# Intrinsic Superspin Hall Current

## TL;DR

This paper predicts an intrinsic superspin Hall current in Josephson junctions with heavy metals and ferromagnets, where a charge supercurrent induces a dissipationless transverse spin supercurrent due to mixed p-wave and s-wave superconducting correlations.

## Contribution

It introduces the concept of an intrinsic superspin Hall current arising from the coexistence of p-wave and s-wave correlations in superconductor-ferromagnet structures.

## Key findings

- Charge supercurrent induces transverse spin supercurrent without energy dissipation.
- The effect originates from antisymmetric spin density near the interface.
- Predictions can be tested in hybrid structures with heavy metals and ferromagnets.

## Abstract

We discover an intrinsic superspin Hall current: an injected charge supercurrent in a Josephson junction containing heavy normal metals and a ferromagnet generates a transverse spin supercurrent. There is no accompanying dissipation of energy, in contrast to the conventional spin Hall effect. The physical origin of the effect is an antisymmetric spin density induced among transverse modes $k_y$ near the interface of the superconductor arising due to the coexistence of $p$-wave and conventional $s$-wave superconducting correlations with a belonging phase mismatch. Our predictions can be tested in hybrid structures including thin heavy metal layers combined with strong ferromagnets and ordinary $s$-wave superconductors.