Edge-Induced Pairing States of the Josephson Current in a Spin-Polarized Quantum Anomalous Hall Insulator

The Josephson junction of a spin-polarized quantum anomalous Hall insulator connecting conventional superconductors is studied from the perspective of pairing symmetry. Induced pairing states in the chiral edge mode are equal-spin triplet, a combination of the even- and odd-frequency components, nonlocally extended, and have a finite momentum. The signature of the equal-spin triplet pairings is confirmed via the dependence on the interface-magnetization direction, and that of the finite-momentum pairing states via the width dependence. In the presence of disorder, the robustness of the chiral edge mode leads to high sensitivity to disorder configurations, which is resulting from the interference of current-carrying channels.