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arXiv 2201.12025cond-mat.mes-hall
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在量子霍尔石墨烯PN结中,边缘态是如何定位的?

How do edge states position themselves in a quantum Hall graphene pn junction?

I. M. Flór, A. Lacerda-Santos, G. Fleury, P. Roulleau, X. Waintal

摘要:

最近的实验表明,可以使用量子霍尔机制中的石墨烯PN结来构建前所未有的精密度的电子马赫-曾德尔干涉仪。在这些结中,对应于两个不同的谷配置的两个不同的边缘状态在空间上分离,并形成干涉仪的两个臂。观察到的分离,几十纳米,已被发现是异常高,从而与交换相互作用的不切实际的值。在这项工作中,我们表明,虽然分离是由于交换相互作用,其实际值是完全由样品的几何形状和独立的交换分裂的值。我们的分析遵循Chklovski-Shklovskii- Glazman关于静电诱导边缘态重构的经典工作路线,并包括实验几何中的定量数值计算。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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