We consider observation of Aharonov-Bohm oscillations in clean systems based on the flow of topologically protected currents in silicene and bilayer graphene. The chiral channels in these materials are defined by the flips of the vertical electric field. The line of the flip confines chiral currents flowing along it in the direction determined by the valley. We present an electric field profile that forms a crossed ring to which four terminals can be attached, and find that the conductance matrix elements oscillate in the perpendicular magnetic field in spite of the absence of backscattering. We propose a four-probe resistance measurement setup, and demonstrate that the resistance oscillations have large visibility provided that the system is prepared in such a way that a direct transfer of the chiral carriers between the current probes is forbidden.

中文翻译：

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硅和双层石墨烯的拓扑量子环中四探针电阻的Aharonov-Bohm振荡

我们考虑基于硅和双层石墨烯中受拓扑保护的电流的流动，在干净的系统中观察Aharonov-Bohm振荡。这些材料中的手性通道是由垂直电场的翻转定义的。翻转线将沿其流动的手性电流限制在由谷确定的方向上。我们介绍了一个电场曲线，该电场曲线形成了一个可以连接四个端子的交叉环，并且发现尽管没有反向散射，电导矩阵元素也会在垂直磁场中振荡。我们提出了一种四探针电阻测量设置，