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arXiv 2004.10279cond-mat.mes-hall
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库珀对隧穿量子霍尔系统的电流关联

Current correlations of Cooper-pair tunneling into a quantum Hall system

Andreas B. Michelsen, Thomas L. Schmidt, Edvin G. Idrisov

摘要:

研究了整数填充因子和分数填充因子下超导体与量子霍尔边态之间的量子点接触中的库珀对输运。计算了低温极限下直流和交流偏压下隧道电流及其有限频率噪声的隧穿振幅。在零温度和隧穿到单个边缘通道的情况下,由于泡利不相容原理,电导和微分散粒噪声都消失了。相反,在两个边缘通道的存在下,这种泡利阻塞被软化,并且揭示了非零电导和散粒噪声。

英文摘要:

We study Cooper pair transport through a quantum point contact between a superconductor and a quantum Hall edge state at integer and fractional filling factors. We calculate the tunnelling current and its finite-frequency noise to the leading order in the tunneling amplitude for dc and ac bias voltage in the limit of low temperatures. At zero temperature and in case of tunnelling into a single edge channel both the conductance and differential shot noise vanish as a result of Pauli exclusion principle. In contrast, in the presence of two edge channels, this Pauli blockade is softened and a non-zero conductance and shot noise are revealed.

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