Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
1 School of Physics and Engineering, Henan University of Science and Technology - Luoyang 471003, China
2 National Laboratory of Solid State Microstructures, Department of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University - Nanjing 210093, China
Received: 9 March 2016
Accepted: 26 April 2016
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 integer QH liquid, the universal low-energy tunneling transport is governed by the perfect Andreev reflection fixed point with quantized zero-bias conductance , which can serve as a definitive fingerprint of the existence of a Majorana fermion. For the Laughlin fractional QH liquids, its transport is governed by the perfect normal reflection fixed point with vanishing zero-bias conductance and bias-dependent conductance . Our setup is within reach of the present experimental techniques.
PACS: 73.43.-f – Quantum Hall effects / 74.45.+c – Proximity effects; Andreev reflection; SN and SNS junctions / 64.60.ae – Renormalization-group theory
© EPLA, 2016