Transverse Spin Supercurrent at p-wave magnetic Josephson Junctions

We theoretically study a Josephson junction consisting of s-wave superconductors and a p-wave magnet. We find that in the presence of a strength vector of p-wave magnet, the electrons' and holes' dispersion relation shifts in the k-space. Additionally, we demonstrate that the perpendicular component of the strength vector converts Andreev bound states into Andreev modes that can propagate along the junction's interfaces. These modes create a transverse spin supercurrent while their transverse charge supercurrent is zero. These features open an opportunity to design superconducting spintronics devices.