论文标题
边缘状态如何将自己定位在量子厅石墨烯PN连接处？
How do edge states position themselves in a quantum Hall graphene pn junction?
论文作者
论文摘要
最近的实验表明，可以使用量子厅制度中的石墨烯PN连接来构建前所未有的保真度的电子手学干涉仪。在这些连接中，对应于两个不同山谷配置的两个不同边缘状态在空间上分离，并形成干涉仪的两个臂。已经发现，观察到的分离，几十纳米的分离异常高，因此与交换相互作用的不切实际值有关。在这项工作中，我们表明，尽管分离是由于交换相互作用引起的，但其实际值完全受样本几何形状的控制，并且独立于交换分裂的价值。我们的分析遵循Chklovski-Shklovskii-Glazman在静电诱导的边缘状态重建方面的经典作品的线条，并在实验几何学中包括定量数值计算。
Recent experiments have shown that electronic Mach-Zehnder interferometers of unprecedented fidelities could be built using a graphene pn junction in the quantum Hall regime. In these junctions, two different edge states corresponding to two different valley configurations are spatially separated and form the two arms of the interferometer. The observed separation, of several tens of nanometers, has been found to be abnormally high and thus associated to unrealistic values of the exchange interaction. In this work, we show that, although the separation is due to exchange interaction, its actual value is entirely governed by the sample geometry and independent of the value of the exchange splitting. Our analysis follows the lines of the classical work of Chklovski-Shklovskii- Glazman on electrostatically induced edge state reconstruction and includes quantitative numerical calculations in the experimental geometries.
