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Quantum perfect crossed Andreev reflection in top-gated quantum anomalous Hall insulator–superconductor junctions

Ying-Tao Zhang, Zhe Hou, X. C. Xie, Qing-Feng Sun

DOI 10.1103/PhysRevB.95.245433 · Physical Review B

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Abstract

We investigate the quantum tunneling and Andreev reflection in a top-gated quantum anomalous Hall insulator proximity coupled with a superconductor junction. A quantized perfect crossed Andreev reflection with its coefficient being integer 1 is obtained and all other scattering processes (the normal reflection, normal tunneling, and local Andreev reflection) are completely suppressed when the topological superconductor phase with Chern number N=1 is realized. This perfect crossed Andreev reflection originates from the tunneling of the chiral Majorana edge states, and the phase of tunneling amplitude only being 0 and π plays a decisive role. Furthermore, because of the chiral characteristic of the Majorana edge states, the perfect crossed Andreev reflection is robust against the disorder and can work in a wide range of system parameters.

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