合成Penrose平铺中准周期电子态的成像
Imaging Quasi-Periodic Electronic States in a Synthetic Penrose Tiling
摘要：
准晶具有长程序，但缺乏晶体固体的平移对称性。在固体物理学中，周期性是规定晶体中电子能带结构的基本性质之一。在缺乏周期性和准晶有序存在的情况下，电子状态变化的方式仍然是一个谜。扫描隧道显微镜和原子操作可以用来组装一个二维准晶结构映射上彭罗斯瓷砖。这里，一氧化碳分子一次一个地排列在Cu（111）的表面上，通过将电子约束在Cu（111）的二维表面状态中，形成模拟天然材料中原子的离子势的势场。实空间图像揭示了电子波函数中准周期序的存在，并且我们的结果的傅立叶分析将共振态的能量与准晶的局部顶点结构联系起来。
英文摘要：
Quasicrystals possess long-range order but lack the translational symmetry of crystalline solids. In solid state physics, periodicity is one of the fundamental properties that prescribes the electronic band structure in crystals. In the absence of periodicity and the presence of quasicrystalline order, the ways that electronic states change remain a mystery. Scanning tunneling microscopy and atomic manipulation can be used to assemble a two-dimensional quasicrystalline structure mapped upon the Penrose tiling. Here, carbon monoxide molecules are arranged on the surface of Cu(111) one at a time to form the potential landscape that mimics the ionic potential of atoms in natural materials by constraining the electrons in the two-dimensional surface state of Cu(111). The real-space images reveal the presence of the quasiperiodic order in the electronic wave functions and the Fourier analysis of our results links the energy of the resonant states to the local vertex structure of the quasicrystal.
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