The fine structure of the density of states is studied numerically in the quantum Hall effect mode during the ballistic transmission of an electron through an area of 1 µm² of a two-dimensional electron gas with weak long-range disorder. The calculated widths of strict quantum plateaus agree with experimental data. Periodic conductance oscillations corresponding to the addition of two electrons to the simulated area are found in the central part of the lower Landau band. One-dimensional countercurrents are found inside the area and at its edge, which are separated by a magnetic length and explained by the motion of an electron with a low drift velocity.

中文翻译：

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弱远程紊乱样品中量子霍尔效应的模拟

在电子通过具有弱的长程无序性的二维电子气的1 µm ²区域进行弹道传输期间，以量子霍尔效应模式对状态密度的精细结构进行了数值研究。严格量子平台的计算宽度与实验数据一致。在较低的朗道带的中心部分发现了与向模拟区域中添加两个电子相对应的周期性电导振荡。在该区域的内部及其边缘发现一维逆流，这些逆流由一个磁性长度隔开，并且可以用低漂移速度的电子运动来解释。