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Emergent Josephson current of N=1 chiral topological superconductor in quantum anomalous Hall insulator/superconductor heterostructures

Chui-Zhen Chen, James Jun He, Dong-Hui Xu, K. T. Law

DOI 10.1103/PhysRevB.98.165439 · Physical Review B

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Abstract

Recently, a quantum anomalous Hall insulator (QAHI)/superconductor heterostructure has been realized and shows half-quantized conductance plateaus in two-terminal conductance measurements [Q. L. He et al., Science 357, 294 (2017)]. The half-quantized conductance plateaus are considered as a solid evidence of chiral Majorana edge modes. However, there is a strong debate over the origin of the half-quantized conductance plateaus. In this work, we propose a Josephson junction based on the QAHI/superconductor heterostructure to identify the existence of chiral Majorana edge modes. We find that the critical Josephson current dramatically increases to a peak value when a half-quantized conductance plateau σ12=e2/2h is showing up for the N=1 chiral topological superconductor phase with a single chiral Majorana mode. Furthermore, we show that the critical Josephson current of the N=1 chiral topological superconductor exhibits an h/e-period oscillation and is robust to disorder, in contrast to the behaviors of conventional two-dimensional electron gas systems. We also estimate experimentally relevant parameters and believe that the supercurrent can be observed in experiments.

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