一维准晶体紧束缚模型的高度函数和波函数的多分形性
Height Function of a 1D Tight-Binding Quasicrystal Model and Multifractality of Wavefunction
DOI: 10.12677/MP.2023.132006, PDF,    国家自然科学基金支持
作者: 苏 兰, 傅秀军*：华南理工大学物理与光电学院，广东 广州
关键词: 准晶体；高度函数；多分形谱；临界态；Quasicrystal； Height Function； Multifractal Spectrum； Critical State
摘要: 在一维准晶体模型上构造了紧束缚哈密顿量，并且根据替代规则研究了中心电子态。通过计算高度函数的分布，得到了波函数的多分形谱。结果显示出临界态的典型性质。
Abstract: A tight-binding Hamiltonian is constructed in a one-dimensional quasicrystal model and the central electronic eigenstate is investigated based on the substitution rule. By computing the height function distribution, the multifractal spectrum of the wavefunction is obtained. The results show typical behaviors of the critical state.
文章引用：苏兰, 傅秀军. 一维准晶体紧束缚模型的高度函数和波函数的多分形性[J]. 现代物理, 2023, 13(2): 42-49. https://doi.org/10.12677/MP.2023.132006

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