标题： 一维拓扑绝缘体在超薄锗烯纳米带中的实现 显示英文标题

标题： Realization of a one-dimensional topological insulator in ultrathin germanene nanoribbons

摘要： 实现一维（1D）拓扑绝缘体并确定二维（2D）行为的低维极限是开发高密度量子态网络、推进拓扑量子计算以及探索拓扑材料中维度效应的关键步骤。 尽管二维拓扑绝缘体已经在实验上实现，但它们的低维极限和一维对应物仍然难以捉摸。 在这里，我们制备并表征了锯齿形终止的锗烯纳米带，这是一种具有大拓扑体能隙的二维拓扑绝缘体。 这些纳米带的电子性质强烈依赖于其宽度，拓扑边缘态可延续到临界宽度（约2 nm），定义了二维拓扑的极限。 低于这个阈值时，与十重方式分类相反，我们在超薄纳米带的末端观察到零维（0D）态。 这些末端态由时间反演和镜像对称性拓扑保护，标志着具有强自旋轨道耦合的一维拓扑绝缘体的首次实现。 我们的发现确立了锗烯纳米带作为研究拓扑材料中一维拓扑和维度效应的平台。 显示英文摘要

摘要： Realizing a one-dimensional (1D) topological insulator and identifying the lower dimensional limit of two-dimensional (2D) behavior are crucial steps toward developing high-density quantum state networks, advancing topological quantum computing, and exploring dimensionality effects in topological materials. Although 2D topological insulators have been experimentally realized, their lower dimensional limit and 1D counterparts remain elusive. Here, we fabricated and characterized arrays of zigzag-terminated germanene nanoribbons, a 2D topological insulator with a large topological bulk gap. The electronic properties of these nanoribbons strongly depend on their width, with topological edge states persisting down to a critical width (approx. 2 nm), defining the limit of 2D topology. Below this threshold, contrary to the tenfold way classification, we observe zero-dimensional (0D) states localized at the ends of the ultrathin nanoribbons. These end states, topologically protected by time-reversal and mirror symmetries, mark the first realization of a 1D topological insulator with strong spin-orbit coupling. Our findings establish germanene nanoribbons as a platform for investigating 1D topology and dimensionality effects in topological materials.