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

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 $\nu =1$ 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 $\nu =1/m$ 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.

6 pages, 1 figure, Added references,Corrected typos

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Cited by in corpus (4)

• Fibonacci anyons versus Majorana fermions
• Symmetry analysis of transport properties in helical superconductor junctions
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• The construction of a universal quantum gate set for the SU(2)k (k=5,6,7) anyon models via genetic optimized algorithm