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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 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)=2e²/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) ∼ V^m-2. Our setup is within reach of present experimental techniques.

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