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.

10pages, 9figures

References in corpus (9)

• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Precise quantization of anomalous Hall effect near zero magnetic field
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Josephson current through a quantum dot with spin-orbit coupling

Cited by in corpus (1)

• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects