# Intrinsic spin currents in ferromagnets

## TL;DR

First principles calculations reveal that ferromagnets can generate intrinsic spin currents perpendicular to applied electric fields, with potential for efficient spintronic applications due to their comparable conductivities to heavy metals.

## Contribution

The study demonstrates that ferromagnets exhibit intrinsic spin currents combining spin Hall and spin anomalous Hall effects, expanding understanding of spin current generation in magnetic materials.

## Key findings

- Spin currents in ferromagnets are generated perpendicular to electric fields.
- Intrinsic spin currents are not subject to dephasing, allowing misalignment with magnetization.
- Spin Hall and anomalous Hall conductivities in ferromagnets are comparable to heavy metals.

## Abstract

First principles calculations show that electric fields applied to ferromagnets generate spin currents flowing perpendicularly to the electric field. Reduced symmetry in these ferromagnets enables a wide variety of such spin currents. However, the total spin current is approximately the sum of a magnetization-independent spin Hall current and an anisotropic spin anomalous Hall current. Intrinsic spin currents are not subject to dephasing, enabling their spin polarizations to be misaligned with the magnetization, which enables the magnetization-independent spin Hall effect. The spin Hall conductivity and spin anomalous Hall conductivities of transition metal ferromagnets are comparable to those found in heavy metals, opening new avenues for efficient spin current generation in spintronic devices.