Chern insulators (CIs) or quantum anomalous Hall (QAH) states have drawn more attention, with emergence of quantized Hall conductance but in absence of Landau levels. Here, we study the Haldane-type CI/QAH states on Möbius strips and focus on the quantum transport properties. The Möbius strips can be constructed from the twisted honeycomb-lattice strips with domain walls. Topological properties of the Möbius CI/QAH states can be identified by the local density of states, the real-space Chern numbers and the transport properties. Nearly perfect quantized conductance plateaus are observed in the numerical quantum-transport simulations. In addition, we found that adding magnetic flux in domain walls can induce alternating edge states. At last, we discussed in details the different lead connection schemes, and found that we can use multiple domain walls to obtain various higher quantized conductance plateaus.

中文翻译：

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莫比乌斯带上陈绝缘体中的量子输运

陈绝缘体 (CI) 或量子反常霍尔 (QAH) 状态引起了更多关注，出现了量子化霍尔电导但没有朗道能级。在这里，我们研究了莫比乌斯带上的霍尔丹型 CI/QAH 态，并专注于量子传输特性。莫比乌斯带可以由带有畴壁的扭曲蜂窝状晶格带构成。莫比乌斯 CI/QAH 状态的拓扑特性可以通过状态的局部密度、实空间陈数和传输特性来识别。在数值量子传输模拟中观察到近乎完美的量化电导平台。此外，我们发现在畴壁中添加磁通量可以引起交替的边缘状态。最后，我们详细讨论了不同的引线连接方案，