Modified Bogoliubov-de Gennes treatment for Majorana conductances in three-terminal transports

Modified Bogoliubov-de Gennes treatment for Majorana conductances in three-terminal transports
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三端传输中马约拉纳电导的改进 Bogoliubov-de Gennes 处理

DOI:
10.1007/s11433-021-1811-6
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发表时间:
2020-08
期刊:
Science China. Physics, Mechanics & Astronomy
影响因子:
--
通讯作者:
Jinshuang Jin
Jinshuang Jin
中科院分区:
其他
文献类型:
--
作者:
Xin-Qi Li;Wei Feng;Lupei Qin;Jinshuang Jin

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我们认为双引线通过Majorana零模(MZM)建立非局域输运的三端模型,并构造Majorana主方程(这对于小的偏置电压也是有效的)。我们首先呈现电流的代表性结果,然后表明只有修改的Bogoliubov-de Gennes(BdG)处理可以一致地恢复相同的结果。基于两种方法的相互作用,我们揭示了即使在MZM的耦合能量为零的极限下,也存在非零的隐形传态通道和交叉Andreev反射,这导致了对局域电导的零偏置峰高度和隐形传态电导的MZM标度行为的新预测,并通过实验进行了验证。
We consider a two-lead (three-terminal) setup of non-local transport through Majorana zero modes (MZMs) and construct a Majorana master equation (which is also valid for small bias voltages).We first present representative results of current and then show that only a modified Bogoliubov-de Gennes (BdG) treatment can consistently recover the same results.Based on the interplay of the two approaches,we reveal the existence of non-vanishing channels of teleportation and crossed Andreev reflections even at the limit ϵ_M → 0 (zero coupling energy of the MZMs),which leads to new predictions for the height of the zero-bias-peak of the local conductance and the ϵM-scaling behavior of the teleportation conductance,for verification by experiments.
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