Overlooked Contribution to the Hall Effect in Ferromagnetic Metals

TL;DR

This paper highlights a previously overlooked contribution to the Hall effect in ferromagnetic metals caused by spin currents, which is independent of scattering and persists at zero temperature.

Contribution

It identifies a new, scattering-independent contribution to the Hall voltage in ferromagnetic metals due to spin currents, previously neglected in analyses.

Findings

The contribution exists at zero temperature.

The sign of the Hall coefficient varies with band filling.

This effect is independent of scattering effects.

Abstract

It is pointed out that in ferromagnetic metals a contribution to the Hall voltage arises when a non-zero spin current exists, which is generally the case in the presence of a charge current. This contribution is independent of any scattering effects and exists down to zero temperature. The sign of the resulting Hall coefficient may be either equal or opposite to the one of the ordinary Hall coefficient depending on the band filling. This effect seems to have been left out in previous analyses of the Hall effect in ferromagnetic metals.