Tunable $\phi$-Josephson junction with a quantum anomalous Hall insulator

Abstract

We theoretically study the Josephson current in a superconductor/quantum anomalous Hall insulator/superconductor junction by using the lattice Green function technique. When an in-plane external Zeeman field is applied to the quantum anomalous Hall insulator, the Josephson current $J$ flows without a phase difference across the junction $\theta$. The phase shift $\phi$ appealing in the current-phase relationship $J\propto \sin (\theta -\phi$) is proportional to the amplitude of Zeeman fields and depends on the direction of Zeeman fields. A phenomenological analysis of the Andreev reflection processes explains the physical origin of $\phi$. A quantum anomalous Hall insulator breaks time-reversal symmetry and mirror reflection symmetry simultaneously. However it preserves magnetic mirror reflection symmetry. Such characteristic symmetry property enable us to have a tunable $\phi$-junction with a quantum Hall insulator.

arXiv comment10pages, 9figures

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Cited by in corpus (9)

• ${\phi }_0$-Josephson junction in twisted bilayer graphene induced by a valley-polarized state
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• Proximity effect in a ferromagnetic semiconductor with spin-orbit interactions
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Quantum interference in a superconductor-${\mathrm{MnBi}}_2{\mathrm{Te}}_4$-superconductor Josephson junction
• Chern insulator in a ferromagnetic two-dimensional electron system with Dresselhaus spin-orbit coupling
• Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• Spin-Valley Locking and Pure Spin-Triplet Superconductivity in Noncollinear Antiferromagnets Proximitized to Conventional Superconductors