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arXiv 1809.08042cond-mat.mes-hall
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量子霍尔装置中的相互作用诱导超电流

Interaction-induced supercurrent in quantum Hall setups

Xiao-Li Huang, Yuli V. Nazarov

摘要:

最近,我们提出了一个不寻常的机制,超导电流是特定的量子霍尔边缘通道连接到超导电极。我们已经表明,超电流可以介导的非本地电子-电子相互作用,提供了一个机会,在相反的方向上的电子流的长距离信息传输。这种相互作用的一个方便的模型是外部电路的模型。已经针对单通道的情况进行了考虑。在这项工作中,我们将这些结果扩展到更复杂的设置,包括相反方向的量子霍尔通道和多个超导接触之间的散射。对于单一的量子霍尔收缩,我们推导出一个通用的和全面的关系,相互作用诱导的超电流的散射振幅,并证明了非本地的性质,通过考虑其散射的敏感性电流。我们理解的相位依赖性的超导电流在多终端设置的Andreev反射过程的干扰。对于包含至少两个收缩的更复杂的设置,我们发现非相互作用和相互作用-感应电流和复杂的干扰过程的contributions之间的相互作用。

英文摘要:

Recently we have proposed an unusual mechanism of superconducting current that is specific for Quantum Hall Edge channels connected to superconducting electrodes. We have shown that the supercurrent can be mediated by a nonlocal electon-electon interaction that provide an opportunity for a long-distance information transfer in the direction opposite to the electron flow. A convenient model for such interaction is that of an external circuit. The consideration has been done for the case of a single channel. In this work, we extend these results to more sophisticated setups that include the scattering between Quantum Hall channels of opposite direction and multiple superconducting contacts. For a single Quantum Hall constriction, we derive a general and comprehensive relation for the interaction- induced supercurrent in terms of scattering amplitudes and demonstrate the non-local nature of the current by considering its sensitivity to scattering. We understand the phase dependences of the supercurrents in multi-terminal setups in terms of interference of Andreev reflection processes. For more complex setups encompassing at least two constrictions we find an interplay between non-interacting and interaction-induced currents and contibutions of complex interference processes.

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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