构类的谐波产率表现出变化，为区分局部同构类提供了一种方法。(iii) 谐波产率的旋转对称性可作为准晶体谐波的一个特征，并且与取向有序性一致。我们的结果不仅为确认准晶体谐波的实验可重复性和识别准晶体局部同构类铺平了道路，还为理解受顶点环境影响的电子动力学提供了线索。
