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arXiv · 1602.05654

Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions

Zheng-Wei Zuo·Huijuan Li·Liben Li·L. Sheng·R. Shen·D. Y. Xing
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Abstract

The point contact tunnel junctions between a one-dimensional topological superconductor and single-channel quantum Hall (QH) liquids are investigated theoretically with bosonization technology and renormalization group methods. For the $ν=1$ integer QH liquid, the universal low-energy tunneling transport is governed by the perfect Andreev reflection fixed point with quantized zero-bias conductance $G(0)=2e^{2}/h$, which can serve as a definitive fingerprint of the existence of a Majorana fermion. For the $ν=1/m$ Laughlin fractional QH liquids, its transport is governed by the perfect normal reflection fixed point with vanishing zero-bias conductance and bias-dependent conductance $G(V) \sim V^{m-2}$. Our setup is within reach of present experimental techniques.

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Zheng-Wei Zuo, Huijuan Li, Liben Li, L. Sheng, R. Shen, D. Y. Xing. 2016-05-11. Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions. https://doi.org/10.1209/0295-5075%2F114%2F27001

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