# Long-ranged triplet supercurrent in a single in-plane ferromagnet with spin-orbit coupled contacts to superconductors

## TL;DR

This paper demonstrates that in a lateral Josephson junction with a single in-plane ferromagnet and spin-orbit coupled contacts, long-range supercurrents can be controlled via in-plane magnetization, simplifying the generation of spin-polarized supercurrents.

## Contribution

It introduces a novel junction design enabling in-plane magnetization control of supercurrents through Rashba spin-orbit interactions without complex magnetic textures.

## Key findings

- Supercurrent magnitude is tunable by in-plane magnetization angle.
- Long-ranged supercurrents are achievable with a single magnetic layer.
- Simplifies the generation of controllable spin-polarized supercurrents.

## Abstract

By converting conventional spin-singlet Cooper pairs to polarized spin-triplet pairs, it is possible to sustain long-ranged spin-polarized supercurrents flowing through strongly polarized ferromagnets. Obtaining such a conversion via spin-orbit interactions, rather than magnetic inhomogeneities, has recently been explored in the literature. A challenging aspect with regard to experimental detection has been that in order for Rashba spin-orbit interactions, present e.g. at interfaces due to inversion symmetry breaking, to generate such long-ranged supercurrents, an out-of-plane component of the magnetization is required. This limits the choice of materials and can induce vortices in the superconducting region complicating the interpretation of measurements. Therefore, it would be desirable to identify a way in which Rashba spin-orbit interactions can induce long-ranged supercurrents for purely in-plane rotations of the magnetization. Here, we show that this is possible in a lateral Josephson junction where two superconducting electrodes are placed in contact with a ferromagnetic film via two thin, heavy normal metals. The magnitude of the supercurrent in such a setup becomes tunable by the in-plane magnetization angle when using only a single magnetic layer. These results could provide a new and simpler way to generate controllable spin-polarized supercurrents than previous experiments which utilized complicated magnetically textured Josephson junctions.