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Visualizing topological transport

机译:可视化拓扑运输

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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. This approach 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.
机译:我们提出了一种数学上简单的程序,用于解释和可视化拓扑绝缘体中量化传输的动态。 该方法用于说明和阐明一般的拓扑传输的动态,而是为了具体,它在这里以电荷有序链中的电子传输而言,这可以被准确地映射到边缘通道之间的运输 整数量子霍尔效应。 这种方法具有以下优点:它允许在整个拓扑泵送循环中直接可视化电子电荷的实时演化,从而搅拌了通过绝缘散装分开的远程边缘之间的充电流动的电荷,为什么运输量 充电由拓扑不变量给出,以及连续驾驶如何产生离散的量化量的运输电荷。

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