Switch effect and $0$-$\pi$ transition in Ising superconductor Josephson junctions

Abstract

We theoretically study the Josephson current in Ising superconductor-half-metal-Ising superconductor junctions. By solving the Bogoliubov-de Gennes equations, the Josephson currents contributed by the discrete Andreev levels and the continuous spectrum are obtained. For very short junctions, because the direct tunneling of the Cooper pair dominates the Josephson current, the current-phase difference relation is independent of the magnetization direction, which is the same as the conventional superconductor-ferromagnet-superconductor junctions. On the other hand, when the length of the half-metal is similar to or greater than the superconducting coherence length, the spin-triplet Josephson effect occurs and dominates the Josephson current. In this case, the current-phase difference relations show the strong magnetoanisotropic behaviors with the period π. When the magnetization direction points to the $\pm$ z directions, the current is zero regardless of the phase difference. However, the current has a large value when the magnetization direction is parallel to the junction plane, which leads to a perfect switch effect of the Josephson current. Furthermore, we find that the long junctions can host both the 0 state and πstate, and the $0$-$\pi$ transitions can be achieved with the change of the magnetization direction. The physical origins of the switch effect and $0$-$\pi$ transitions are interpreted from the perspectives of the spin-triplet Andreev reflection, the Ising pairing order parameter and the Ginzburg-Landau type of free energy. In addition, the influences of the chemical potential, the magnetization magnitude, and the strength of the Ising spin-orbit coupling on the switch effect and $0$-$\pi$ transitions are also investigated. Furthermore, the two-dimensional Josephson junctions are also investigated and we show that the spin-triplet Josephson effect can exist always.

References in corpus (36)

• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• MoS_2 as an ideal material for valleytronics: valley-selective circular dichroism and valley Hall effect
• Proximity effects in superconductor-ferromagnet heterostructures
• Evidence of Ising pairing in superconducting NbSe${}_2$ atomic layers
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Superconducting Spintronics
• Two Dimensional Ising Superconductivity in Gated MoS${}_2$
• Superconductivity protected by spin-valley locking in ion-gated MoS2
• Effect of spin-orbit interaction on the excitonic effects in single-layer, double-layer, and bulk MoS2
• Monolayer MoS2: trigonal warping, "Γ-valley", and spin-orbit coupling effects
• Triplet supercurrents in clean and disordered half-metallic ferromagnets
• Josephson effect in ballistic graphene
• Implementation of superconductor-ferromagnet-superconductor pi-shifters in superconducting digital and quantum circuits
• Long range triplet Josephson effect through a ferromagnetic trilayer
• Topological superconductivity in monolayer transition metal dichalcogenides
• Controllable 0-pi Josephson junctions containing a ferromagnetic spin valve
• Ising Superconductivity and Quantum Phase Transition in Macro-Size Monolayer NbSe2
• Ising Superconductivity and Majorana Fermions in Transition Metal Dichalcogenides
• Possible Topological Superconducting Phases of MoS${}_2$
• Magnetic Proximity Effects in Transition-Metal Dichalcogenides: Converting Excitons
• Temperature-dependence of spin-polarized transport in ferromagnet / unconventional superconductor junctions
• Andreev reflection through a quantum dot coupled with two ferromagnets and a superconductor
• Enhancement of the upper critical field in disordered transition metal dichalcogenide monolayers
• 0-$\pi$ transition in magnetic triplet superconductor Josephson junctions
• Interface induced Zeeman-protected superconductivity in ultrathin crystalline lead films
• Charge and Spin Currents in Ferromagnetic Josephson junctions
• Josephson current in diffusive multilayer superconductor/ferromagnet/superconductor junctions
• Yu-Shiba-Rusinov states and topological superconductivity in Ising paired superconductors
• Magnetoanisotropic spin-triplet Andreev reflection in ferromagnet-Ising superconductor junctions
• Valley Edelstein Effect in Monolayer Transition Metal Dichalcogenides
• Josephson junction on one edge of a two dimensional topological insulator affected by magnetic impurity
• Proximity-Induced Mixed Odd and Even Frequency Pairings in Monolayer NbSe${}_2$
• Microwave-induced pi-junction transition in a superconductor / quantum-dot / superconductor structure
• Josephson current transport through a Quantum Dot in an Aharonov-Bohm Ring
• Josephson effect between triplet superconductors through a ferromagnetic barrier of finite width
• Tunable ground states in helical $p$-wave Josephson junctions

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• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects
• Controlling charge and spin transport in an Ising-superconductor Josephson junction
• Spin-valley dependent double Andreev reflections in the proximitized graphene/superconductor junction
• Spin Transport in Normal Metal-Ising Superconductor Junction
• Phase transitions in quantum dot-Majorana zero mode coupling systems
• Specular-Andreev reflection and Andreev interference in an Ising superconductor junction