论文标题
1D准晶体和拓扑标记
1D quasicrystals and topological markers
论文作者
论文摘要
局部拓扑标记是确定均匀和不均匀系统的拓扑特性的有效工具。 Chern标记是一种已建立的拓扑标记，以前已显示出有效揭示2D系统的拓扑特性。在较早的工作中，目前的作者开发了一个标记，可以应用于一维时间依赖的系统，该系统可用于探索其拓扑特性，例如在存在混乱的情况下泵送电荷泵送。在本文中，我们展示了如何更改1D标记，以便将其应用于Quasiperiodic和Aperiodic系统。然后，我们验证其对不同的准晶体汉密尔顿人的有效性，其中一些已在先前的研究中使用现有方法解决了，而另一些具有拓扑结构，这些结构在很大程度上没有探索。我们还证明，更改后的1D标记可以有效地应用于完全aperiodic的系统。
Local topological markers are effective tools for determining the topological properties of both homogeneous and inhomogeneous systems. The Chern marker is an established topological marker that has previously been shown to effectively reveal the topological properties of 2D systems. In an earlier work, the present authors have developed a marker that can be applied to 1D time-dependent systems which can be used to explore their topological properties, like charge pumping under the presence of disorder. In this paper, we show how to alter the 1D marker so that it can be applied to quasiperiodic and aperiodic systems. We then verify its effectiveness against different quasicrystal Hamiltonians, some which have been addressed in previous studies using existing methods, and others which possess topological structures that have been largely unexplored. We also demonstrate that the altered 1D marker can be productively applied to systems that are fully aperiodic.
