Tunable-φ Josephson junction with a quantum anomalous Hall insulator
Keimei Sakurai, Satoshi Ikegaya, Yasuhiro Asano
DOI 10.1103/PhysRevB.96.224514 · Physical Review B
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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 θ. The phase shift φ appearing in the current-phase relationship J∝sin(θ−φ) 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 φ. In a quantum anomalous Hall insulator, time-reversal symmetry and mirror-reflection symmetry are broken simultaneously. However, magnetic mirror-reflection symmetry is preserved. Such characteristic symmetry properties enable us to have a tunable φ junction with a quantum Hall insulator.
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