论文标题
障碍在斐波那契准晶体中的影响
Effects of Disorder in the Fibonacci Quasicrystal
论文作者
论文摘要
我们研究了一维纤维科链的特性，该链的放置位置杂质。可以根据放置杂质的位点的重新归一化路径来对产生的逆碘破坏进行分类，从而大大降低了杂质可能诱导的无序行为的可能数量。此外，发现在某种程度上，可以通过将单个贡献共同添加并忽略非线性效应来添加多种弱杂质。这意味着存在准静脉序列与无序之间的过渡状态，其中系统的某些部分仍表现出式静脉疾病，而其他部分开始以波形的不同定位行为为特征。这是通过对对称的对称幅度图来表现出来的，该图幅度图和反向参与率表示。对于后者，我们发现其平均状态也可以根据放置杂质的位点的重新规范化路径进行分组。
We study the properties of the one-dimensional Fibonacci chain, subjected to the placement of on-site impurities. The resulting disruption of quasiperiodicity can be classified in terms of the renormalization path of the site at which the impurity is placed, which greatly reduces the possible amount of disordered behavior that impurities can induce. Moreover, it is found that, to some extent, the addition of multiple, weak impurities can be treated by superposing the individual contributions together and ignoring nonlinear effects. This means that a transition regime between quasiperiodic order and disorder exists, in which some parts of the system still exhibit quasiperiodicity, while other parts start to be characterized by different localisation behaviours of the wavefunctions. This is manifested through a symmetry in the wavefunction amplitude map, expressed in terms of conumbers, and through the inverse participation ratio. For the latter, we find that its average of states can also be grouped in terms of the renormalization path of the site at which the impurity has been placed.
