Controlling charge and spin transport in an Ising-superconductor Josephson junction
Gaomin Tang, Raffael L. Klees, Christoph Bruder, and Wolfgang Belzig

TL;DR
This paper investigates how an in-plane magnetic field influences charge and spin supercurrents in an Ising superconductor Josephson junction with ferromagnetic layers, revealing tunable triplet pairing and novel current-phase behaviors.
Contribution
It introduces a method to control charge and spin supercurrents via magnetic exchange fields in Ising superconductor Josephson junctions, demonstrating switchable currents and $ ext{π}$-states.
Findings
Charge current is switchable by exchange field alignment.
A $ ext{π}$-state can be realized in the junction.
Current-phase relations show $ ext{φ}_0$-junction behavior with ferromagnetic barriers.
Abstract
An in-plane magnetic field applied to an Ising superconductor converts spin-singlet Cooper pairs to spin-triplet ones. In this work, we study a Josephson junction formed by two Ising superconductors that are proximitized by ferromagnetic layers. This leads to highly tunable spin-triplet pairing correlations which allow to modulate the charge and spin supercurrents through the in-plane magnetic exchange fields. For a junction with a nonmagnetic barrier, the charge current is switchable by changing the relative alignment of the in-plane exchange fields, and a -state can be realized. Furthermore, the charge and spin current-phase relations display a -junction behavior for a strongly spin-polarized ferromagnetic barrier.
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