We present a mathematically simple procedure for explaining and visualizing the dynamics of quantized transport in topological insulators. The procedure serves to illustrate and clarify the dynamics of topological transport in general, but for the sake of concreteness, it is phrased here in terms of electron transport in a charge-ordered chain, which may be mapped exactly onto transport between edge channels in the Integer Quantum Hall Effect. It has the advantage that it allows a direct visualization of the real-space and real-time evolution of the electronic charges throughout the topological pumping cycle, thus demystifying how charge flows between remote edges separated by an insulating bulk, why the amount of transported charge is given by a topological invariant, and how continuous driving yields a discrete, quantized amount of transported charge.

中文翻译：

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可视化拓扑传输

我们提出了一个数学上简单的程序来解释和可视化拓扑绝缘体中量化传输的动力学。该过程用于说明和阐明一般拓扑传输的动力学，但为了具体起见，这里用电荷有序链中的电子传输来表述，它可以精确地映射到边缘通道之间的传输整数量子霍尔效应。它的优点是它允许在整个拓扑泵浦循环中直接可视化电子电荷的真实空间和实时演变，从而揭开电荷如何在被绝缘体隔开的远程边缘之间流动的神秘面纱，为什么传输的电荷量由拓扑不变量给出，以及连续驱动如何产生离散，