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Control of Josephson current by Aharonov-Casher phase in a Rashba ring

机译:Rashba环中Aharonov-Casher相控制约瑟夫森电流

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We study the interference effect induced by the Aharonov-Casher phase on the Josephson current through a semiconducting ring attached to superconducting leads. Using a one-dimensional model that incorporates spin-orbit coupling in the semiconducting ring, we calculate the Andreev levels analytically and numerically, and predict oscillations of the Josephson current due to the AC phase. This result is valid from the point-contact limit to the long channel-length case, as denned by the ratio of the junction length and the BCS healing length. We show in the long channel-length limit that the impurity scattering has no effect on the oscillation of the Josephson current, in contrast to the case of conductivity oscillations in a spin-orbit-coupled ring system attached to normal leads where impurity scattering reduces the amplitude of oscillations. Our results suggest a scheme to measure the AC phase with, in principle, higher sensitivity. In addition, this effect allows for control of the Josephson current through the gate-voltage-tuned AC phase.
机译:我们研究了Aharonov-Casher相通过与超导引线相连的半导电环对约瑟夫森电流的干扰效应。使用在半导体环中纳入自旋轨道耦合的一维模型,我们可以通过分析和数值计算得出安德列夫能级,并预测由于交流相位而引起的约瑟夫森电流的振荡。从结点接触极限到长通道长度的情况,此结果是有效的,这由结点长度与BCS愈合长度之比确定。我们在很长的通道长度限制中表明,杂质散射对约瑟夫森电流的振荡没有影响,这与连接到正常引线的自旋轨道耦合环系统中的电导率振荡的情况相反,在该情况下,杂质散射会降低振荡幅度。我们的结果提出了一种原则上具有更高灵敏度的交流相测量方案。另外,这种效果允许控制通过栅极电压调谐的AC相的约瑟夫森电流。

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